one side of a triangle is 5 and the altitude to that side is 12. another side of the triangle is 13. can you tell what the length of the altitude to that side of the triangle is? if not, why not? if so, show what it is.

Answers

Answer 1

12

Yes, it is possible to calculate the length of the altitude to the other side of the triangle. To do so, use the Pythagorean Theorem, which states that in a right triangle, the square of the hypotenuse (the side opposite the right angle) is equal to the sum of the squares of the other two sides.

In this triangle, the hypotenuse is the side of length 13 and the other two sides are the side of length 5 and the altitude to it. So, the equation to use is:

132 = 52 + altitude2

Solving for altitude gives:

altitude2 = 132 - 52

altitude2 = 169 - 25

altitude2 = 144

altitude = √144 = 12

Therefore, the length of the altitude to the side of the triangle with length 13 is 12.

Learn more about Pythagorean Theorem.

brainly.com/question/14930619

#SPJ11


Related Questions

I need the questions 25,28 and 29

Answers

Using the given values, the values of the expression and equations are:

25. -0.8

28. S ≈ 137.22

29. V ≈ 50.94

Evaluating an expression

From the question, we are to evaluate each of the expressions for the given values

25.

[-b + √(b² -4ac)]/2a

a = 2, b = 8, c = 5

Substituting the values into the expression

[-b + √(b² -4ac)]/2a

= [-8 + √((8)² - 4(2)(5))]/2(2)

= [-8 + √(64 - 40)]/4

= [-8 + √(24)]/4

= [-8 + 2√6]/4

= -2 + 1/2(√6)

= -0.775

≈ -0.8

28.

S = 2πrh + 2πr²

r = 2.3, h = 7.1 (Take π = 3.14)

Thus,

S = 2(3.14)(2.3)(7.2) + 2(3.14)(2.3)²

S = 103.9968 + 33.2212

S = 137.218

S ≈ 137.22

29.

V = 4/3 πr³

r = 2.3(Take π = 3.14)

V = 4/3 × 3.14 × (2.3)³

V = 50.939

V ≈ 50.94

Hence, the value of V is 50.94

Learn more on Evaluating an expression here: https://brainly.com/question/29039953

#SPJ1

2sin(2x+π÷3)≥√3
[tex]2 \sin(2x + \frac{\pi}{3} ) \geqslant \sqrt{3} [/tex]
with steps ​

Answers

The solution to the inequality 2sin(2x+π/3)≥√3 is:

x ∈ [-π/6, π/3]

What is inequality?

An inequality is a mathematical statement that compares two values or expressions using symbols such as < (less than), > (greater than), ≤ (less than or equal to), ≥ (greater than or equal to), or ≠ (not equal to). Inequalities are used to express relationships between quantities that are not necessarily equal.

To solve the inequality 2sin(2x+π/3)≥√3, we can follow these steps:

Step 1: Subtract π/3 from both sides to get rid of the constant term on the right-hand side:

2sin(2x+π/3) - π/3 ≥ √3 - π/3

Step 2: Divide both sides by 2 to isolate sin(2x+π/3):

sin(2x+π/3) ≥ (√3 - π/3)/2

Step 3: Use the fact that sin(x) is positive in the first and second quadrants of the unit circle to find the interval of x that satisfies the inequality. To do this, we need to find the angles α and β such that sin(α) = (√3 - π/3)/2 and sin(β) = - (√3 + π/3)/2. Then, the solution interval will be:

α/2 - π/6 ≤ x ≤ β/2 + π/6

To find α and β, we can use the inverse sine function on a calculator or look them up in a table. We get:

α ≈ 0.4636 radians

β ≈ 2.6779 radians

Substituting these values into the solution interval, we get:

0.2318 - π/6 ≤ x ≤ 1.3389 + π/6

Simplifying, we get:

-π/6 ≤ x ≤ π/3

Therefore, the solution to the inequality 2sin(2x+π/3)≥√3 is:

x ∈ [-π/6, π/3]

To know more about inequalities

https://brainly.com/question/30228778

#SPJ1

Find the missing value
73cm
92cm

5cm
?cm

Answers

Answer:

6.3cm

Step-by-step explanation:

73/5 = 92/x

cross multiply to get: 73x=460

divide both sides by 73

x=6.3

algebra 1a/b opt #1 performance task: task linear regression

Answers

Answer:

Step-by-step explanation:

Not sure.

How To Do 387 x 72 In standard algorithm.​

Answers

Answer: k898

iiii

Step-by-step explanation:

k8ni7mrvnyrt

In a free throw shooting contest, the winner is randomly given one of 5 prizes. How can you simulate the winner being given a certain prize?​

Answers

After answering the provided question, we can conclude that You can expression run this code several times to simulate the winner receiving different prizes at random.

what is expression ?

In mathematics, an expression is a group of representations, digits, and conglomerates that resemble a statistical correlation or regimen. An expression can be a real number, a mutable, or a combination of the two. Addition, subtraction, rapid spread, division, and exponentiation are examples of mathematical operators. Arithmetic, mathematics, and shape all make extensive use of expressions. They are used in mathematical formula representation, equation solution, and mathematical relationship simplification.

To simulate the winner receiving a prize at random, use a random number generator to generate a number between 1 and 5, with each number representing a prize. Here's some Python code to help you out:

# create a list of prizes

prizes = ['prize A', 'prize B', 'prize C', 'prize D', 'prize E']

# simulate the winner being given a prize

winner_prize = random.choice(prizes)

print('The winner has been given', winner_prize)

In this case, the random.choice() function chooses one prize at random from a list of prizes and assigns it to the winner prize variable. The code's output will be a message displaying the prize awarded to the winner. You can run this code several times to simulate the winner receiving different prizes at random.

To know more about expression visit :-

https://brainly.com/question/14083225

#SPJ1

I Really want this pleaseeeeeeeeeeeeeeeeeee

Answers

Answer:

no

Step-by-step explanation:

using Pythagorean theorem:

[tex]26^{2} +42^{2}=50^{2}[/tex]

676+1764=2500

2440=2500

2440<2500

Answer:no

Kiki blew up 64 balloons. She separated the balloons into 8 groups. She then added 4 more balloons to each group.

How many balloons are in each group?

Responses

4 balloons
4 balloons

8 balloons
8 balloons

12 balloons
12 balloons

18 balloons

Answers

Answer: 12

Step-by-step explanation: if you take the number 64 and devide it by 8 you get 8. then add 4 to eight and you get twelve

There is 8 groups so you divide 64 by 8
64/8=8
If each group has 8 balloons and Kiki adds 4 more to all of the groups that would be 8+4 = 12
Each group has 12 balloons

a proof is a step-by-step . (write one word; two possible correct answers.) 2. informal proofs in this class are written in which language? 3. formal proofs that we will soon learn are written in which language? 4. informal proofs should start with the

Answers

1. A proof is a step-by-step Argument/Explanation.

2. Informal proofs in this class are written in English language.

3. Formal proofs that we will soon learn are written in Fitch notation language.

4. Informal proofs should start with the word given and end with the word therefore.

1. A proof is used to show that a statement is true or that a given statement follows logically from given assumptions. A proof can be used to prove a theorem, corollary, or lemma, or to solve an equation.

2. Informal proofs in this class are written in English in order to make them easier to understand. The proof should explain the reasoning behind each step and provide clear evidence that the conclusion is valid.

3. Formal proofs that we will soon learn are written in Fitch notation language, which is a language used to represent logical proof structures. Fitch notation consists of lines of logical statements, linked together with arrows that indicate the structure of the proof.

4. Informal type of proof is often used in mathematics as it does not require a formal proof. It is used to explain why a certain statement is true. It usually involves making an assumption and then deriving a logical conclusion from that assumption.

To learn more about Formal and Informal Proof link is here

brainly.com/question/29994896

#SPJ4

The complete question is:

1. A proof is a step-by-step ____________ . (Write one word; two possible correct answers.)

2. Informal proofs in this class are written in which language?

3. Formal proofs that we will soon learn are written in which language? _____________

4. Informal proofs should start with the word ______________ and end with the word _________________ .

the height of a parallelogram is 10 feet more than the length of the base. if the area of the parallelogram is 1200 square feet, find the length of the base and the height.

Answers

The length of the base of a parallelogram is 30 feet and the height is 40 feet.

Given that the height of a parallelogram is 10 feet more than the length of the base, and the area of the parallelogram is 1200 square feet. We have to find the length of the base and the height. Let the length of the base of a parallelogram be x. Then, the height of the parallelogram = x + 10.

We know that the area of a parallelogram is given by; A = base × height1200 = x(x + 10). Simplify the equation1200 = x² + 10x. Rearrange the equationx² + 10x - 1200 = 0. On solving this quadratic equation, we get; x = 30 and x = -40.

Since the length of the base cannot be negative, therefore, the length of the base is 30 feet. So, the height of the parallelogram is 30 + 10 = 40 feet. Therefore, the length of the base of a parallelogram is 30 feet and the height is 40 feet.

To know more about parallelogram refer here:

https://brainly.com/question/29147156

#SPJ11

when changes in one variable tend to be accompanied by specific changesin another, the two variables are said to .

Answers

The two variables are said to have a correlation.

Correlation is a statistical measure of the relationship between two variables. When two variables are correlated, changes in one will be associated with changes in the other. For example, as the temperature increases, ice cream sales will also increase.

The correlation coefficient is a measure of the strength of the relationship between two variables. If the coefficient is close to +1, there is a strong positive correlation.

This means that as one variable increases, the other also increases. If the coefficient is close to -1, there is a strong negative correlation. This means that as one variable increases, the other decreases. If the coefficient is close to zero, the variables are said to have no correlation.

Correlation does not necessarily imply causation. It only indicates that two variables are related and does not necessarily explain why.

For example, two variables can be correlated because of a third variable. Therefore, correlation does not always indicate a causal relationship between two variables.

To know more about correlation click on below link:

https://brainly.com/question/30116167#

#SPJ11

Two numbers add to 90 degrees. The larger angle is 54 more than twice the smaller. How many degrees are in each angle?

Answers

Answer:

12 and 78

Step-by-step explanation:

x + 2x+54 = 90 2x+54=2(12)+54

24+54

78

3x + 54 = 90

3x = 36

x=12

12 and 78

the total number of goals scored per soccer match in the english premier league (epl) follows a poisson distribution, with mean 2.768. what is the probability that three or more goals will be scored in a game?

Answers

The probability of three or more goals being scored in an EPL match is approximately 0.522, or 52.2%.

To find the probability that three or more goals will be scored in a game, we need to calculate the cumulative probability of the Poisson distribution for x = 3, 4, 5, and so on, up to infinity. This can be written as:

P(X ≥ 3) = 1 - P(X < 3)

where X is the random variable representing the number of goals scored in a match.

To calculate P(X < 3), we can use the Poisson distribution formula:

[tex]P(X = x) = (e^{(-\lambda)} \times \lambda^x) / x![/tex]

where e is the mathematical constant approximately equal to 2.71828, and x! represents the factorial of x.

Using this formula, we can calculate the probabilities of scoring 0, 1, and 2 goals:

[tex]P(X = 0) = (e^{(-2.768)} \times 2.768^0) / 0! = 0.063\\\\P(X = 1) = (e^{(-2.768)} \times 2.768^1) / 1! = 0.174\\\\P(X = 2) = (e^{(-2.768)} \times 2.768^2) / 2! = 0.241[/tex]

To find P(X < 3), we add these probabilities:

P(X < 3) = P(X = 0) + P(X = 1) + P(X = 2) = 0.063 + 0.174 + 0.241 = 0.478

Finally, we can calculate the probability of scoring three or more goals using the formula we derived earlier:

P(X ≥ 3) = 1 - P(X < 3) = 1 - 0.478 = 0.522 or 52.2%

To know more about probability here

https://brainly.com/question/11234923

#SPJ4

two marbles are drawn without replacement from a box with 3 white, 2 green, 2 red, and 1 blue marble. find the probability that both marbles are red.

Answers

The probability that both marbles are red is 2/14 or 1/7.

This is because there are only two red marbles in the box, so the probability of the first being drawn is 2/14 (or 1/7). Since the first marble is not replaced, the probability of the second being drawn is also 2/14 (or 1/7). Mathematically, this can be expressed as: P(Both Red) = P(Red 1) x P(Red 2) = (2/14) x (2/14) = 1/7

In general, when dealing with probability questions involving drawing multiple objects from a box, the probability of drawing one object followed by another is calculated by multiplying the probability of drawing each individual object.

In the case of two marbles being drawn without replacement, the probability of both marbles being the same color is calculated by multiplying the probability of the first marble being of that color by the probability of the second marble being of that color.

The probability of the second marble being of the same color is lower than the probability of the first marble being of that color since it is drawn from a reduced set (the original set minus the first marble).

In this case, the probability of the second marble being of the same color as the first is 2/14, or 1/7. In conclusion, the probability of both marbles being red is 2/14, or 1/7.

For more such questions on Probability.

https://brainly.com/question/20396773#

#SPJ11

ann gave 10% of her time to point i, 15% of her time to point ii, and 75% of her time to point iii. what does this division indicate?

Answers

Answer:

Point I and Point II may not need to be main points.

Ann's main points are not balanced.

Parallel structure will not work with Ann's speech topic.

Step-by-step explanation:

This division indicates that Ann prioritized Point III above Points I and II. Point III was allocated the most of Ann's time (75%), while Point I and II were each given 10% and 15%, respectively. This is a sign that Ann placed a higher priority on Point III.

In terms of the actual percentages, this could indicate a variety of things. It could mean that Ann felt Point III was more important than the other two points, or that Point III took more time to complete than the other two points. It could also mean that Ann was trying to achieve a specific ratio of her time dedicated to each point.
Regardless of the reasoning, this division of Ann's time shows that she placed a higher priority on Point III. This could mean that Point III was more important to her overall goal than the other two points, or that Point III required a larger amount of her time.

By understanding this division of Ann's time, we can gain insight into what she felt was important, and how she chose to prioritize her time. This can be used to better understand Ann's thought process and her overall goal.

To know more about division  refer here:

https://brainly.com/question/13624233

#SPJ11

8. A rectangular room is shown.
4x - 1
--x
2
3x + 6
A. (4x-1)-2x
B. (3x2+6) + (4x - 1) + x
C. (4-1)-(3x² + 6)
(3x2+6) + 2(4x - 1) + 2x
Door
X
4x - 1
Port A: Which of the following expressions represents the perimeter of the room without th
door?
(3x²+6)+(x-1)x2+²x = (3x²+6) + 2(9x-=
Port B: What is the perimeter of the room without the door in simplest form? Show you
work.

I only need part b

Answers

Answer: 14x + 10

Step-by-step explanation: The perimeter of the room without the door can be found by adding up the lengths of all four sides:

Perimeter = 2(4x-1) + 2(3x+6)

Simplifying and combining like terms, we get:

Perimeter = 14x + 10

Therefore, the perimeter of the room without the door in simplest form is 14x + 10.

what is the difference between the lowest price in store 1 and the lowest price in store 2 the highest prices?.

Answers

The difference between the lowest price in store 1 and the lowest price in store 2 is the result of the key used to identify the store. The difference between the highest prices in store 1 and store 2 is the result of the key used to identify the store, with both stores having the same price.

What is difference?

The difference between the two terms is that "difference" refers to the way in which two or more things are not the same, whereas "difference" is more of a comparison between two or more things.

The difference between the lowest price in store 1 and the lowest price in store 2 is the difference between the first digit of each store's key. In the case of store 1, the key is 110 and the first digit is 1. In the case of store 2, the key is 210 and the first digit is 2. The difference between the two digits is 1.

The difference between the highest prices in store 1 and store 2 is the difference between the last digit of each store's key. In the case of store 1, the key is 110 and the last digit is 0. In the case of store 2, the key is 210 and the last digit is 0. The difference between the two digits is 0.

The difference between the lowest price in store 1 and the lowest price in store 2 is the result of the key used to identify the store. In the case of store 1, the key is 110 and the first digit is 1. In the case of store 2, the key is 210 and the first digit is 2. The difference between the two digits is 1. This difference is reflected in the lowest prices of each store, with store 1 having a lower price than store 2.

The difference between the highest prices in store 1 and store 2 is the result of the key used to identify the store. In the case of store 1, the key is 110 and the last digit is 0. In the case of store 2, the key is 210 and the last digit is 0. The difference between the two digits is 0. This difference is reflected in the highest prices of each store, with both stores having the same price.

For more questions related to price

https://brainly.com/question/1153322

#SPJ1

a schools class rings can include a student's initials in an engraved monogram on the ring. How many different monograms are possible form 2 sizes, 5 type styles, and 3 boarder styles?

Answers

there are 30 different monograms possible, based on the given choices.


A monogram is a design that uses the initials of a person's name, usually in an artistic or decorative way. In the case of school class rings, the monogram is often engraved onto the surface of the ring. The monogram typically consists of the student's initials, with the first initial on the left, the middle initial (if applicable) in the centre, and the last initial on the right.

In this problem, we are given that there are two sizes of initials (presumably a larger size for the first and last initials, and a smaller size for the middle initial), five different type styles (i.e., different ways the letters can be designed), and three different border styles (i.e., different decorative borders around the monogram).

To calculate the total number of possible monograms, we need to multiply the number of choices for each category. This is known as the multiplication principle of counting.

So, we start by considering the number of choices for the initial sizes. We are given that there are two sizes, so there are two choices. Next, we consider the number of choices for the type styles. We are given that there are five different type styles, so there are five choices. Finally, we consider the number of choices for the border styles. We are given that there are three different border styles, so there are three choices.

To get the total number of possible monograms, we multiply the number of choices for each category together. So we get:

2 (initial sizes) x 5 (type styles) x 3 (border styles) = 30

Therefore, there are 30 different monograms possible, based on the given choices.
To know more about monogram go through:-

https://brainly.com/question/2336835

#SPJ9

the empirical rule says that 95% of the population is within 2 standard deviations of the mean, but when i find the z-scores that mark off the middle 95% of the standard normal distribution i calculate -1.96 and 1.96. is this a contradiction? why or why not? in other words why are the normal distribution calculators not agreeing with the empirical rule?

Answers

The empirical rule states that approximately 95% of the population lies within 2 standard deviations of the mean for a normal distribution, but you found that the z-scores that mark off the middle 95% of the standard normal distribution are -1.96 and 1.96. This does not represent a contradiction, and I will explain why is it so ?



The empirical rule, also known as the 68-95-99.7 rule, is a useful guideline to help us understand the proportions of data in a normal distribution. According to this rule, about 68% of the data falls within 1 standard deviation, 95% within 2 standard deviations, and 99.7% within 3 standard deviations. However, it is essential to note that the empirical rule is a simplified approximation.


On the other hand, the z-scores that you calculated, -1.96 and 1.96, are more precise values based on the actual standard normal distribution. These values come from a more accurate calculation using the cumulative distribution function (CDF) of the normal distribution, which gives the exact probability for any given range of z-scores.


To know more about empirical rule click here

brainly.com/question/30404590

#SPJ11

A person runs in a straight line across a field. The velocity of the person, v(t) is a differentiable function and selected values of v(t) are given above on the interval 0

Answers

Therefore, the average velocity of the person over the interval 0 ≤ t ≤ 12 can be calculated as follows:Average Velocity = Total distance travelled / Total time taken= 6.6 / 12= 0.55 m/s.

In the given question, we need to find the average velocity of a person running in a straight line across a field, given differentiable function v(t) on the interval [0,12]. Therefore, to calculate the average velocity of a person, we use the following formula:Average Velocity = Total distance travelled / Total time takenWe have a graph with the velocity of the person, which is a differentiable function v(t) given above on the interval 0 ≤ t ≤ 12.

We need to find the distance travelled by the person. Therefore, we use the following formula:Distance travelled = ∫v(t)dt From the given graph, the velocity of the person is zero when t = 0 and when t = 5. Similarly, the velocity of the person is 0 when t = 10 and when t = 12.So, we have to calculate the distance travelled from 0 to 5, from 5 to 10, and from 10 to 12 to determine the total distance travelled by the person over the given interval .Distance travelled from 0 to 5 can be calculated as follows :

Distance travelled from 0 to 5 = ∫v(t)dt from [tex]0 to 5= 5 x 0.6 = 3[/tex]Distance travelled from 5 to 10 can be calculated as follows :Distance travelled from 5 to 10 = [tex]∫v(t)dt[/tex] from [tex]5 to 10= 5 x 0.4 = 2[/tex]

Distance travelled from 10 to 12 can be calculated as follows: Distance travelled from 10 to 12 = ∫v(t)dt from 10 to 12= 2 x 0.8 = 1.6Total distance travelled = Distance travelled from 0 to 5 + Distance travelled from 5 to 10 + Distance travelled from 10 to [tex]12= 3 + 2 + 1.6= 6.6[/tex]

for such more questions on average velocity

https://brainly.com/question/1844960

#SPJ11

Find the number of degrees in an angle which is 120 less than its supplement?

Answers

The angle in question measures 60 degrees.

What are supplementary angles?

Supplementary angles are two angles that has sum of 180 degrees. In other words, if you have two angles that are next to each other, and when you add them together, they equal 180 degrees, then those angles are considered to be supplementary.

Let x be the measure of the angle in question.

The supplement of an angle is the angle that, when added to the given angle, results in a sum of 180 degrees. So, the supplement of x is 180 - x.

The problem tells us that the given angle (x) is 120 degrees less than its supplement (180 - x).

Therefore, we can set up the equation:

x = (180 - x) - 120

Simplifying this equation, we get:

x = 60

So, the angle in question measures 60 degrees.

To learn more about supplementary angles visit the link:

https://brainly.com/question/12919120

#SPJ9

Can you please help me and also explain

Answers

Answer:

We can begin by simplifying each equation:

A. 52 = 8n + 4 can be rewritten as 48 = 8n or 6 = n

B. 4(2n + 1) = 52 can be simplified to 8n + 4 = 52 or 8n = 48 or 6 = n

C. 4=52-8n can be rewritten as 8n = 48 or 6 = n

D. 4n = 48 can be simplified to n = 12

Therefore, equations A, B, and C are equivalent, and equation D is not equivalent to the others.

So, the correct answers are A, B, and C.

Answer:

Step-by-step explanation:first you have to multiply then divide then add then subtract and then substitute and then you will get the answer.

PLS HELP! WILL MAKE U BRAINLIST

Answers

Answer:

(5,2)

Step-by-step explanation:

Let's solve your system by substitution.

[tex]x+y=7{\text{ ; }}x=y+3[/tex]

Step 2: let Solve [tex]$x+y=7$[/tex] for[tex]$x$[/tex]

[tex]x+y=7[/tex]

[tex]x+y +(-x)=7+(-x)[/tex] (Add (-x) on both sides)

[tex]y=-x+7[/tex]

0+(x)=7-x-y+(x)   (Add (x) on both sides)

x = -y + 7

x/1 = -y+7/1  (divide through by 1)

x = -y + 7

Substitute -y+7 for x in x = y + 3, then solve for u

(-y + 7) = y + 3

-y + 7 = y + 3 (simplify)

-y+7+(-7) = y + 3 + (-7)    (Add (-7) on both sides)

-y=y-4

-y = y-4 (simplify)

-y+(-y)=y-4+(-y)  (Add (-y) on both sides)

-2y-=-4

-2y/-2 = -4/-2  (Divide through by -2)

y = 2

Substitute in 2 for y in x = -y + 7

x =  -y+7

x = -2+7

x = 5

Answer:

x = 5 and y = 2

An aquarium tank holds 190 liters of water. How much is this in gallons? Use the following conversion: 1 gallon is 3. 8 liters. What is the Answer?

Answers

The aquarium tank that holds 190 liters of water equals to 50.15 gallons. Therefore, the answer to the given problem is 50.15 gallons.

Conversion factors are the ratios that describe the numerical relationship between two units of measurement.

The conversion factor of liters to gallons is 1 gallon is 3.8 liters.

Therefore, by multiplying the given value of liters by the conversion factor of liters to gallons, we can convert liters to gallons.

190 liters x 1 gallon/3.8 liters = 50.15 gallons

Thus, the aquarium tank that holds 190 liters of water equals to 50.15 gallons.

for such more question on aquarium tank

https://brainly.com/question/9697576

#SPJ11

Can you solve this with workings out please

Answers

Answer:

Eighty biscuits.

Step-by-step explanation:

We need to find the limiting factor. We can do that by comparing ratio of mass of ingredient given to mass of ingredient needed for 20 biscuits

[tex]Butter:\\800:150\\=16:3\\=5.33\\Sugar:\\700:75=28:3\\=9.33\\Flour:\\1000:180\\=50:9\\=5.56\\Chocolate Chips:200:50\\=4:1\\=4\\[/tex]

We can clearly see that the choco. chips are the limiting factor since it has the lowest ratio, basically meaning we will run out of choco chips before anything else.

[tex]Biscuits=4*20=80[/tex]

Since we only have 4 times the choco chips needed to make 20 biscuits, we can only make 80 biscuits. Now you can see, we have other ingredients left, but choco chips have ran out which is why it was the limiting factor.

[tex]Flour:\\1000-4(180) = 280g[/tex]

After making 4 servings we still have 280g of flour left.

What is the mean of this data set?

The line graph is titled Amount of Rainfall. The Y axis is labeled inches. The X axis is labeled weeks. Week 1 has a dot at 2 inches. Week 2 has a dot at 3 inches. Week 3 has a dot at 1 inch. Week 4 has a dot at 3 inches. Week 5 has a dot at 5 inches. Week 6 has a dot at 4 inches. The dots are connected one to the next by a line to show a change in the amount of rainfall.

1
2
3
4

Answers

Answer: To find the mean of this data set, we need to add up all the amounts of rainfall and divide by the number of weeks. From the line graph, we can estimate the following amounts of rainfall:

Week 1: 2 inches

Week 2: 3 inches

Week 3: 1 inch

Week 4: 3 inches

Week 5: 5 inches

Week 6: 4 inches

To calculate the mean, we need to add up these amounts and divide by 6 (the number of weeks):

(2 + 3 + 1 + 3 + 5 + 4) / 6

= 18 / 6

= 3

Therefore, the mean amount of rainfall in this data set is 3 inches. The answer is (B) 3.

Step-by-step explanation:

S.
5.
You may be surprised to learn that prime
numbers are used for sending information
securely over the internet. The internet uses
computers, so they do this by multiplying two
huge prime numbers. It is hard work. Here is
a challenge for you. The number 51 is the
product of two prime numbers. What are the
two prime numbers?

Answers

The prime factors or the prime numbers whose product is 51 are 3 and 17.

What is the operation of prime numbers?

The operation of prime numbers refers to the various mathematical operations that can be performed using prime numbers. Prime numbers are positive integers that have exactly two divisors, 1 and the number itself. Some of the important operations involving prime numbers include:

Prime factorizationGCD and LCMModular arithmeticPrimality testingCryptography

Now,

If you meant to ask for the prime factors of 51, then they are 3 and 17.

because 51 is divisible by 3 because 5+1=6

and after dividing 51/3=17 which is also a prime number.

Hence,

            the prime factors of 51 are 3 and 17.

To know more about Prime numbers visit the link

brainly.com/question/881160

#SPJ1

decrease 144 in the ratio 4:3​

Answers

Answer:

If you want to decrease 144 in the ratio of 4:3, you can do so by first finding the difference between the two parts of the ratio (4-3=1) and then dividing 144 by this difference (144/1=144). This gives you the value of one part of the ratio. You can then multiply this value by 3 to find how much you need to decrease 144 by: 144 * 3 = 432. So if you decrease 144 by 432, it will be in the ratio of 4:3.

Step-by-step explanation:


[tex] \frac{cos9 + \sin9 }{cos9 - sin9} = tan54[/tex]
Prove the above question​

Answers

Solution:

To Prove :

[tex] \sf \dfrac{\cos9\degree + \sin9\degree }{\cos9\degree- \sin9\degree} = \tan54\degree \\ \\ [/tex]

[tex] \sf LHS = \dfrac{\cos9\degree + \sin9\degree }{\cos9\degree- \sin9\degree} \\ \\ [/tex]

[tex] \sf RHS = \tan54\degree \\ \\ [/tex]

Solving for LHS :

Divide numerator and denominator by cos9°

[tex]\longrightarrow \: \: \sf\dfrac { \dfrac{ \cos9\degree}{ \cos9\degree} + { \dfrac{\sin9}{ \cos9} }}{ \dfrac{ \cos9\degree }{ \cos9\degree} - { \dfrac{ \sin9\degree}{ \cos9\degree}}} \\ \\ [/tex]

[tex] \longrightarrow \: \: \sf\dfrac{1 + { \dfrac {\sin9\degree}{ \cos9\degree}} }{1 - { \dfrac{ \sin9\degree}{ \cos9\degree} }} \\ \\ [/tex]

[tex]\longrightarrow \: \: \sf \dfrac{1 + \tan9\degree}{1 - \tan9\degree} \\ \\ [/tex]

[tex]\longrightarrow \: \: \sf{ \dfrac{ \tan45 \degree + \tan9\degree}{1 - \tan45 \degree \tan9 \degree}} \: \: \: \: \: \: \: \sf \red{\bigg( \tan(A + B) = \dfrac{ \tan A + \tan B}{1 - \tan A \tan B} \bigg)} \\ \\ [/tex]

[tex]\longrightarrow \: \: \sf \tan(45\degree + 9\degree) \\ \\ [/tex]

[tex]\longrightarrow \: \: \sf \tan54 \degree[/tex]

LHS = RHS

Hence, proved!!

at noon, a truck and a car leave the same intersection traveling in the same direction. the truck is traveling at 30 mph and the car is traveling at 42 mph. at what time will they be 9 miles apart?

Answers

Considering they left at precise noon, at 12:45 they will be 9 miles apart after they leave the intersection.

Let's call the time it takes for them to be 9 miles apart "t". During this time, the truck will have traveled a distance of 30t, and the car will have traveled a distance of 42t. Since they are traveling in the same direction, we can subtract the distances to find the distance between them:

42t - 30t = 12t

So they are separating at a rate of 12 miles per hour.

To find when they will be 9 miles apart, we can set up the equation:

12t = 9

Solving for t:

t = 9/12

t = 0.75 hours,

To convert 0.75 hours into minutes, we have to multiply it by 60.

= 0.75 × 60

= 45 minutes

So they will be 9 miles apart 45 minutes after they leave the intersection, or at 12:45pm.

                     

To learn more about equation click here

brainly.com/question/29657983

#SPJ4

Other Questions
Russell surveys 200 randomly selected seventh-graders in his school and finds that 30 attend summer camp. If there are 780 seventh-graders in his school, about how many are expected to attend summer camp? HELP !! 6. Imagine that Earths magnetic field was fixed in place and the polarity didnt reverse. What effect would this have on our observations of seafloor basalts? a nurse cares for a client who is postoperative cholecystectomy. which action by the nurse is appropriate to help prevent the occurrence of venous stasis? what is net profit? select one: a. operating profit less interest, taxes, and depreciation b. cogs less operating expenses c. gross sales minus net sales d. a measurement of the liquidity of the firm e. net sales minus the cost of goods sold Define the definition: Heterozygous which defense is often used to show a lack of intent due to inducement by government agents? someone rate my essay and give any suggestions if necessary.here's my essay: More teens are using E-cigarettes.Teen's mental health is getting worse due to E-cigarettes. Each year a large number of teens get intrigued by vapes. This issue is essential because E-cigarettes are the central causes of mysterious lung diseases, organ damage, and addiction. Supporters argue that the government should put more regulations on the vaping industry as it is a danger to our health and opponents argue that strictly regulating the industry infringes on their rights. One reason the government should regulate vaping is that it can be addictive among the young age group. The article Vaping and E-cigarettes, shows evidence of why vaping is harmful to teens. The article mentions a report by Surgeon Luther Terry. He states, smoking lowered life expectancy and was a chief cause of lung cancer and other diseases. This statement by Terry gives a clear reason why the government should regulate E-cigarettes. They can be life-threatening and cause incurable diseases such as dementia and Alzheimer's. Additionally, a CDC announcement was made in 2019, stating that more than 2,600 people have been sickened, and at least 60 killed, since the epidemic of vaping-related lung illnesses. Smoking, the CDC states, is the leading cause of preventable death in the United States. Additional studies found smokers to be twice as likely as nonsmokers to suffer a stroke or to develop heart disease, and 10 times more likely to die of chronic obstructive lung disease. About 480,000 Americans die each year as a result of smoking-related illnesses. A September 2018 study, published by Tobacco Control estimated, based on data from the U.S. Consumer Product Safety Commission that Nguehou1vaping devices caused more than 2,000 explosions and burn injuries in the United States from 2015 to 2017. E-cigarettes are powered with batteries that can overheat if not properly handled or well stored, and could lead to severe injuries or even death. Due to the unsafe and life-threatening conditions of vaping, the government should regulate vaping, to prevent these issues from occurring. Vapes contain addictive chemicals like food flavors, tobacco, and nicotine. The chemicals they include in the vapes are addictive, poisoning, and can harm the developing brain. King James, an English monarch, denounced smoking in 1604, calling it "loathsome to the eye, hateful to the nose, harmful to the brain, and dangerous to the lungs,". The popularity of cigarettes in the United States grew unsteadily over the next few decades. Despite its popularity and health consequences. E-cigarettes were also found to be harmful to our environment. A study from Truth Initiative estimates that More than half (51%) of young e-cigarette users reported disposing of used e-cigarette pods or empty disposables in the trash, 17% in a regular recycling bin not designed for e-cigarette waste, and 10% reported they simply throw them on the ground, according to Truth Initiative research conducted in 2020. In another study by the Truth initiative in 2019, almost half (46.9%) of e-cigarette device owners said that the e-cigarette devices they used currently did not provide any disposal information, such as where to send used batteries or empty pods. E-cigarette manufacturers do not provide their consumers with guidance on how to properly dispose of their devices. E-cigarette manufacturers take advantage of young consumers through media, education, and even news. According to NBC News, some e-cigarette sellers have offered scholarships by asking students to write essays regarding the potential benefits of vaping, some with age restrictions. Dam Goldstein, director of Tobacco Intervention Programs at UNC-Chapel Hill, explains in an interview that essays that require kids to write about potential positive health benefits, from their perspective as kids, really is manipulating kids in ways that are disingenuous.. These scholarships directly target young people that are willing to get a scholarship. E-cigarette manufacturers also use the internet to spread their marketing, encouraging young people to consume their products and influencing their peers to follow their steps. Young consumers need to be more educated about E-cigarettes as they are a huge problem in our community. The government should regulate the vaping industry to prevent teens from using them. Adding regulations like age limits can prevent lung diseases and addiction. It could provide them with a better future and a healthier mental state. PLEASE HELP FOR 20 POINTS!Which expression is equivalent to 1/2 x -1 A. 1/3(3/2 x -1) B. 2/3(3/2 x - 3/2) C. -2/3(3/2 - 3/4x)D. -2/3(-3/4 x - 3/2 A long the fossil bone was discovered at the site in south eastern China a student proposes that the bone belongs to a mastodon because the site is on the same continent is Siberia has the student analyzed and interpreted the data correctly which is the best description of a psychoactive drug? group of answer choices it increases metabolic rate. intoxication is a primary effect. a prescription is required for these substances. analgesia is a primary effect. What are the domains of the universal phylogenetic tree? when sitting at a computer running linux, what key combination is pressed to open the graphical terminal? a unit of gene expression that allows controlled and coordinated expression of a set of proteins is called a(n) . Decide if each of the following is a minor arc, major arc, or semicircle by circling the correct answer . if an economy is in a recession, and the government increases its spending to bring the economy back to its long-run equilibrium, the long-run level of output will: A bar magnet is falling through a loop of wire with constant velocity. The north pole enters first. As the south poleleaves the loop of wire, the induced current (as viewed from above) will be in which direction?a) is counterclockwise.b) is along the length of the magnetc) is zerod) is clockwise which ecosystem is most resilient to change due to its high diversity? aarctic tundra bmountain meadow cstormwater pond damazon rainforest which issue must hospital administrators consider before the implementation of the primary care nursing model? select all that apply. one, some, or all responses may be correct. blue origins is a privately funded company started by amazon ceo, jeff bezos, that plans to offer space tourism. it uses a(n) strategy. if a sample has 50 atoms of 87 rb and 50 atoms of sr, how many half-lives has the sample gone through?