The missing measures, using the Pythagorean Theorem, are given as follows:
3. Leg x = 21.75.
4. Hypotenuse x = 13.85.
What is the Pythagorean Theorem?The Pythagorean Theorem states that length of the hypotenuse squared is equals to the sum of each of the sides of the triangle squared.
For item 3, we have that the leg x is missing, while another leg and the hypotenuse are given, meaning that the relation is of:
x² + 16² = 27²
Hence:
x² = 27² - 16²
[tex]x = \sqrt{27^2 - 16^2}[/tex]
x = 21.75.
For item 4, we are given two legs and want to find the hypotenuse, hence the relation is given as follows:
x² = 12.8² + 5.3²
[tex]x = \sqrt{12.8^2 + 5.3^2}[/tex]
x = 13.85.
As for item 5, there is not enough information to answer, but the procedure should be the same.
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A diameter of a circle has endpoints at (3, -8) and (-5, -2). Find the radius of the circle.
Answer: r = 5
Step-by-step explanation:
Using Pythagoras we can find the length of the diameter
d^2 = (3 - -5)^2 + (-8 - -2)^2
= 8^2 + (-6)^2
= 64 + 36
= 100
This means d = 10 and r = 5
Is algebra.
PLEASE HELP NO LINKS OR FILES.
I don't want links.
I don't want links.
I don't want links.
I don't want links.
Answer:
1) b 2) b
Step-by-step explanation:
1) Both expressions have (x+6). Rearrange them and you'll have one expression as (x+6) and the other as (5ab-4).
2) (4b - 7x)(a + b) factors to be 4ba + 8b - 7ax - 14x, which can be rearranged to 4ab - 7ax + 8b - 14x
Question 1
Answer: Choice B. (x+6)(5ab-4)---------------------
Explanation:
Note how we have (x+6) show up twice. What we can do is erase both copies to end up with 5ab-4. Then stick parenthesis around that to get (5ab-4). Effectively what is going on here is that we're pulling out the GCF (x+6).
Lastly, tack on the (x+6) we erased earlier to get the factorization of (5ab-4)(x+6). Because multiplication can be done in any order, this means it's the same as (x + 6)(5ab - 4)
We can use the distribution method, the box method, or FOIL to expand that factorization back out and help confirm we have the correct answer.
===========================================================
Question 2
Answer: Choice B. (4b - 7x)(a + 2)---------------------
Explanation:
We'll use the factor by grouping method.
Pair up the terms, then factor each grouping pair. From there, you'll follow the ideas mentioned in problem 1 to finish things off.
This is what the steps could look like:
4ab - 7ax + 8b - 14x
(4ab - 7ax) + (8b - 14x) ... pair up terms
a(4b - 7x) + 2(4b - 7x) ... factor out GCF from each group
(a + 2)(4b - 7x) ... use the trick done in problem 1
(4b - 7x)(a + 2) .... the order of multiplication doesn't matter
You can use the distribution method, FOIL method, or box method to help confirm the answer.
Which sequence of transformations maps quadrilateral ABCD onto quadrilateral EFGH?
A coordinate plane with three trapezoids. Trapezoid A B C D has coordinates A 1 comma 1, B 2 comma 3, C 4 comma 3, and D 5 comma 1. Trapezoid E F G H has coordinates E negative 5 comma negative 1, F negative 4 comma negative 3, G negative 2 comma negative 3, and H negative 1 comma negative 1.
Rotation of 180° about the origin, translation 6 units left
Reflection across the y-axis, translation 6 units left
Reflection across the x-axis, translation 6 units left
Translation 6 units left, reflection across the y-axis
Answer:it is c
Step-by-step explanation:
The sequence of transformations maps quadrilateral ABCD onto quadrilateral EFGH is Reflection across the x-axis, translation 6 units left
What is translation?Translation means the displacement of a figure or a shape from one place to another. In translation, a figure can move upward, downward, right, left or anywhere in the coordinate system. In translation, only the position of the object changes, its size remains the same.
What is reflection?A reflection is known as a flip. A reflection is a mirror image of the shape. An image will reflect through a line, known as the line of reflection. A figure is said to be a reflection of the other figure, then every point in a figure is at equidistant from each corresponding point in another figure.
According to the question
Quadrilateral ABCD
A(1,1) , B(2,3) , C(4,3) , D(5,1)
Quadrilateral EFGH
E(-5,-1) , F(-4,-3) , G(-2,-3) , H(-1,-1)
As we can that
Quadrilateral ABCD and EFGH have opposite sign coordinates
i.e Reflection across the x-axis,
and difference between x axis of Quadrilateral ABCD and EFGH is 6
|-5 - 1 | = 6 ( as distance is always +ve)
therefore,
translation 6 units left
Hence, the sequence of transformations maps quadrilateral ABCD onto quadrilateral EFGH is Reflection across the x-axis, translation 6 units left
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Solve for w
Reduce any fractions to lowest terms. Don't round your answer, and don't use mixed fractions
53w+13<56w+16
This is chemistry, but I asked two times when I picked chemistry as the subject, yet no one answered, so I am doing mathematics because this does include math.
Show ALL your WORK and make sure to LABLE all the numbers with the CORRECT UNITS; if you do, I will give you the brainliest:
A: A sample of sulfuric acid has a mass of 15.0 g. How many molecules are in this sample?
B: How many moles of sulfuric acid are present in 45 g of this sample?
C: How much would a .750 mole sample of Ammonium sulfate weigh?
D: What is the mass percent of hydrogen in this sample?
PS: Please do not spam or give the wrong answer; I will report the comment, the "answer', and your account if you do.
4382 round 1 significant figure
Answer:
4382 contains 4 significant figures, 4382 round to 1 significant figure is 4000.
Select all the expressions that are equivalent to 0.3(9n + 22).
–2.7n – 6.6
2.7n + 6.6
2.7 + 6.6n
6.6 + 2.7n
6.6 – 2.7n
Answer:
2.7n + 6.6 or 6.6 + 2.7n
Step-by-step explanation:
Algebraic ExpressionsAlgebraic Expressions are just like Numerical Expressions but instead of numbers, alphabets are used, these alphabets can also be used as variables. (BODMAS rule applies to Algebraic Expressions as well.)
Eg. 45x + 31x(2) = 45x + 62x = 107x
SolutionGiven from the question:
[tex]0.3(9n + 22) \\ = 2.7n + 6.6 \: or \: 6.6 + 2.7n[/tex]
Andre saves up the same amount of money each week the table shows the amount he saves in different number of weeeks how much money does Andre save in 4p weeks
The amount of money saved by Andre in 40 weeks is $1280.
What is equation modelling?Equation modelling is the process of writing a mathematical verbal expression in the form of a mathematical expression for correct analysis of the given problem.
Given is Andre saves up the same amount of money each week.
We can write the equation, equating the total amount of money saved and the number of weeks as follows. Assume the equation to be -
y = mx + c
Then -
m = (288 - 224)/(9 - 7)
m = 64/2
m = 32
Now -
y = 32x + c
For the point (7, 224), we can write -
224 = 32 x 7 + c
c = 0
For {x} = 48, we can write the amount of money saved as -
y = 32 x 40
y = 1280
Therefore, the amount of money saved by Andre in 40 weeks is $1280.
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Solve the following inequality using both the graphical and algebraic approach: 0.5 x + 3 greater-than-or-equal-to 2 x minus 1.5 Graph A On a coordinate plane, a line goes through (0, 2) and (4, 4). Another line goes through (0, 0) and (2, 6). The lines intersect at (1, 1.5). Graph B On a coordinate plane, a line goes through (0, 3) and (4, 4). Another line goes through (1, 0) and (4, 6). The lines intersect at (3, 4). a. x greater-than-or-equal-to 3 Graph A b. x less-than-or-equal-to 3 Graph A c. x greater-than-or-equal-to 3 Graph B d. x less-than-or-equal-to 3 Graph B
Answer:
d. x les-than-or-equal-to 3 Graph B
Graph B expressed as follows; The graph on the coordinate plane, a line goes through (0, 3) and (4, 5). Another line goes through (1, 0.5), and (4, 6.5). The lines intersect at (3, 4.5)
Step-by-step explanation:
The given inequality is expressed as follows;
0.5·x + 3 ≥ 2·x - 1.5
Let y₁ = 0.5·x + 3, and y₂ = 2·x - 1.5, we get;
For x = -1, 0, 1, 2, 3, 4, 5, 6
y₁ = 2.5, 3, 3.5, 4, 4.5, 5, 5.5, 6
y₂ = -3.5, -1.5, 0.5, 2.5, 4.5, 6.5, 8.5, 10.5
From the given data, the lines intersect at (3, 4.5)
The graph on the coordinate plane, a line goes through (0, 3) and (4, 5). Another line goes through (1, 0.5), and (4, 6.5). The lines intersect at (3, 4.5)
Please find attached the required inequality created with MS Excel
Therefore, we have;
3 + 1.5 ≥ 2·x - 0.5·x
4.5 ≥ 1.5·x
∴ 3 ≥ x
x ≤ 3
Therefore, with (typographical) correction, the best option is x les-than-or-equal-to 3 Graph B
Answer:
D
Step-by-step explanation:just took the test
prove that 1 + sinx = sinx(1+cscx).
Answer:
Below
Step-by-step explanation:
csc x = 1/sinx
so sinx ( 1 + cscx )
= sinx ( 1 + 1/sinx)
= sinx + sinx /sinx
= sin x + 1 Done .
A bag of sugar weighs 3.45 kg What is the weight of three such bags (in kilograms)?
Answer:
10.35 kg
Step-by-step explanation:
Given a bag of sugar weighs 3.45 kg, you want the weight of 3 bags.
WeightThe weight of 3 bags will be three times as much as the weight of one bag:
3 × 3.45 kg = 10.35 kg
Three such bags weigh 10.35 kg.
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(Quiz question 9) please only correct answers no links!
Answer: 43.2°
In the given diagram, we are given the hypotenuse and opposite side from the angle x. This means that we need to use the sine ratio. When finding the angle in this triangle, we need to use [tex]sine^{-1}[/tex], not just sine. (This applies for other problems that require you to solve for the angle. The equation should be [tex]sine^{-1}(\frac{5}{7.3} )[/tex]. Calculate the equation with your calculator to get 43.2
Write a ratio of the following in three ways.
Write your answers on the blanks.
1) 6 Weeks to 12 days_____
2) 10 decimeters to 10 centimeters_______
3) 4 days to 36 hours___
4) 4 months to 8 weeks___
5) 30 seconds to 6 minutes__
6) 24 girls to 16 boys___
7) 12 mangoes to 36 fruits__
8) 2. Years to 36 months__
9) 45 points to 9 games__
10) 468 students for 9 classrooms___
Ratios express the relationship between two or more quantities, they can be expressed in different forms such as 6:12, 42:12 and 3:1, 10:10, 100:10, and 10:1, 24:36 and 2:3.
1. 6 Weeks to 12 days:
6:12 (using the same unit of measurement, weeks)42:12 (converting weeks to days, 6 weeks x 7 days/week = 42 days)3:1 (simplifying the ratio to its simplest form)2. 10 decimeters to 10 centimetres:
10:10 (using the same unit of measurement, decimeters)100:10 (converting decimeters to centimeters, 10 decimeters x 10 centimeters/decimeter = 100 centimeters)10:1 (simplifying the ratio to its simplest form)3. 4 days to 36 hours:
4:36 (using the same unit of measurement, days)24:36 (converting days to hours, 4 days x 24 hours/day = 96 hours)2:3 (simplifying the ratio to its simplest form)4. 4 months to 8 weeks:
4:8 (using the same unit of measurement, months)16:8 (converting months to weeks, 4 months x 4 weeks/month = 16 weeks)2:1 (simplifying the ratio to its simplest form)5. 30 seconds to 6 minutes:
30:6 (using the same unit of measurement, seconds)180:6 (converting seconds to minutes, 30 seconds x 6 minutes/60 seconds = 0.5 minutes)30:1 (simplifying the ratio to its simplest form)6. 24 girls to 16 boys:
24:16 (using the same unit of measurement, girls and boys)3:2 (simplifying the ratio to its simplest form)7. 12 mangoes to 36 fruits:
12:36 (using the same unit of measurement, mangoes and fruits)1:3 (simplifying the ratio to its simplest form)8. 2 years to 36 months:
2:36 (using the same unit of measurement, years and months)6:36 (converting years to months, 2 years x 12 months/year = 24 months)1:6 (simplifying the ratio to its simplest form)9. 45 points to 9 games:
45:9 (using the same unit of measurement, points and games)5:1 (simplifying the ratio to its simplest form)10. 468 students for 9 classrooms:
468:9 (using the same unit of measurement, students and classrooms)52:1 (simplifying the ratio to its simplest form)To learn more about the ratio, visit:
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What is the equation of the line that passes through the coordinates (-2, 11) and (1, -34)?
Answer:
y = 15x - 19
Step-by-step explanation:
In order to pass through both (-2, 11) and (1, -34), then the equation must be y = 15x - 19. Hope this helps!
helpp. pleasee ill give brainliest
PLEASE HELP I REALLY NEED UR HELP
Answer:
10
Step-by-step explanation:
divide 12.5 by 5 to get the ratio of enlargement, then multiply 2 by that ratio to get x
if you have any questions, leave them in the comments and i will try to answer them, if this helped, pls give brainliest
what is the slope?
if possible can you explain?
Answer:
[tex]m = \frac{4}{5} [/tex]
Step-by-step explanation:
The slope of a graph is also known as its gradient, which is the steepness of the graph.
If we are given two points on the line, we can find the slope by taking rise/ run, which is the ratio of the change in y-coordinate against the change in the x-coordinate. This can also be written as a formula:
[tex]\boxed{slope = \frac{y1 - y2}{x1 - x2} }[/tex]
☆ (x₁, y₁) is the first coordinate and (x₂, y₂) is the second coordinate
In this question, we are given the equation of the line. This equation is already in the slope-intercept form (y= mx +c) since the coefficient of y is 1 and all the other terms are on the other side of the equal sign. In the slope-intercept form, m is the slope while c is the y-intercept.
m= ⅘ since the coefficient of x is ⅘ in the given equation (when the equation is in the slope-intercept form).
The number of dragons of Westeros rose by a shocking 15% this year if there were 300 dragons this year how many are there this year
If the number of dragons in Westeros rose by a shocking 15% this year if there were 300 dragons in the previous year, then there will be a total of 345 dragons in this year.
The percentage increase in the number of dragons in Westeros rose = 15%
The total number of dragons in Westeros rose in previous year = 300
So, for calculating the total number of dragons in Westeros rose in this year we will first find the value of 15% of 300 and then add it to 300.
So, finding the value of 15% of 300
As we know, for removing the percentage sign we will divide the given number by 100
So, the value of 15% of 100 = (15/100)*300 = 45
So, the value of the total number of dragons in Westeros rose in this year will be 300+45 = 345
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The correct question may be like:
If the number of dragons in Westeros rose by a shocking 15% this year if there were 300 dragons in the previous year, then what will be a total of dragons in this year?
Angle of depression: A person standing on the top of the Petronas Tower I looks out
across the city and pinpoints her residence. If the angle of depression from the person's
eyes to her home is 5°, how far away (in feet and in miles) is the residence?
If a coin is tossed 4 times, the odds of it coming up either heads every time or tails every time are 1:7. What is the probability the coin comes up all heads or all tails after 4 tosses?
The probability the coin comes up all heads or all tails after 4 tosses is 1/8
How to determine the probability from the odds?The value of the odds is given as
Odds = 1 : 7
Represent the odds as a fraction
So, we have the following representation
Odds = 1/7
To convert the odds to probability, we make use of the following equation
Probability = Odds/(1 + Odds)
Substitute the known values in the above equation, so, we have the following representation
Probability = (1/7)/(1/7 + 1)
Evaluate the sum
Probability = (1/7)/(8/7)
Evaluate the quotient
Probability = 1/8
Hence, the probability is 1/8
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Plot the data in a scatter plot
A scatter plot which represents relationship between the time (in hours) and height (in meters) has been plotted in the image attached below.
How to construct and plot the data in a scatter plot?In this scenario, the time (in hours) would be plotted on the x-axis (x-coordinate) of the scatter plot while the height (in meters) would be plotted on the y-axis (y-coordinate) of the scatter plot through the use of Microsoft Excel.
From the scatter plot (see attachment) which models the relationship between the time (in hours) and height (in meters), a linear equation for the line of best fit is given by
y = -0.29x + 0.52
In conclusion, we can reasonably infer and logically deduce that the scatter plot indicates an inverse relationship between the time (in hours) and height (in meters).
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what is the half of 8
Answer:
4
Step-by-step explanation:
Half means 1/2
Half of 8
= 1/2 x 8
= 8/2
= 4
Hence, half of 8 is 4.
Answer: 4
Step-by-step explanation:4 + 4 is 8 half of 4 is eight.
What is the nth term rule of the linear sequence below?
-9,-5,-1,3,7,.....
what is the TN=
explain to me, please?
Thanks
Answer:
4n -13
Step-by-step explanation:
notice that the difference between the adjacent terms is 4.
nth term is given by:
nth term = first term + (n-1) × difference -n is any number
= -9 + (n-1) × 4
= -9 + 4n -4
= 4n -13
What is the slope of the line that passes through the points (-8, 12) and
(4, 6)?
Answer:
- 1/2
Step-by-step explanation:
y2 - y1 / x2 - x1
6 - 12 / 4 - (-8)
-6 / 12
= -1/2
Find the area of the figure shown.
6
8
20
The area of the figure given is 49 square feet's.
What is area?The area is a two - dimensional region enclosed by a single - dimensional entity. We can write area as -∫dA = ∫∫F(x, y) dx dy
A = ∫∫F(x, y) dx dy
Given is a figure as shown in the image attached.
We can write the area of the figure as -
A = A{T} + A{R}
A = (4 x 10) + (1/2 x 6 x 3)
A = 40 + 9
A = 49 square feet's
Therefore, the area of the figure given is 49 square feet's.
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The expression (x^3)(x^-17) is equivalent to x^n".
What is the value of n?
Answer:
You add the powers, so (X^3)(x^-17)=x^n n= (3+-17) Meaning n=-14
Step-by-step explanation:
The KOT club has 5 pledges. They will send at least 2 and no more than 4 pledges to work at Goodwill on Helping-Out Day. In how many ways can this be done?
Answer:
The KOT club has 5 pledges and can send between 2 and 4 pledges to work at Goodwill on Helping-Out Day. This can be done in 10 different ways
Step-by-step explanation:
help me find the answer in cm
please would get rewared brainly but it has to be the correct answer HELP!!!
Answer:
40000
hope this helped
Step-by-step explanation:
Answer:
40000
Step-by-step explanation:
You are trying to hack into your friend’s phone. The password is four digits long and each number can be a digit from 0 to 9. If the numbers can repeat, how many possible combinations are there?
Answer:
10,000
Step-by-step explanation:
10 x 10 x 10 x 10
Answer:
81 times its common sense but you dont have nun.
What is the surface area of this composite figure?
Answer:
294 cm²Step-by-step explanation:
[tex]6\cdot6+5\cdot(6\cdot7)+6\cdot4+2\cdot(\frac12\cdot6\cdot4)=36+210+24+24=294\,cm^2[/tex]