The approximate measure of angle acb in right triangle abc in which the length of the hypotenuse, line segment ac is 25 cm is 53.1 degrees.
What is right angle triangle property?In a right angle triangle, ratio of the adjacent side to the hypotenuse side is equal to the cosine angle between them.
[tex]\cos\theta=\dfrac{b}{c}[/tex]
Here, (a) is the adjacent side, (c) is the hypotenuse side and θ is the angle made between them.
The right triangle abc is given, in which,
The length of the hypotenuse, line segment ac, in right triangle abc is 25 cm. The length of line segment bc is 15 cm.According to the right angle triangle property,
[tex]\cos(acb)=\dfrac{bc}{ac}\\\cos(acb)=\dfrac{15}{25}\\\angle acb=\cos^{-1}(0.6)\\\angle acb=53.1^o[/tex]
Hence, the approximate measure of angle acb in right triangle abc in which the length of the hypotenuse, line segment ac is 25 cm is 53.1 degrees.
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Answer:
53.1 degrees.
Step-by-step explanation:
Need help with this question.
Answer:
D
Step-by-step explanation:
Hope this Helps!
A _________ number differs from an integer because it has an integer part and a fractional part, even if the fractional part is 0
Answer:
Rational number
Step-by-step explanation:
Rational numbers are integers with fractional number for example 2/9 is a rational number and so is 4/5 ,6/10, 2.5 ,6 ,9 etc.
The coordinate plane represents a map of a town. Each unit represents 1 mile.
A post office is located at (4-2). The town is considering constructing a library exactly 4 miles north or south of the post office
Plot a point that represents one of the locations the town is considering for the library
Drawing Tools Click on a tool to begin dowing Delete Undo
Select
Retet
Point
Answer:
(4, 2) or (4, -6)
Step-by-step explanation:
Going 4 miles north would move the point (4, -2) 4 units up. When done so, the point (4, 2) is reached.
Going 4 miles south would move the point (4, -2) 4 units down. When done so, the point (4, -6) is reached.
A graph is shown below for further conformation.
hope this helps!
QUESTION 25 The area of the triangle shown is 54cm. The ratio of side to side is 3:4 What is the length of side in centimetres? A 6 B.9 C, 12 D. 15
Answer:
15
Step-by-step explanation:
Diagram would be helpful.... I am assuming this is a right triangle with legs ratio 3:4
heyyyy does anyone know the answer please help me!!!!!
Answer:
B) x² + 5x + 19
Step-by-step explanation:
(2x² + 7x + 10) - (x² + 2x - 9)
==> remove parenthesis and apply negative sign
2x² + 7x + 10 - x² - 2x + 9
==> combine like terms
x² + 5x + 19
the answer is B
Important Note:
Like terms are terms with the same variable and exponent. Eg. 5x³ and x³ are like terms because they both have a common variable x, and a power of 3.
Answer:
B) [tex]x^2+5x+19[/tex]
Step-by-step explanation:
[tex](2x^2+7x+10)-(x^2+2x-9)[/tex]
[tex]\textsf{Apply rule}\:(a)=a:[/tex]
[tex]=2x^2+7x+10-(x^2+2x-9)[/tex]
[tex]\textsf{Apply distributive law}\:-(a+b)=-a-b\:\textsf{ and }\:-(a-b)=-a+b:[/tex]
[tex]= 2x^2+7x+10-x^2-2x+9[/tex]
Group like terms:
[tex]= 2x^2-x^2+7x-2x+10+9[/tex]
Combine like terms:
[tex]= x^2+5x+19[/tex]
What is 1/4 plus 1/2 equal to in a fraction
Answer:
[tex] \frac{3}{4} [/tex]
Step-by-step explanation:
[tex] \frac{1}{4} + \frac{1}{2} \: \: lcm \: of \: 4 \: an d \: 2 \: is \: 4 \ \\ = \frac{1 + 2}{4} = \frac{3}{4} [/tex]
Describe any patterns observed between buffer capacities and the concentration of acid or base in each buffer solution.
The higher the concentration of species in solution, the higher the buffer capacity.
What is a buffer?A buffer is a substance that mitigates against changes in acidity and alkalinity. The buffer capacity has to do with the greatest amount of acid/base that the buffer can effectively neutralize without a significant change in the pH of the solution.
We must know that the higher the concentration of species in solution, the higher the buffer capacity of the solution for any given ratio of [HA] to [A⁻] concentration.
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Mason earns $17.65 per hour. He worked 40 hours last week. What was his straight time pay?
Answer:
$706
Step-by-step explanation:
$17.65 per hour
40 hours worked
17.65 · 40 = $706
Hope this helps and God bless!
what does the size or dimension of the matrix tells?
Answer:
The dimensions of a matrix are the number of rows by the number of columns.
Hey guys I need help with this no links and please explain your work
Answer:
x = 0.17
Step-by-step explanation:
Solve for x:
First, take the ln of both sides:
ln(1/16) = ln(8^(4x-2))
You can now bring down (4x-2) in front of the ln:
ln(1/16) = (4x-2)ln(8)
ln(1/16)/ln(8) = 4x-2
4x = ln(1/16)/ln(8) + 2
x = ln(1/16)/4ln(8) + 1/2
x = 0.17
Wanwan is 1.69 m tall and is flying a kite. She holds the string of the kite just above her head. The string is 80 m long and makes, x°, between 54° and 55° with the horizontal. Assuming that the string is taut, estimate (2 decimal places) the vertical height of the kite from the ground
Since, the kite is taut the vertical height of the kite from the ground is 66.82 meters
What is a right angle triangle?A right angle triangle has one of its angles as 90 degrees. The sides and angles can be found using trigonometric ratios.
Therefore, the string length is the hypotenuse side. The angle formed is between 54 degree to 55 degrees. Therefore,
sin 54.5 = opposite / hypotenuse
sin 54.5 = h / 80
cross multiply
h = 80 × sin 54.5
h = 80 × 0.81411551835
h = 65.1292414685
Therefore, the vertical height of the ground from the ground is as follows:
vertical height = 65. 13 + 1.69 = 66.82 meters
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What is halfway between 400,000 and 500,000?
Answer:
450,000
This is because 400,000 and 500,000 have no other numbers that could be the middle, so it has to be directly in-between both numbers.
__________________________________________________________
Questions related to this topic? Please ask me in the comments box.
Answer:
450,000
Step-by-step explanation:
500,000-400,000 = 100,000
100,000/2 = 50,000
400,000 + 50,000 = 450,000
Finding half of the value between 500,000 and 400,000 results in 50,000 and you can add that to the lesser value to get to the halfway point between the two numbers.
what the 51st term of -17, -25, -33
Answer:
The 51st term of the arithmetic sequence is - 417
Step-by-step explanation:
The formula for determining the nth term of an arithmetic sequence is expressed as Tn = a + d(n - 1)
Where a represents the first term of the sequence.
d represents the common difference.
n represents the number of terms in the sequence.
From the information given,
a = - 17
d = - 25 - - 17 = - 33 - - 25 = - 8
n = 51
We want to determine the value of the 51st term, T51. Therefore,
T51 = - 17 + - 8(51 - 1)
T51 = - 17 - 400
T51 = - 417
The graph of f(x) = x2 − 6x − 16 is shown. Which of the following describes all solutions for f(x)? a parabola passing through negative 2 comma zero, 0 comma negative 16, and 8 comma zero (−2, 0), (0, −16), (3, −25), (8, 0) (x, x2 − 6x − 16) for all real numbers (−2, 0), (8, 0) (x, y) for all real numbers
Let's find out zeros
x²-6x-16=0x²-8x+2x-16=0(x-8)(x+2)=0x=8 or -2x intercepts
(8,0) U (-2,0)In each rule, copy the chart and fill in the missing parts. (Please answer the last 4.)
Answer:
Step-by-step explanation: For x it's 2x+2, for y it's y/2-1, for 2x it's 4x+2, and for x+3 it's 2x+8
1. 2x+2
2. y/2-1
3. 4x+2
4. 2x+8
Hope this helps :)
Some red, white, and blue candies
were placed in a bowl. Some contain nuts,
and some do not. Suppose one of the candies were chosen randomly from all
the candies in the bowl.
probability?
Which of the following represents a conditional
O A. The probability that it does not contain any nuts, given that the
candy is red
B. The probability that it contains nuts and is white
O c. The probability that the candy is not red
• D. The probability that the candy is blue
Reason:
The keyword "given" is a universal indicator we're dealing with conditional probabilities. It sets up prior knowledge to reduce down the sample space.
The fact that we know the candy is red means that we only focus on the red candies (and shrinks down the set).
Conditional probability is represented by probability that the candy is blue.
What is Conditional Probability?One of the fundamental ideas in probability theory is the idea of the conditional probability formula. The conditional probability formula calculates the likelihood of an event, say B, given the occurrence of another event, say A.
By knowing the conditional probability of event B given that event A has occurred and the individual probabilities of events A and B, the Bayes theorem may be used to calculate the conditional likelihood of event A given that event B has occurred.
We have,
Some red, white, and blue candies were placed in a bowl.
Some contain nuts, and some do not.
Here we are only focusing on the red candy which shows we have reduce the sample space.
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How many different possible outcomes are there if you roll three six-sided dice in the shape of a cube?
Answer:
There are 36 outcomes. Of these, there are 2 that have both 1 and 3.
what is lim x -> 7 ... (see image)
Answer:
I think 1/6
Step-by-step explanation:
because 2-3/1-7= -1/-6 so (-)and(-) is a (+)
so 1/6
Which question cannot be answered by the solution to the equation 3x=27 ?
Elena read three times as many pages as Noah. She read 27 pages. How many pages did Noah read?
Elena read three times as many pages as Noah. She read 27 pages. How many pages did Noah read?
Lin has 27 stickers. She gives 3 stickers to each of her friends. With how many friends did Lin share her stickers?
Lin has 27 stickers. She gives 3 stickers to each of her friends. With how many friends did Lin share her stickers?
Diego paid $27 to have 3 pizzas delivered and $35 to have 4 pizzas delivered. What is the price of one pizza?
Diego paid $27 to have 3 pizzas delivered and $35 to have 4 pizzas delivered. What is the price of one pizza?
The coach splits a team of 27 students into 3 groups to practice skills. How many students are in each group?
The coach splits a team of 27 students into 3 groups to practice skills. How many students are in each group?
Answer:
C
Step-by-step explanation:
"Diego paid $27 to have 3 pizzas delivered and $35 to have 4 pizzas delivered. What is the price of one pizza? "
Hope this helps :)
Hal has 4/8 yard of string. How many 1/12 yard pieces of string can he cut from 3/4 yard?
Answer:
9
Step-by-step explanation:
3/4=0.75
1/12=0.0833333333
(3/4)/(1/12)=9
Write a story problem with a diver and the values -20 and +15.
Question 6 of 25
A bag contains 6 blue marbles, 5 yellow marbles, 3 white marbles, and 1 red
marble. What is the probability of not selecting a yellow marble?
O A.4/5
о B.3/5
c.2/3
OD. 1/3
Answer:
2/3
Step-by-step explanation:
Add all the number of marbles.Now you have 15 in total. 10 of them are not yellow. 10/15 simplified equals 2/3
-16x^2+150x=425 solve for x
Answer:
[tex]x_{1}=\frac{75}{16}-\frac{5\sqrt{47} }{16}i , x_{2}=\frac{75}{16}+\frac{5\sqrt{47} }{16}i[/tex]
Step-by-step explanation:
solve the quadratic figures 3x^2 + x - 5
To solve this quadratic equation we should first see if it is possible to factorise it into two seperate brakets. In this case there are no numbers which multiply to give -5 and add to give 3. Thus we should resort to using the quadratic formula which is used when equations cannot be solved by inspection. The quadratic formula is x=(-b+-(b2-4ac)1/2)/2a. Values for a,b and c can be lifted from the question. ax2+b-c=0 so in this question a=3 b=1 and c=-5. Inputing these into the equation will give two results.
The answers are
x=1.135 or x=-1.468
both of these answers make the original equation true
Answer: it would be 15
Step-by-step explanation:
if someone found three rocks and the first rock was 19.28 grams and the second rock was 25.3 grams the third rock had the mass of 46.3 grams how much greater was the mass of the third rock than combined mass of the other two rocks
How do I do this answer
Answer: there is nothing here
Step-by-step explanation:
Shelley is making strawberry popsicles to have by the pool on a hot summer day. She
combines the ingredients in a blender shaped like a square prism with a 4-inch by 4-inch
square base. When she is done blending, the strawberry popsicle mixture fills the blender to
a height of 5.8 inches. The popsicle molds she will fill are cylindrical with a radius of 0.6
inches and a height of 4.5 inches.
What is the maximum number of popsicle molds Shelley can fill completely with the popsicle
mixture?
in
Answer:
18
Step-by-step explanation:
Explanation is in photo
answer this and win 20 points
Answer:0.18%
Step-by-step explanation: It is simply but how you know that it is a percentage and you then have to add it as a decimal.
of the marbles in a bag 5 are red, 5 are green, and 3 are yellow. sandra will randomly choose one marble from the bag. the probability that sandra will choose a green marble from the bag?
Answer:
5/13
Step-by-step explanation:
Total amount of marbles: 5 + 5 + 3 = 13
5 out of 13 are green.
You can also turn this into a percentage but that number is not very clear and this answer should be fine if it doesn't state which form the answer has to be in.
Abbi is a years old. Abbi is 5 years older than cathy. Bobby is twice as old as Abbi. The total of their ages is less than 35. Solve the inequality
Answer:
Step-by-step explanation:
A+C+B>35
A = 7
B = 14
C = 2
A+B+C<35=
23<35