All categories

2 years ago

Kayla drew a right triangle. Which could be the lengths of the triangle's sides?

Mathematics

1 answer:

BartSMP [9]2 years ago

7 0

Answer:

A triangle has side lengths 10 feet, V205 feet, and V105 feet

Step-by-step explanation:

You might be interested in

You have been asked to analyze the popcorn recipes of three different local theatres in order to figure out which theatre has th

svlad2 [7]

Answer: The ratio value of oil to popcorn kernels for theatre C is 6 / 32 = 3 / 16.

Step-by-step explanation: Given that the manager of Theatre A says that they usually go through about 15 cups of popcorn kernels and about 5 cups of oil each weeknight.

Then, the ratio value of oil to popcorn kernels for theatre A is 5 / 15 = 1 / 5.

Given that the manager of Theatre B says that they order 18 cups of oil and 72 cups of popcorn kernels each week.

Then, the ratio value of oil to popcorn kernels for theatre B is 18 / 72 = 1 / 4.

Given that the manager of Theatre C says that their concessions use 6 cups of oil and 32 cups of popcorn kernels on a busy Saturday.

Then, the ratio value of oil to popcorn kernels for theatre C is 6 / 32 = 3 / 16.

3 0

2 years ago

Is this a liner equation ,the price of a loaf of bread increases by .25 each week

alexgriva [62]

i think its not because it should increase so it would go diagonal

5 0

3 years ago

Find the slope of the line that passes through (10,3) and (3,12).

Gnoma [55]

Answer:

-9/7

Step-by-step explanation:

$slope \: of \: line \\ \\ = \frac{12 - 3}{3 - 10} \\ \\ = \frac{9}{ - 7} \\ \\ = - \frac{9}{7}$

5 0

2 years ago

I turned it in and it says we got one wrong(out of those blanks). I've checked over it several times but I can't figure out whic

Colt1911 [192]

Answer:

Try as percentages so

7) 37.5%

8) 50%

9) 12.5%

10) 62.5%

11) 87.5%

12) 50%

13) 62.5%

14) 37.5%

15) 100%

Step-by-step explanation:

8 0

3 years ago

For positive acute angles A and B, it is known that tan A = 35/12 and sin B = 20/29. Find the value of sin(A - B ) in the simple

almond37 [142]

Answer:

$\displaystyle \sin(A-B)=\frac{495}{1073}$

Step-by-step explanation:

We are given that:

$\displaystyle \tan(A)=\frac{35}{12}\text{ and } \sin(B)=\frac{20}{29}$

Where both A and B are positive acute angles.

And we want to find he value of sin(A-B).

Using the first ratio, we can conclude that the opposite side is 35 and the adjacent side is 12.

Then by the Pythagorean Theorem, the hypotenuse is:

$h = \sqrt{35^2 + 12^2} =37$

Using the second ratio, we can likewise conclude that the opposite side is 20 and the hypotenuse is 29.

Then by the Pythagorean Theorem, the adjacent is:

$a=\sqrt{29^2-20^2}=21$

Therefore, we can conclude that:

So, for A, the adjacent is 12, opposite is 35, and the hypotenuse is 37.

For B, the adjacent is 21, opposite is 20, and the hypotenuse is 29.

We can rewrite sin(A-B) as:

$\sin(A-B)=\sin(A)\cos(B)-\cos(A)\sin(B)$

Using the above conclusions, this yields: (Note that since A and B are positive acute angles, all resulting ratios will be positive.)

$\displaystyle \sin(A-B)=\Big(\frac{35}{37}\Big)\Big(\frac{21}{29}\Big)-\Big(\frac{12}{37}\Big)\Big(\frac{20}{29}\Big)$

Evaluate:

$\displaystyle \sin(A-B)=\frac{735-240}{1073}=\frac{495}{1073}$

6 0

2 years ago