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2 years ago

5

Please help!!! need an answer asap!!!!

1 answer:

expeople1 [14]2 years ago

7 0

Hi there!

Let's start with finding the measurement of angle A. Looking at the image, we know that the larger, outer triangle is equilateral. Therefore, we know that the inner, smaller triangle is isosceles. So, to find the measure of angle A, we need to solve this here equation:

180 = 90 + 2A
90 = 2A
A = 45

Now that we know that angle A is equal to 45 degrees, we can take the total value of the angle of the equilateral triangle and subtract the value of angle A from it to find the value of angle B.

B = 60 - 45
B = 15 degrees

Hope this helps!! :)
If there's anything else that I can help you with, please let me know!

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givi [52]

Answer:

Part a) 119 cups

Part b) 30 cups

Step-by-step explanation:

Part a)

step 1

Find the volume of the conical cup with a diameter of 4 in. and a height of 8 in

The volume of the cone (cup) is equal to

$V=\frac{1}{3}\pi r^{2}h$

we have

$r=4/2=2\ in$ ----> the radius is half the diameter

$h=8\ in$

assume

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substitute

$V=\frac{1}{3}(3.14)(2^{2})8=33.49\ in^3$

step 2

Find out how many cups of water must Carissa scoop out of the sink

Divide the volume of the sink by the volume of the cup

so

$\frac{4,000}{33.49}= 119\ cups$

Part b)

step 1

Find the volume of the conical cup with a diameter of 8 in. and a height of 8 in

The volume of the cone (cup) is equal to

$V=\frac{1}{3}\pi r^{2}h$

we have

$r=8/2=4\ in$ ----> the radius is half the diameter

$h=8\ in$

assume

$\pi =3.14$

substitute

$V=\frac{1}{3}(3.14)(4^{2})8=133.97\ in^3$

step 2

Find out how many cups of water must Carissa scoop out of the sink

Divide the volume of the sink by the volume of the cup

so

$\frac{4,000}{133.97}= 30\ cups$

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Step-by-step explanation:

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sertanlavr [38]

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3 years ago

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Answer:

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Step-by-step explanation:

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