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2 years ago

Please help solve for A

Mathematics

1 answer:

slavikrds [6]2 years ago

7 0

Answer:

Step-by-step explanation:

$\frac{sin 82}{28} =\frac{sin A}{8} \\sin A=\frac{8}{28} \times sin 82\\A=sin^{-1} (\frac{2}{7} \times sin~82) \approx 16.4 ^\circ$

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Step-by-step explanation:

The complete question is

A film canister in the shape of a cylinder has a height of 8 centimeters and a volume of 32π cubic centimeters.

a. Write an equation for the volume of the film canister.

b. What is the radius of the film canister?

Part a) Write an equation for the volume of the film canister

we know that

The volume of a cylinder is equal to

$V=\pi r^{2} h$

where

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we have

$V=32\pi\ cm^3$

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substitute

$32\pi=\pi r^{2}(8)$ ----> equation for the volume of the film canister

Part b) What is the radius of the film canister?

we have

$32\pi=\pi r^{2}(8)$

$32\pi=8\pi r^{2}$

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