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2 years ago

12

Find the volume of the prism. 4.8 m 10 m 7.2 m

2 answers:

kondaur [170]2 years ago

3 0

Answer:

The volume of the prism is 22m

AleksAgata [21]2 years ago

3 0

Answer:

172.8 m^3

Step-by-step explanation:

Volume for triangualr prism formula:

1/2 • length • width • height

Use formula with given dimensions:

1/2 • 7.2 m • 10 m • 4.8 m = 172.8

Volume is measured in cubic meters

(meters in this situation)

FINAL ANSWER:

172.8 cubic meters

Hope this helps!

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3 years ago

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kumpel [21]

Answer:

Part 1) $sin(\theta)=\frac{2}{3}$

Par 2) $cos(\theta)=-\frac{\sqrt{5}}{3}$

Part 3) $tan(\theta)=-\frac{2\sqrt{5}}{5}$

Step-by-step explanation:

step 1

Find the $sin(\theta)$

we have

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Remember that

$csc(\theta)=\frac{1}{sin(\theta)}$

therefore

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step 2

Find the $cos(\theta)$

we know that

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we have

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substitute

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$cos(\theta)=\pm\frac{\sqrt{5}}{3}$

we have that

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so

$cos(\theta)=-\frac{\sqrt{5}}{3}$

step 3

Find the $tan(\theta)$

we know that

$tan(\theta)=\frac{sin(\theta)}{cos(\theta)}$

we have

$sin(\theta)=\frac{2}{3}$

$cos(\theta)=-\frac{\sqrt{5}}{3}$

substitute

$tan(\theta)=\frac{2}{3}:-\frac{\sqrt{5}}{3}=-\frac{2}{\sqrt{5}}$

Simplify

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