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Degger [83]
3 years ago
14

What is the volume of the prism

Mathematics
2 answers:
kati45 [8]3 years ago
7 0
180 is your answer good luck
bazaltina [42]3 years ago
5 0
The answer is 180, have a great rest of your day and great luck to you :)
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Answer:

\frac{(x-2)^2}{9}+\frac{(y-1)^2}{16}=1

Step-by-step explanation:

x=2-3\cos(t)

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Let's solve for \cos(t) in the first equation and then solve for \sin(t) in the second equation.

I will then use the following identity to get right of the parameter, t:

\cos^2(t)+\sin^2(t)=1 (Pythagorean Identity).

Let's begin with x=2-3\cos(t).

Subtract 2 on both sides:

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Divide both sides by -3:

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Subtract 1 on both sides:

y-1=4\sin(t)

Divide both sides by 4:

\frac{y-1}{4}=\sin(t)

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\cos^2(t)+\sin^2(t)=1

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\frac{(x-2)^2}{(-3)^2}+\frac{(y-1)^2}{4^2}=1

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