2 years ago

Find the surface area of the prism.

Mathematics

1 answer:

Fed [463]2 years ago

5 0

What do you mean I need to see the prism ??

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Given that cos(theta) = 8/17 and that theta lies in Quadrant IV, what is the exact value of sin 2(theta)?

Deffense [45]

Answer: $-\frac{240}{289}$

=========================================================

Explanation:

Use the pythagorean trig identity $\sin^2(\theta)+\cos^2(\theta) = 1$ and plug in the fact that $\cos(\theta) = \frac{8}{17}\\\\$

Isolating sine leads to $\sin(\theta) = -\frac{15}{17}\\\\$ . I'm skipping the steps here, but let me know if you need to see them.

The result is negative because we're in quadrant 4, when y < 0 so it's when sine is negative.

Therefore,

$\sin(2\theta) = 2\sin(\theta)\cos(\theta)\\\\\sin(2\theta) = 2*\left(-\frac{15}{17}\right)*\left(\frac{8}{17}\right)\\\\\sin(2\theta) = -\frac{240}{289}\\\\$

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I have four factors 3 of my factors are 1,2,and 6 what is my fourth factor

Naddik [55]

12
2 multiplied by 6 is 12 and so 1 multiplied by something is 12
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If your teacher tells you to questions 38 through 51 in your math book for homework ,how many questions is that ?

eduard

That would be 13 questions!

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A rectangle has an area of 616 m² and a width of 22m. What is its length?

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Answer:

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w Width

A Area

616

m²

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A=wl

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l=A

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