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DanielleElmas [232]

3 years ago

14

Find x and y. please help

1 answer:

anygoal [31]3 years ago

8 0

Answer:

$x = 4 \sqrt{2}$

$y = 4 \sqrt{6}$

Step-by-step explanation:

$\sin 45 \degree = \frac{x}{8} \\ \\ x = 8 \sin 45 \degree \\ \\ x = 8 \times \frac{1}{ \sqrt{2} } \\ \\ x = \frac{8 \sqrt{2} }{2} \\ \\ x = 4 \sqrt{2} \\ \\ \\ \tan 30 \degree = \frac{x}{y} \\ \\ \frac{1}{ \sqrt{3} } = \frac{4 \sqrt{2} }{y} \\ \\ y = 4 \sqrt{6}$

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SSSSS [86.1K]

Answer:

Part 4) $r=84\ units$

Part 9) $sin(\theta)=-\frac{\sqrt{5}}{3}$

Part 10) $sin(\theta)=-\frac{9\sqrt{202}}{202}$

Step-by-step explanation:

Part 4) A circle has an arc of length 56pi that is intercepted by a central angle of 120 degrees. What is the radius of the circle?

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solve for r

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Part 9) Given cos(∅)=-2/3 and ∅ lies in Quadrant III. Find the exact value of sin(∅) in simplified form

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we have

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substitute the given value

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square root both sides

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we know that

If ∅ lies in Quadrant III

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see the attached figure to better understand the problem

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then

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therefore

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