Question

HELP me with These questions 3

Answer 1

Answer: $\frac{23\pi} {12}$, $\frac{-25\pi} {12}$

Step-by-step explanation:

2π = $\frac{24\pi} {12}$

positive: $\frac{-\pi} {12} + \frac{24\pi} {12}$ = $\frac{23\pi} {12}$

negative: $\frac{-\pi} {12} - \frac{24\pi} {12}$ = $\frac{-25\pi} {12}$

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Answer: A

Step-by-step explanation:

Quadrant I: 0 - $\frac{\pi} {2}$

                = 0 - $\frac{2\pi} {4}$

Quadrant II: $\frac{\pi} {2}$ - ${\pi}$

                = $\frac{2\pi} {4}$ - $\frac{4\pi} {4}$

Quadrant III: ${\pi}$ - $\frac{3\pi} {2}$

                = $\frac{4\pi} {4}$ - $\frac{6\pi} {4}$

Quadrant IV: $\frac{3\pi} {2}$ - $2\pi$

                = $\frac{6\pi} {4}$ - $\frac{8\pi} {4}$

$\frac{9\pi} {4}$ - $\frac{8\pi} {4}$ = $\frac{\pi} {4}$ which is in Quadrant I after 1 rotation.

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Answer: 118.96 ft

Step-by-step explanation:

$\frac{180}{\pi} = \frac{20}{\theta}$

180(θ) = 20π

      θ = $\frac{20\pi} {180}$

      θ = $\frac{\pi} {9}$

A = $\frac{1}{2}$r²θ

2470 = $\frac{1}{2}$r²$(\frac{\pi} {9})$

$\frac{2470(2)(9)}{\pi}$ = r²

14,152 = r²

118.96 = r

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Answer: $\frac{13\pi}{36}$

Step-by-step explanation:

$\frac{\pi }{180} = \frac{\theta}{65}$

$\frac{65\pi}{180}$ = θ

$\frac{13\pi}{36}$ = θ