Question

HELP me with These questions 3

Answer 1

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

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

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

Explanation:

`(180)/(\pi) = (20)/(\theta)`

180(θ) = 20π

θ =
`\frac{20\pi} {180}`

θ =
`\frac{\pi} {9}`

A =
`(1)/(2)`r²θ

2470 =
`(1)/(2)`r²
`(\frac{\pi} {9})`

`(2470(2)(9))/(\pi)` = r²

14,152 = r²

118.96 = r

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Answer:
`(13\pi)/(36)`

Explanation:

`(\pi )/(180) = (\theta)/(65)`

`(65\pi)/(180)` = θ

`(13\pi)/(36)` = θ