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3 years ago

Please help right away

Mathematics

1 answer:

STALIN [3.7K]3 years ago

4 0

Answer:

443 jelly boys

Step-by-step explanation:

the raius is 3.5, then square it is 12.25, multiplied by pie, 12.25*3.14159=38.4844775, then times 11.5 is 442.57149125‬, aproximately 443.

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If cos(θ) =-8/17 and sin(θ) is negative, then sin(θ) = ___ and tan(θ) =___.

Answer:

$Sin\theta = \frac{-15}{17}$

$Tan\theta = \frac{15}{8}$

Step-by-step explanation:

Given

cos(θ) =-8/17

Required

sin(θ) = __

tan(θ) =__

The first step is to determine the length of the third side

Given that

$cos(\theta) = \frac{Adj}{Hyp}$

Where Adj and Hyp represent Adjacent and Hypotenuse

$cos(\theta) = \frac{-8}{17}$

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Using Pythagoras

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The question says that sin(θ) is negative; This implies that θ is in the third quadrant and as such

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From trigonometry

$Sin\theta = \frac{Opp}{Hyp}$

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Also from trigonometry

$Tan\theta = Sin\theta / Cos\theta$

$Tan\theta = \frac{-15}{17} / \frac{-8}{17}$

$Tan\theta = \frac{-15}{17} * \frac{-17}{8}$

$Tan\theta = \frac{-15 * -17}{17 * 8}$

$Tan\theta = \frac{15 * 17}{17 * 8}$

$Tan\theta = \frac{15}{8}$

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