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Vilka [71]
3 years ago
9

If 15 pies will serve 120 people, how many pies are needed for 152 people?

Mathematics
1 answer:
Alborosie3 years ago
7 0
15pies..................120p \\ x..........................152p \\ \\ x=\frac{15*152}{120} \\ \\ \boxed{x=19}
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The sum of the measures of a pair of alternate angles of two parallel lines is 210°. What are the measures of these two angles?
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\theta is in quadrant I, so \cos\theta>0.

x is in quadrant II, so \sin x>0.

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\sin^2\alpha+\cos^2\alpha=1

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\cos^2\dfrac\alpha2=\dfrac{1+\cos\alpha}2

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Because x is in quadrant II, we know that \dfrac x2 is in quadrant I. Specifically, we know \dfrac\pi2, so \dfrac\pi4. In this quadrant, we have \tan\dfrac x2>0, so

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