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Gnoma [55]
3 years ago
10

katie's pie place sells qn average of 6 pieces of pie per hour.last week katie's shop was open 37.5 hours.How many piece of pie

did she sell last week? show your work
Mathematics
1 answer:
Artyom0805 [142]3 years ago
8 0
She sold 225 pieces of pie last week.
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Simplify using trigonometric identities<br> 2sinθ - sin2θ cosθ
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Double angle identity for sine:

\sin(2x) = 2 \sin(x) \cos(x)

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Factorize the left side.

2 \sin(\theta) - 2 \sin(\theta) \cos^2(\theta) = 2 \sin(\theta) \left(1 - \cos^2(\theta)\right)

Pythagorean identity:

\cos^2(x) + \sin^2(x) = 1

\implies 2 \sin(\theta) \left(1 - \cos^2(\theta)\right) = 2 \sin^3(\theta)

so that

\boxed{2 \sin(\theta) - \sin(2\theta) \cos(\theta) = 2 \sin^3(\theta)}

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Answer:

79 inches

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2 years ago
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Step-by-step explanation:

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This gives:

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Difference = -30 +110

Difference = 80

<em>Hence, the difference is $80 billion</em>

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