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Maksim231197 [3]
3 years ago
11

Please help me asap!!!!

Mathematics
1 answer:
inysia [295]3 years ago
4 0

Answer:

g=10 yards

Step-by-step explanation:

3/6=5/g

30=3g

g=10

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Hey can you please help me posted picture of question
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The normal monthly temperatures (°F) for Omaha, Nebraska, are recorded below.
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Answer

y = 28 \sin(\frac{\pi}{6} - \frac{2\pi}{3}) + 49

Step by Step Explanation

Given

See attachment for table

Required

Determine the sinusoidal function

The sinusoidal function is represented as:

y = A \sin(Bx + C) + D

Where

|A| = Amplitude

And it is calculated as:

A = \frac{1}{2}[Highest - Least]

From the table:

Highest = 77 and Least = 21

So:

A = \frac{1}{2}[77 - 21]

A = \frac{1}{2}[56]

A = 28

B is calculated as:

Period = \frac{2\pi}{B}

The period is 12 i.e. 12 months

So:

\frac{2\pi}{B} = 12

B = \frac{2\pi}{12}

B = \frac{\pi}{6}

C is calculated as:

\frac{C}{B} = -4

C = -4 * B

C = -4 * \frac{\pi}{6}

C = -2 * \frac{\pi}{3}

C = -\frac{2\pi}{3}

Lastly, D is calculated as:

D = Least + A

So:

D =21 + 28

D=49

So, the function is:

y = A \sin(Bx + C) + D

y = 28 \sin(\frac{\pi}{6} - \frac{2\pi}{3}) + 49

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