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Otrada [13]
3 years ago
14

Need help please, thanks!

Mathematics
1 answer:
MakcuM [25]3 years ago
4 0
Given:
1 inch : 18 kilometers

Let us use the ratio and proportion method:

a:b = c:d where ad = bc

0.8 inches is <u>14.4 kilometers</u>

1 : 18 = 0.8 : x
x = 0.8 * 18
x = 14.4 km

1.4 inches is <u>25.2 kilometers</u>

1: 18 = 1.4 : x
x = 18 * 1.4
x = 25.2 km

2.1 inches is <u>37.8 kilometers</u>

1 : 18 = 2.1 : x
x = 18 * 2.1
x = 37.8 km

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Answer:

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Step-by-step explanation:

Given:

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First, let's look at the identities:

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The question asks to find sin(A - B); therefore, we need to use the difference identity.

Based on the given information (value and quadrant), we can draw reference triangles to find the simplified values of A and B.

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Plug these values into the difference identity formula.

sin(A - B) = sinAcosB - cosAsinB

sin(A - B) = (\frac{24}{25})(\frac{3}{5}) - (-\frac{4}{5})(\frac{7}{25})

Multiply.

sin(A - B) = (\frac{72}{125}) + (\frac{28}{125})

Add.

sin(A - B) = \frac{4}{5}

This is your answer.

Hope this helps!

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