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2 years ago

Sophie earns $12.80 per hour babysitting. She has to repay a loan to her parents in the amount of $100. After repaying the loan,

Mathematics

1 answer:

Lemur [1.5K]2 years ago

4 0

She would have to work 11 hours to get enough money to buy the sneakers

But if you want the hours included for the time she needs to work to pay off the loan she would have to work 8 hours, so all together 19 hours.

Hope this helps!!

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A lot of math is about matching patterns. Here, the two patterns we want to match are different versions of the same Law of Cosines relation:

a² = b² +c² -2bc·cos(A)
k² = 31² +53² -2·31·53·cos(37°)

<h3>Comparison</h3>

Comparing the two equations, we note these correspondences:

a = k
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Comparing these values to the given information, we see that ...

KN = c = 53 . . . . . . . . . . matching values 53
NM = a = k . . . . . . . . . . . matching values k
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Abby apparently knew that ∠K = 37° and n = 31.

<em>Additional comment</em>

Side and angle naming for the Law of Sines and the Law of Cosines are as follows. The vertices of the triangle are labeled with single upper-case letters. The side opposite is labeled with the same lower-case letter, or with the two vertices at either end.

Vertex and angle K are opposite side k, also called side NM in this triangle.

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