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strojnjashka [21]
3 years ago
5

Pls hurry I need the answer

Mathematics
1 answer:
katrin [286]3 years ago
3 0
<h3>Answer:  48 degrees</h3>

=============================================

Work Shown:

Apply the law of cosines

a^2 = b^2 + c^2 - 2*b*c*cos(A)

10^2 = 13^2 + 11^2 - 2*13*11*cos(A)

100 = 290 - 286*cos(A)

100-290 = -286*cos(A)

-190 = -286*cos(A)

190 = 286*cos(A)

286*cos(A) = 190

cos(A) = 190/286

A = arccos(190/286)

A = 48.368620460647

A = 48

Make sure your calculator is in degree mode.

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Given length of a lap = 5/8 mile.

Number of laps Carin ran = 3 1/2 laps.

3 1/2 can be read as 3 and a half. In improper fractions, it can be written as

(3*2+1)/2 = 7/2 laps.

In order to find the total distance covered in 3 1/2 or 7/2 laps, we need to multiply length of a lap by total number of laps ran.

Therefore, total distance covered = 7/2 × 5/8.

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Multiplying across, we get

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Let us convert 35/16 into mixed fractions.

On dividing 35 by 16, we get 2 quotient and 3 remainder.

So, the mixed fraction would be 2 3/16.

Therefore, she ran 2 3/16 miles in 3 1/2 laps.


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