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Liula [17]
4 years ago
10

A car travels at an average speed of 48 miles per hour. how long does it take to travel 204 miles?

Mathematics
1 answer:
Strike441 [17]4 years ago
7 0
A car travels at an average speed of 48 miles per hour. how long does it take to travel 204 miles?It takes it 4.25 hours

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

Explanation:

See the diagram below. The two given angles B = 105 and C = 20 are used to help find angle A

A+B+C = 180

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A = 180-125

A = 55

Then we use the law of sines to find the side length c

sin(A)/a = sin(C)/c

sin(55)/15 = sin(20)/c

c*sin(55) = 15*sin(20) ... cross multiply

c = 15*sin(20)/sin(55)  .... divided both sides by sin(55)

c = 6.26294249724791 .... value is approximate

c = 6.3 ....... rounding to one decimal place

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