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alina1380 [7]
3 years ago
7

PLEASE HELP ME PRE CAL/TRIG

Mathematics
1 answer:
miss Akunina [59]3 years ago
3 0

Answer:

A) 60 Degrees

B) 550 Feet

C) 2.5 minutes

Step-by-step explanation:

a) So the wheel has completed one revolution in 10 minutes so lets first divide 100 secs with 10 minutes to calculate the the fraction of revolution

1 min = 60 secs

10 min = 600 secs

100/600 = 1/6

One complete revolution is 360 degrees and 1/6 of 360 degrees will be 60 degrees .

360/6 = 60°

b)  It takes 10 minutes to complete one revolution so if the person is on it for 7 minutes it would be 7/10 of a revolution . The ferris wheel has a diameter of 250 feet so the radius will be 125 feet because it is the half of the diameter and the circumference will be 250 π . To calculate the distance lets multiple the fraction of the revolution which is 7/10 into the circumference \frac{7}{10} * (250 pi) = 550 Feet.

C)It took 10 minutes to travel 250 π now we will use this relation to calculate 200 feet . lets suppose t is for time .

\frac{250pi}{10} =\frac{200}{t}.

After solving this equation as there is only one unknown which is "<em>t</em> "the answer will be 2.5 minutes.

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<img src="https://tex.z-dn.net/?f=32.5%20%3D%2030%20%2B%20%20%5Cfrac%7B20%20-%20%2840%20%2B%20x%29%7D%7B12%7D%20%20%5Ctimes%2010
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\frac{20 - (40 + x)}{12}  \times 10 = 32.5 - 30 = 2.5

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=  >  \frac{20 - (40 + x)}{12}  =  \frac{1}{4}

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