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GaryK [48]
2 years ago
12

HELP The minute hand of a clock is 5 inches long. to the the nearest tenth of an inch, how far does the tip of the minute hand t

ravel as the tie progress from 12:00 to 12:35?
Round answer to nearest whole number.
It travels ____ inches
Mathematics
1 answer:
faltersainse [42]2 years ago
3 0

Answer:

18.326 inches

Step-by-step explanation:

The question is basically asking us to find the arc length that the tip of the minute hand travels. The formula for an arc length is S=θr. So we need th find the angle that the minute hand passes through. We know that there is 360 degrees in a cicle and there is 12 stops around a clock, so divide 360 by 12 to find the degrees the minute hand travels every 5 minutes. We ge that every 5 minutes the hand travels 30 degrees, and 35 minutes is 7*5 so we multiple 30*7 to find the angular displacement, and we get 210 degrees. This equation uses radians though so we have to convert, which can be done doing \frac{210}{1} *\frac{\pi }{180}, and we ge that θ is \frac{7\pi }{6} so (\frac{7\pi }{6})(5)= 18.326 inches

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d + q = 250

Subtract 'q' to both sides:

d = -q + 250

Plug in '-q + 250' for 'd' in the 1st equation:

0.10(-q + 250) + 0.25q = 39.25

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Subtract 95 to both sides:

d = 155

So there are 95 quarters and 155 dimes.
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