[calculus] Someone help! Show steps please!!
1 answer:
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Answer:
In 30 minutes:
The minute hand moves a distance of 25.13 inches
In 20 minutes:
The minute hand moves a distance of 16.76 inches
Step-by-step explanation:
When 60 minutes are completed, the minute hand of the relog makes a complete revolution. The distance s that the minute hand travels when making a complete revolution is:
Where r is the radius of the circumference, and in this case, the radius of the minute hand.
So:
s = 50.27 inches.
In 30 minutes (which is half of 60) the minute hand covers only half a revolution. Then the distance traveled in 30 minutes is inches
In 20 minutes (which is one third of 60) the minute hand only travels a third of a complete revolution. Then the distance traveled in 20 minutes is inches