what kind of angle is made by the hands of a clock at these times: (a)7:25 (b)10:15 (c)9:25
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Answer:
07:25
Step-by-step explanation:
Well lets first start by measuring the hour (from 12 to 7 there is an angle of 210 degrees, beacause every 5 minutes is 30 degrees)
Then the angle of the minutes is 30 degrees × 5 = 150 degrees
So 210 - 150 = 60 degrees.
But we forgot one thing. The hour meter moves too when the minutes moves (when e.g the clock is half 12 the hour meter is between 11 and 12)
So the degrees between 7 and 8 is 30.
Therefore, the degrees that the hour meter is taking every five minutes is 2.5 (since 30 ÷ 12 = 2.5)
25 minutes = five 5 minutes
Therefore 5 × 2.5 = 12.5 degrees
So when we add that to the 60 degrees we had before we get 72.5 degrees
Answer: 72.5 degrees is angle when the clock is 7:25
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