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orlando19882000
08.12.2020 •
Mathematics
8. A worker uses 45o inches of steel wire to make 300 springs of the
same size. At this rate how many inches of steel wire are needed to
make 1 spring?
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Ответ:
42deg
Step-by-step explanation:
Let's see.
We'll consider 12:00 the "starting position"
The minute hand moves with the speed of 360deg in an hour, so 6deg per minute.
The hour hand moves with the speed of 360deg in 12hours, so 30deg per hour, so 0.5deg per minute.
at 3:24, the minute hand has moved 24*6deg=144deg from the starting position, while the hour hand has moved by 3*30deg + 24*0.5deg = 102deg
The absolute difference of the angles is 144deg-102deg = 42deg and it's the angle between the hands.