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Mathematics 18 Online
OpenStudy (anonymous):

through how many degrees does the minute hand of a clock rotate in 3 minutes.

OpenStudy (anonymous):

60 minutes=360 degrees [one revolution] Therefore: 3 minutes=18 degrees

OpenStudy (anonymous):

Cross multiply.

OpenStudy (anonymous):

If ever in doubt with a question that involves finding an unknown through using three values, try and cross multiply

OpenStudy (dean.shyy):

A simpler solution is using the equation: theta = 6M, where M is the # of minutes and theta is the angle degree. You can also use this to determine the actual angle from the 12 O'Clock position of the clock.

OpenStudy (anonymous):

ok what aobut "what part of a complete rotation does the hour hand of a clock make in 3 minutes?"

OpenStudy (dean.shyy):

You take the same equation but you replace 6M with 1/2 * (60H + M), where H is the hours, and the M is the minutes. The equation is usually used with the 12 O'Clock as the starting position for counting how many hours or minutes you want to calculate to determine the angle of the hour hand. However, it can also be used to calculate the number of degree moved overall.

OpenStudy (anonymous):

To make the hour hand move from one number to the next which is 30 degrees, the minute hand moves 360 degrees. Therefore you know that the minute hand moves 18 degrees when 3 minutes has past. So cross multiply! \[30=360\] \[x=3\] Find x by cross multiplying.

OpenStudy (anonymous):

\[x=\frac{3\times 30}{360}\]

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