document.write( "Question 410535: what is the angle at the time 5:24\r
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Algebra.Com's Answer #288672 by Theo(13342)\"\" \"About 
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each hour hand represents 1/12 of of a complete circle.\r
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\n" ); document.write( "\n" ); document.write( "the number of degrees in a complete circle is 360 degrees.\r
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\n" ); document.write( "\n" ); document.write( "each hour hand is therefore equal to 360 / 12 = 30\r
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\n" ); document.write( "\n" ); document.write( "the 0 degree point is when the hour hand is on 12.\r
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\n" ); document.write( "\n" ); document.write( "when the hour hand is on 1, the number of degrees from the 0 point is equal to 1 * 30 = 30.\r
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\n" ); document.write( "\n" ); document.write( "when the hour hand is on 12, the number of degrees from the 0 point is equal to 12 I 30 = 360 degrees which is the same as 0 degrees because one complete revolution is equal to 360 degrees.\r
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\n" ); document.write( "\n" ); document.write( "when the hour hand is on 5, the number of degrees from the 0 point is equal to
\n" ); document.write( "5 * 30 = 150 degrees.\r
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\n" ); document.write( "\n" ); document.write( "since there are 60 minutes between hours, when the time is 5:24, the hour hand is on 5 + 24/60.\r
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\n" ); document.write( "\n" ); document.write( "24/60 is the same as .4\r
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\n" ); document.write( "\n" ); document.write( "the hour hand is therefore on 5.4.\r
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\n" ); document.write( "\n" ); document.write( "5.4 * 30 = 162 degrees.\r
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\n" ); document.write( "\n" ); document.write( "now to the minute hand.\r
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\n" ); document.write( "\n" ); document.write( "there are 12 * 5 minute marks on the clock.\r
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\n" ); document.write( "\n" ); document.write( "that's a total of 60 minute marks.\r
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\n" ); document.write( "\n" ); document.write( "each minute is therefore equal to 360/60 = 6 degrees.\r
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\n" ); document.write( "\n" ); document.write( "when the little hand is on the 24 (4 minutes past the 4 o'clock mark), the number of degrees from the 0 point is equal to 24 * 6 = 144 degrees.\r
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\n" ); document.write( "\n" ); document.write( "the angle between the little hand the the big hand is equal to 162 - 144 = 18 degrees.\r
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