document.write( "Question 1117404: In moving through 124 degrees, the minute hand of a clock sweeps out 9 times the area swept out by the hour hand when it moves 31 degrees. How many times is the minute hand longer than the hour hand? \n" ); document.write( "

Algebra.Com's Answer #732477 by ikleyn(52799) $\"\"$ $\"About$

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document.write( "Without going into extended theorizing, you can write this proportion for areas\r\n" );
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document.write( "     = 9,\r\n" );
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document.write( "where  r and R are the lengths of the minute and hour hands, respectively.\r\n" );
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document.write( "Then from this proportion   =  = , and  =  = .\r\n" );
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document.write( "Thus  the minute hand is   times as long as the hour hand.\r\n" );
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