document.write( "Question 102939: At exactly what time (to the fraction of a minute) between 7:00 and 8:00 do the hands of a clock form a straight angle? \n" ); document.write( "
Algebra.Com's Answer #74876 by ankor@dixie-net.com(22740)![]() ![]() You can put this solution on YOUR website! At exactly what time (to the fraction of a minute) between 7:00 and 8:00 do the hands of a clock form a straight angle? \n" ); document.write( ": \n" ); document.write( "Let x = no. of minutes \n" ); document.write( ": \n" ); document.write( "Convert minutes to degrees, 360/60 = 6 deg/min \n" ); document.write( ": \n" ); document.write( "Convert hours to degrees, 360/12 = 30 deg/hr \n" ); document.write( ": \n" ); document.write( "7 o'clock = 7 * 30 = 210 degrees \n" ); document.write( ": \n" ); document.write( "Portion of an hr = (x/60) * 30 = x/2 or .5x \n" ); document.write( ": \n" ); document.write( "Hr hand degrees - minute hand degrees = 180 \n" ); document.write( "210 + .5x - 6x = 180 \n" ); document.write( ": \n" ); document.write( "-5.5x = 180 - 210 \n" ); document.write( ": \n" ); document.write( "-5.5x = -30 \n" ); document.write( ": \n" ); document.write( "x = -30/-5.5 \n" ); document.write( ": \n" ); document.write( "x = 5.45 minutes. The time would be 07:05.45 for a straight line of the hands \n" ); document.write( ": \n" ); document.write( "Check our solution \n" ); document.write( "210 + (5.45/60)30 - 5.45(6) = \n" ); document.write( "210 + 2.7 - 32.7 = 180 \n" ); document.write( " |