document.write( "Question 1037294: Point A is on the edge of a circular disk. Every day at noon, the disk is rotated exactly 150 degrees in a counter-clockwise direction. What day of the week will it be the next time point A is at the same position that it was at l0 am on Saturday?\r
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Algebra.Com's Answer #652012 by Edwin McCravy(20060)\"\" \"About 
You can put this solution on YOUR website!
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document.write( "To get back to where it started, the disk must have   \r\n" );
document.write( "rotated through a multiple of 360°, and also through a \r\n" );
document.write( "multiple of 150°.  We find the least common multiple \r\n" );
document.write( "of 150° and 360°\r\n" );
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document.write( "150 = 2∙3∙5²\r\n" );
document.write( "360 = 2³∙3²∙5\r\n" );
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document.write( "The least common multiple needs\r\n" );
document.write( "2 as a factor 3 times, 3 as a\r\n" );
document.write( "factor 2 times, and 5 as a factor\r\n" );
document.write( "2 times.\r\n" );
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document.write( "So the LCM is 2³∙3²∙5² = 1800°\r\n" );
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document.write( "That means the 150° has been added\r\n" );
document.write( "1800°/150° = 12 times.\r\n" );
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document.write( "Since we started before noon on a \r\n" );
document.write( "Saturday, it rotated the first 150°\r\n" );
document.write( "at noon on Saturday. Heck, let's just\r\n" );
document.write( "go through the 12 days day by day until the\r\n" );
document.write( "disk has rotated through 1800° and see what \r\n" );
document.write( "day we end up on:\r\n" );
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document.write( "1. Saturday noon it had rotated through 150°\r\n" );
document.write( "2. Sunday noon it had rotated through 300°\r\n" );
document.write( "3. Monday noon it had rotated through 450°\r\n" );
document.write( "4. Tuesday noon it had rotated through 600°\r\n" );
document.write( "5. Wednesday noon it had rotated through 750°\r\n" );
document.write( "6. Thursday noon it had rotated through 900°\r\n" );
document.write( "7. Friday noon it had rotated through 1050°\r\n" );
document.write( "8. Saturday noon it had rotated through 1200°\r\n" );
document.write( "9. Sunday noon it had rotated through 1350°\r\n" );
document.write( "10. Monday noon it had rotated through 1500°\r\n" );
document.write( "11. Tuesday noon it had rotated through 1650°\r\n" );
document.write( "12. Wednesday noon it had rotated through 1800°, \r\n" );
document.write( "which is the first time it had rotated through \r\n" );
document.write( "a multiple of 360°\r\n" );
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document.write( "Edwin
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