document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=890669>Question 890669</A>: <I><SPAN STYLE=\"word-break: break-all;\"> pls help me to answer: find the angle of the clock between 1:48 am </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #539142 by </B><A HREF=/tutors/aboutme.mpl?userid=josmiceli><B>josmiceli(19441)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=josmiceli><IMG SRC=http://www.algebra.com/images/aboutme-small.gif BORDER=0 alt=\"About Me\" VALIGN=MIDDLE></A>&nbsp;<IMG SRC=http://www.algebra.com/cgi-bin/show-face.mpl?user=josmiceli><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=539142\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> Since both the minute hand and the our hand are<BR>\n" );
document.write( "moving all the time, their rates of motion have to <BR>\n" );
document.write( "be taking into account.<BR>\n" );
document.write( "-------------------------<BR>\n" );
document.write( "One full circle is <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+60+ ALIGN=MIDDLE  ALT=\"+60+\"   DISABLED_style= \"max-width:90%; height:auto;\" > minutes<BR>\n" );
document.write( "The circular rate of motion of the minute hand is <BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+60+ ALIGN=MIDDLE  ALT=\"+60+\"   DISABLED_style= \"max-width:90%; height:auto;\" > min / hr<BR>\n" );
document.write( "-------------------<BR>\n" );
document.write( "The circular rate of motion of the hour hand is<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+5+ ALIGN=MIDDLE  ALT=\"+5+\"   DISABLED_style= \"max-width:90%; height:auto;\" > min / hr ( from 12 to 1 AM in one hour )<BR>\n" );
document.write( "--------------------<BR>\n" );
document.write( "At 1 AM, the fraction of the circle between the hands is<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+5%2F60+=+1%2F12+ ALIGN=MIDDLE  ALT=\"+5%2F60+=+1%2F12+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "---------------------<BR>\n" );
document.write( "While the minute hand goes from the 12 position to<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+48+ ALIGN=MIDDLE  ALT=\"+48+\"   DISABLED_style= \"max-width:90%; height:auto;\" > minutes after, the fraction of the circle is:<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+48%2F60+=+4%2F5+ ALIGN=MIDDLE  ALT=\"+48%2F60+=+4%2F5+\"   DISABLED_style= \"max-width:90%; height:auto;\" > ( in terms of a 60 minute full circle )<BR>\n" );
document.write( "---------------------<BR>\n" );
document.write( "Since the hour hand travels at <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+5%2F60+=+1%2F12+ ALIGN=MIDDLE  ALT=\"+5%2F60+=+1%2F12+\"   DISABLED_style= \"max-width:90%; height:auto;\" > of<BR>\n" );
document.write( "the rate of the minute hand,<BR>\n" );
document.write( "It's angle traveled is:<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+%281%2F12%29%2A%284%2F5%29+=+4%2F60+ ALIGN=MIDDLE  ALT=\"+%281%2F12%29%2A%284%2F5%29+=+4%2F60+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+4%2F60+=+1%2F15+ ALIGN=MIDDLE  ALT=\"+4%2F60+=+1%2F15+\"   DISABLED_style= \"max-width:90%; height:auto;\" > of a full circle<BR>\n" );
document.write( "------------------------------<BR>\n" );
document.write( "The angle between the hand, in terms of a full hour is:<BR>\n" );
document.write( "( minus the initial gap ) + ( how far the minute hand goes ) - ( minus how far the hour hand goes )<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+-1%2F12+%2B+4%2F5+-1%2F15+ ALIGN=MIDDLE  ALT=\"+-1%2F12+%2B+4%2F5+-1%2F15+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+-5%2F60+%2B+48%2F60+-+4%2F60+ ALIGN=MIDDLE  ALT=\"+-5%2F60+%2B+48%2F60+-+4%2F60+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+39%2F60+ ALIGN=MIDDLE  ALT=\"+39%2F60+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "This is 49 minutes out of 60 minutes, or, in degrees:<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+%28+39%2A6+%29+%2F+360+=+234%2F360+ ALIGN=MIDDLE  ALT=\"+%28+39%2A6+%29+%2F+360+=+234%2F360+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "The answer is 234 degrees<BR>\n" );
document.write( "You might want a 2nd opinion, too. I could<BR>\n" );
document.write( " *easily * have made a mistake\r<BR>\n" );
document.write( "<BR>\n" );
document.write( "\n" );
document.write( "  <BR>\n" );
document.write( "  </SPAN>\n" );
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