document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=1174259>Question 1174259</A>: <I><SPAN STYLE=\"word-break: break-all;\"> A rope fits tightly around two pulleys. What is the distance between the center of the pulleys if the radii of the bigger and smaller pulleys are 10cm and 6cm, respectively,and the portion of the rope tangent to the two pulleys is 50cm long?<BR>\n" );
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document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #799662 by </B><A HREF=/tutors/aboutme.mpl?userid=ikleyn><B>ikleyn(52781)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=ikleyn><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=ikleyn><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=799662\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> .\r<BR>\n" );
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document.write( "Go to the lesson\r<BR>\n" );
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document.write( "&nbsp;&nbsp;&nbsp;&nbsp;- <A  rel=nofollow HREF=http://www.algebra.com/algebra/homework/word/geometry/HOW-TO-construct-a-common-exterior-tangent-line-to-two-circles.lesson>HOW TO construct a common exterior tangent line to two circles</A> \r<BR>\n" );
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document.write( "in this site.\r<BR>\n" );
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document.write( "Find there the Figure 1b.\r<BR>\n" );
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document.write( "It represents the situation closed to that of your task.\r<BR>\n" );
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document.write( "In this Figure, &nbsp;find a right angled triangle &nbsp;(there is &nbsp;ONLY &nbsp;ONE &nbsp;UNIQUE &nbsp;such a triangle in this figure).\r<BR>\n" );
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document.write( "In this triangle, &nbsp;you are given one leg, &nbsp;which is the difference of the radii lengths  &nbsp;&nbsp;10-6 = 4 cm,\r<BR>\n" );
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document.write( "and another leg, &nbsp;whose length is equal to the portion of the rope tangent to both pulleys &nbsp;(its length is &nbsp;50 &nbsp;cm).\r<BR>\n" );
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document.write( "The distance between the centers of the pulleys is the hypotenuse of this right angled triangle.\r<BR>\n" );
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document.write( "So, &nbsp;the distance between the pulleys' centers is\r<BR>\n" );
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document.write( "    &nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=sqrt%284%5E2+%2B+50%5E2%29 ALIGN=MIDDLE  ALT=\"sqrt%284%5E2+%2B+50%5E2%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > = <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=sqrt%282516%29 ALIGN=MIDDLE  ALT=\"sqrt%282516%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > = 50.16 cm (rounded to two decimals after the decimal point). &nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;<U>ANSWER</U><BR>\n" );
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document.write( "Solved.\r<BR>\n" );
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