document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=1115568>Question 1115568</A>: <I><SPAN STYLE=\"word-break: break-all;\"> A lumber mill cuts rectangular beams from circular logs. If diameter of the log is 16 inches and the cross-sectional area of the beam is 120 square inches.find the dimensions of the cross section of the beam correct to the one decimal place. </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #730482 by </B><A HREF=/tutors/aboutme.mpl?userid=ankor@dixie-net.com><B>ankor@dixie-net.com(22740)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=ankor@dixie-net.com><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=ankor@dixie-net.com><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=730482\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> A lumber mill cuts rectangular beams from circular logs.<BR>\n" );
document.write( " If diameter of the log is 16 inches and the cross-sectional area of the beam is 120 square inches.<BR>\n" );
document.write( "find the dimensions of the cross section of the beam correct to the one decimal place.<BR>\n" );
document.write( ":<BR>\n" );
document.write( "A rectangular beam from a circular log is a square. <BR>\n" );
document.write( "The diameter of the log is the hypotenuse of the cross section of the square beam<BR>\n" );
document.write( ":<BR>\n" );
document.write( "let L = one side of the cross section of the beam,<BR>\n" );
document.write( "let w = the other side<BR>\n" );
document.write( ":<BR>\n" );
document.write( "L*w = 120<BR>\n" );
document.write( "L = 120/w<BR>\n" );
document.write( ": <BR>\n" );
document.write( "using Pythagoras:<BR>\n" );
document.write( "L^2 + w^2 = 16^2<BR>\n" );
document.write( "L^2 = 256 - w^2<BR>\n" );
document.write( "L = <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=sqrt%28256-w%5E2%29 ALIGN=MIDDLE  ALT=\"sqrt%28256-w%5E2%29\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "plot these two equations<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+graph%28+300%2C+200%2C+-3%2C+18%2C+-3%2C+18%2C+120%2Fx%2C+sqrt%28256-x%5E2%29%29+ ALIGN=MIDDLE  ALT=\"+graph%28+300%2C+200%2C+-3%2C+18%2C+-3%2C+18%2C+120%2Fx%2C+sqrt%28256-x%5E2%29%29+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "points of intersection<BR>\n" );
document.write( "9.1355287, 13.1355287 and 13.1355287, 9.1355287<BR>\n" );
document.write( "correct to one decimal point. cross section <BR>\n" );
document.write( "length = 13.1 inches; width 9.1 inches\r<BR>\n" );
document.write( "<BR>\n" );
document.write( "\n" );
document.write( " </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );