document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=1121277>Question 1121277</A>: <I><SPAN STYLE=\"word-break: break-all;\"> L+1.25S^1/2-9.8D^1/3 <BR>\n" );
document.write( "——————————— < 24<BR>\n" );
document.write( "           0.686                     –           <— that’s supposed to be together with the sign          \r<BR>\n" );
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document.write( "In the inequality, L is the boats length ( in meters ), S is the sail area ( in square meters , and D is the displacement ( in cubic meters ). Displacement is the volume of the boat that is underwater. Yacht designers try to make the value of the left side of the inequality as close to 24 as possible. \r<BR>\n" );
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document.write( "The table below lists data on the AC45 Wingsail Catamaran, a yacht that was built to complete in the 2013 America’s cup. You are going to design a new yacht that will satisfy the America’s Cup rule and have twice the length and twice the sail area of the AC45z \r<BR>\n" );
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document.write( "Length : 13.45 meters <BR>\n" );
document.write( "Sail area : 93.7 square meters <BR>\n" );
document.write( "Displacement: 1.3 cubic meters \r<BR>\n" );
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document.write( "What are the requirements of your yacht? <BR>\n" );
document.write( "Can you design have a value grater then 24?  </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #737132 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=737132\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%28L%2B1.25%2Asqrt%28S%29-9.8%2A3sqrt%28D%29%29%2F.686 ALIGN=MIDDLE  ALT=\"%28L%2B1.25%2Asqrt%28S%29-9.8%2A3sqrt%28D%29%29%2F.686\"   DISABLED_style= \"max-width:90%; height:auto;\" > < 24 <BR>\n" );
document.write( " L is the boats length ( in meters ),<BR>\n" );
document.write( " S is the sail area ( in square meters , and<BR>\n" );
document.write( " D is the displacement ( in cubic meters ).<BR>\n" );
document.write( ":<BR>\n" );
document.write( " Displacement is the volume of the boat that is underwater.<BR>\n" );
document.write( " Yacht designers try to make the value of the left side of the inequality as close to 24 as possible. <BR>\n" );
document.write( "The table below lists data on the AC45 Wingsail Catamaran, a yacht that was built to complete in the 2013 America’s cup.<BR>\n" );
document.write( " You are going to design a new yacht that will satisfy the America’s Cup rule and have twice the length and twice the sail area of the AC45z <BR>\n" );
document.write( "Length : 13.45 meters <BR>\n" );
document.write( "Sail area : 93.7 square meters <BR>\n" );
document.write( "Displacement: 1.3 cubic meters<BR>\n" );
document.write( ": <BR>\n" );
document.write( "What are the requirements of your yacht? <BR>\n" );
document.write( "L = 26.9 m<BR>\n" );
document.write( "S = 187.4 sq/m<BR>\n" );
document.write( "D = ?<BR>\n" );
document.write( ":<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%2826.9%2B1.25%2Asqrt%28187.4%29-9.8%2A3sqrt%28D%29%29%2F.686 ALIGN=MIDDLE  ALT=\"%2826.9%2B1.25%2Asqrt%28187.4%29-9.8%2A3sqrt%28D%29%29%2F.686\"   DISABLED_style= \"max-width:90%; height:auto;\" > =24 <BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%2826.9%2B17.11-9.8%2A3sqrt%28D%29%29%2F.686 ALIGN=MIDDLE  ALT=\"%2826.9%2B17.11-9.8%2A3sqrt%28D%29%29%2F.686\"   DISABLED_style= \"max-width:90%; height:auto;\" > =24<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%2844-9.8%2A3sqrt%28D%29%29%2F.686 ALIGN=MIDDLE  ALT=\"%2844-9.8%2A3sqrt%28D%29%29%2F.686\"   DISABLED_style= \"max-width:90%; height:auto;\" > =24<BR>\n" );
document.write( "multiply both sides by .686<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=44-9.8%2A3sqrt%28D%29 ALIGN=MIDDLE  ALT=\"44-9.8%2A3sqrt%28D%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > = 16.464<BR>\n" );
document.write( "subtract 44 from both sides<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=-9.8%2A3sqrt%28D%29 ALIGN=MIDDLE  ALT=\"-9.8%2A3sqrt%28D%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > = 16.464 - 44<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=-9.8%2A3sqrt%28D%29 ALIGN=MIDDLE  ALT=\"-9.8%2A3sqrt%28D%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > = -27.536<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=3sqrt%28D%29 ALIGN=MIDDLE  ALT=\"3sqrt%28D%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > = <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=-27.536%2F%28-9.8%29 ALIGN=MIDDLE  ALT=\"-27.536%2F%28-9.8%29\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=3sqrt%28D%29 ALIGN=MIDDLE  ALT=\"3sqrt%28D%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > = +2.81<BR>\n" );
document.write( "cube both sides<BR>\n" );
document.write( "D = <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=2.81%5E3 ALIGN=MIDDLE  ALT=\"2.81%5E3\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "D = 22.2 cu/m is the displacement of the larger boat that still meets the America cup requirements<BR>\n" );
document.write( "However:<BR>\n" );
document.write( "Check<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%2826.9%2B1.25%2Asqrt%28187.4%29-9.8%2A3sqrt%2822.2%29%29%2F.686 ALIGN=MIDDLE  ALT=\"%2826.9%2B1.25%2Asqrt%28187.4%29-9.8%2A3sqrt%2822.2%29%29%2F.686\"   DISABLED_style= \"max-width:90%; height:auto;\" > = 24.001<BR>\n" );
document.write( "that's a little over 24, make the displacement = 22.3 cu/m and we get<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%2826.9%2B1.25%2Asqrt%28187.4%29-9.8%2A3sqrt%2822.3%29%29%2F.686 ALIGN=MIDDLE  ALT=\"%2826.9%2B1.25%2Asqrt%28187.4%29-9.8%2A3sqrt%2822.3%29%29%2F.686\"   DISABLED_style= \"max-width:90%; height:auto;\" > = 23.9<BR>\n" );
document.write( ";<BR>\n" );
document.write( "that would be a lot of boat below the waterline!\r<BR>\n" );
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document.write( " </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );