document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=83016>Question 83016</A>: <I><SPAN STYLE=\"word-break: break-all;\"> The electrical resistance (R) of a wire varies directly as its length(L) and inversely as the square of its diameter. A wire 20 meters long and 0.6 centimeters in diameter made from a certain alloy has a resistance of 36 ohms.  What is the resistance of a piece of wire 60 meters long and 1.2 centimeters in diameter made from the same material?  The answer is multiple choice.<BR>\n" );
document.write( "a. 24 ohms<BR>\n" );
document.write( "b. 27 ohms<BR>\n" );
document.write( "c. 30 ohms<BR>\n" );
document.write( "d. 48 ohms </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #59555 by </B><A HREF=/tutors/aboutme.mpl?userid=funmath><B>funmath(2933)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=funmath><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/images/nopicture.jpg><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=59555\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> The electrical resistance (R) of a wire varies directly as its length(L) and inversely as the square of its diameter (d). A wire 20 meters long and 0.6 centimeters in diameter made from a certain alloy has a resistance of 36 ohms.  What is the resistance of a piece of wire 60 meters long and 1.2 centimeters in diameter made from the same material?  The answer is multiple choice.<BR>\n" );
document.write( "a. 24 ohms<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=highlight%28b%29 ALIGN=MIDDLE  ALT=\"highlight%28b%29\"   DISABLED_style= \"max-width:90%; height:auto;\" >. 27 ohms<BR>\n" );
document.write( "c. 30 ohms<BR>\n" );
document.write( "d. 48 ohms<BR>\n" );
document.write( "Directly means multiply, inversely means divide, k is the constant of proportionality. <BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=R=kL%2F%28d%5E2%29 ALIGN=MIDDLE  ALT=\"R=kL%2F%28d%5E2%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > when L=20 and d=.6, R=36, find k<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=36=k%2820%29%2F%28%28.6%29%5E2%29 ALIGN=MIDDLE  ALT=\"36=k%2820%29%2F%28%28.6%29%5E2%29\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=36=20k%2F.36 ALIGN=MIDDLE  ALT=\"36=20k%2F.36\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%28.36%2F20%29%2A36=%28.36%2F20%29%2A%2820k%2F.36%29 ALIGN=MIDDLE  ALT=\"%28.36%2F20%29%2A36=%28.36%2F20%29%2A%2820k%2F.36%29\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=.648=k ALIGN=MIDDLE  ALT=\".648=k\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "Therefore the formula is: <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=R=.648L%2F%28d%5E2%29 ALIGN=MIDDLE  ALT=\"R=.648L%2F%28d%5E2%29\"   DISABLED_style= \"max-width:90%; height:auto;\" >, let L=60 and d=1.2 and solve for R.<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=R=.648%2860%29%2F%281.2%5E2%29 ALIGN=MIDDLE  ALT=\"R=.648%2860%29%2F%281.2%5E2%29\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "R=27 ohms<BR>\n" );
document.write( "Happy Calculating!!!! </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );