document.write( "Question 1134557: the electrical resistance R of a wire varies directly as the length L and inversely as the square of the diameter d obtain an equation. connecting R, L and d if R =27 when 1=3 and d =2, calculate the
\n" ); document.write( "(a)value of R. when L=8 and d=3
\n" ); document.write( "(b) values of d when .R=16 and L=18
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Algebra.Com's Answer #752002 by josmiceli(19441)\"\" \"About 
You can put this solution on YOUR website!
Let \"+k+\" = constant of proportionality
\n" ); document.write( "\"+R+=+k%2AL%2A%281%2Fd%5E2+%29+\"
\n" ); document.write( "\"+R+=+27+\"
\n" ); document.write( "\"+L+=+3+\"
\n" ); document.write( "\"+d+=+2+\"
\n" ); document.write( "---------------------------
\n" ); document.write( "\"+R%2Ad%5E2+=+k%2AL+\"
\n" ); document.write( "\"+k+=+%28+R%2Ad%5E2+%29%2FL+\"
\n" ); document.write( "\"+k+=+%28+27%2A2%5E2+%29%2F3+\"
\n" ); document.write( "\"+k+=+108%2F3+\"
\n" ); document.write( "\"+k+=+36+\"
\n" ); document.write( "---------------------------
\n" ); document.write( "(a)
\n" ); document.write( "\"+R+=+36%2A8%2A%28+1%2F3%5E2+%29+\"
\n" ); document.write( "\"+R+=+36%2A8%2A%28+1%2F9+%29+\"
\n" ); document.write( "\"+R+=+32+\"
\n" ); document.write( "---------------------------
\n" ); document.write( "(b)
\n" ); document.write( "\"+16+=+36%2A18%2A%28+1%2Fd%5E2+%29+\"
\n" ); document.write( "\"+d%5E2+=+%28+36%2A18+%29%2F16+\"
\n" ); document.write( "\"+d%5E2+=+%28+9%2A18+%29%2F4+\"
\n" ); document.write( "\"+d%5E2+=+%28+9%2A9+%29%2F2+\"
\n" ); document.write( "\"+d%5E2+=+81%2F2+\"
\n" ); document.write( "\"+d+=+9%2Fsqrt%282%29+\"\r
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