document.write( "Question 1137279: The mass Kg of a metal bar varies jointly as its length L meters and the square of its diameter d mm. If W = 140 when d = 4 and L = 54, find d in terms of W and L \n" ); document.write( "

Algebra.Com's Answer #755142 by josmiceli(19441) $\"\"$ $\"About$

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$\"+W+\"$ is the mass in kg
\n" ); document.write( "Let $\"+k+\"$ = constant
\n" ); document.write( " $\"+W+=+k%2AL%2Ad%5E2+\"$
\n" ); document.write( " $\"+W+=+140+\"$
\n" ); document.write( " $\"+L+=+54+\"$
\n" ); document.write( " $\"+d+=+4+\"$
\n" ); document.write( " $\"+140+=+k%2A54%2A4%5E2+\"$
\n" ); document.write( " $\"+140+=+864k+\"$
\n" ); document.write( " $\"+k+=+.16204+\"$
\n" ); document.write( " $\"+d%5E2+=+W%2F%28+k%2AL+%29+\"$
\n" ); document.write( " $\"+d+=+sqrt%28+W%2F%28+k%2AL+%29%29+\"$
\n" ); document.write( " $\"+d+=+sqrt%28+W%2F%28+.16204L+%29%29+\"$
\n" ); document.write( "check:
\n" ); document.write( " $\"+d+=+sqrt%28+140%2F%28+.16204%2A54+%29%29+\"$
\n" ); document.write( " $\"+d+=+sqrt%28+140%2F8.75+%29+\"$
\n" ); document.write( " $\"+d+=+sqrt%28+16+%29+\"$
\n" ); document.write( " $\"+d+=+4+\"$
\n" ); document.write( " \n" ); document.write( "

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