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OpenStudy (mathmath333):
OpenStudy (mathmath333):
|dw:1455828939762:dw|
OpenStudy (welshfella):
V1= kw^2
for the largest piece after the breakage
V2= k(0.6w)^2
OpenStudy (solomonzelman):
My best tackle on it....
The variation is:
\(\color{#000000}{ \displaystyle {\rm V}=k {\rm W^2} }\)
So, the weight of the value of the two pieces is:
\(\color{#000000}{ \displaystyle k \left(\frac{3}{5}\right)^2+k \left(\frac{2}{5}\right)^2 = \frac{9k}{25}+\frac{4k}{25} = \frac{13k}{25} }\)
When compared to
\(\color{#000000}{ \displaystyle k \left(1\right)^2=k }\)
OpenStudy (solomonzelman):
So, you now only have 13/25's of the value.
That is, you lose 12/25's (or 48/100's) of the value.
So the percentage loss is not difficult.
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OpenStudy (solomonzelman):
That third line should say: \(\rm So~the~value,~of~the~two~pieces~is\)
OpenStudy (mathmath333):
is the answer 52\(\%\)
OpenStudy (mathmath333):
is the answer 48%
OpenStudy (solomonzelman):
I assume that «percentage loss», means the percent (of the initial value) that is lost (from this initial value).
OpenStudy (mathmath333):
48 ?
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