Brian is creating a collage on a piece of cardboard that has an area of 150r2 square centimeters. The collage is covered entirely by pieces of paper that do not overlap. Each piece has an area of radical(r^3) square centimeters. Use the given information to determine an expression for the total number of pieces of paper used. - HELP
this one?
yeah
looks like we need to determine how many peices of \(\sqrt{r^3}\) can fit into 150r^2
\[n\sqrt{r^3}=150r^2\] we can convert a radical to an exponent:\[\sqrt[c]{B^a}=B^{a/c}\]
i don't need the answer just the expression to use
\[nr^{3/2}=150r^2\] divide off that r^3/2 \[n\frac{r^{3/2}}{r^{3/2}}=150\frac{r^2}{r^{3/2}}\] \[n=150\frac{r^2}{r^{3/2}}\] and then we would have to simplify the right side
\[\frac{B^t}{B^b}\to \ B^{t-b}\]
\[n=150\frac{r^2}{r^{3/2}}\] \[n=150\ r^{2-\frac{3}{2}}\] \[n=150\ r^{\frac{4}{2}-\frac{3}{2}}\] \[n=150\ r^{\frac{1}{2}}\]
wait but what does n represent?
and since division in an exponent expresses a radical we get: \[n=150 \sqrt{r} \]
the "n"umber of pieces we are looking to fit into the clooage
or whatever its called :)
o ok thanks
i have a few more questions so watch for when i post them please
if im available
o ok
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