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VLD [36.1K]
3 years ago
6

By decreasing each dimension by 1 unit​, the area of a rectangle decreased from 40 square feet​ (on the​ left) to 28 square feet

​ (on the​ right). Find the percent decrease in area.

Mathematics
1 answer:
BabaBlast [244]3 years ago
7 0
Attached a pic of the solution (s).

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Step-by-step explanation:

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6x + y = -2<br> y= -3x + 1<br><br> Graph the solution
Gala2k [10]
6x + y = -2
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Substitute the value of y in first equation, 
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Which angles are vertical angles?
AVprozaik [17]

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7 0
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What is x, if the volume of the cylinder is 768pi rcm3?
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let's recall Cavalieri's Principle, <u>solids with equal altitudes and cross-sectional areas at each height have the same volume</u>, so even though this cylinder is slanted with a height = x and a radius = 8, the cross-sectional areas from the bottom to top are the same thickness and thus the same area, so its volume will be the same as a cylinder with the same height and radius that is not slanted.

\bf \textit{volume of a cylinder}\\\\ V=\pi r^2 h~~ \begin{cases} r=radius\\ h=height\\ \cline{1-1} r=8\\ h=x\\ V=768\pi \end{cases}\implies 768\pi =\pi (8)^2(x)\implies 768\pi =64\pi x \\\\\\ \cfrac{768\pi }{64\pi }=x\implies 12=x

5 0
3 years ago
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