Need help on geometry!!!

Mathematics

1 answer:

FromTheMoon [43]4 years ago

8 0

The mid point of DE is (3,-1)
This can be found with Pythagorean Theorem

The length of “a” is 6. The length of “b” is 4.
The length of DE is ≈ 7.21. The midpoint of this value is found at coordinates (3,-1)

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11111nata11111 [884]

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now, for the second one, we know the diameter is 10, thus its radius is half that or 5.

$\bf \textit{volume of a cone}\\\\ V=\cfrac{\pi r^2 h}{3}~~ \begin{cases} r=radius\\ h=height\\[-0.5em] \hrulefill\\ r=5\\ V=225 \end{cases}\implies 225=\cfrac{\pi (5)^2 h}{3}\implies 225=\cfrac{25\pi h}{3} \\\\\\ \cfrac{225}{25\pi }=\cfrac{h}{3}\implies \cfrac{9}{\pi }=\cfrac{h}{3}\implies \cfrac{27}{\pi }=h\implies 8.59\approx h\implies \stackrel{\textit{rounded up}}{8.6=h}$

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