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FromTheMoon [43]
2 years ago
12

!20 PTS!

Mathematics
1 answer:
FromTheMoon [43]2 years ago
7 0

For both problems, we can use the section formula.

1) Z=\left(\frac{(2)(7)+(1)(1)}{3}, \frac{((2)(5)+(1)(2)}{3} \right)=\boxed{(5, 4)}

2) P=\left(\frac{(1)(1)+(5)(-9)}{6}, \frac{(1)(8)+(5)(3)}{6} \right)=\boxed{\left(-\frac{22}{3}, \frac{23}{6} \right)}

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Think of the two pieces together as a single cone of height 19, and its volume.
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The volume of a cone is:

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V_t = \dfrac{1}{3} \times \pi \times 7.5^2 \times 19

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Volume of frustum:

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