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morpeh [17]
3 years ago
15

Write an equation of the perpendicular bisector of the segment with endpoints U(-3,4) and V(9,8)

Mathematics
1 answer:
stealth61 [152]3 years ago
5 0

Answer:

y=-3x+15

Step-by-step explanation:

the midpoint of UV (using the midpoint formula) is (3,6)

the slope of UV= 4/12= (1/3)

perpendicular slope is -3

now find line with slope -3 passing (3,6)

y-6=-3(x-3)

y=-3x+15

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An oblique cone has a radius of 4 units, a height of 8.5 units, and a slant length of 11.7 inches. What is the volume of the obl
trasher [3.6K]

Oblique Cone

The volume of the oblique cone is 144.49 cubic inches , if an oblique cone has a radius of 4 units, a height of 8.5 units, and a slant length of 11.7 inches.

Step-by-step explanation:

             An oblique cone has a radius of 4 units

             A height of 8.5 units

             A slant length of 11.7 inches

We have to use the slant height to calculate actual base

So in a right angle triangle when two sides are given the third side is calculated by

Root (sqr(11,7) - sqr(8.5)) = 8.03 units

\sqrt{11.7^{2}  - 8.5^{2} }

⇒ 8.03 units

Formula to calculate the volume of oblique cone,......................(1)

V = \frac{1}{3} bh

If r is the distance of the base of the height from the center of the circle [ this is because the base of the height is outside the oblique cone]

V = \frac{1}{3} \pi r^{2} h

Where r is the distance if the base of the height from the center of the circle [ this is because the base of the height is outside the oblique cone]

Here r = 8.03 - 4 = 4.03 units

Volume = \frac{1}{3}× 3.14 × 4.03 × 4.03 × 8.5

Volume = 144.49 cubic inches

Hence, the volume of the oblique cone is 144.49 cubic inches , if an oblique cone has a radius of 4 units, a height of 8.5 units, and a slant length of 11.7 inches.

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