What is the area of a triangle whose vertices are L(4, -6) , M(9, -6) , and N(6, -2)

Mathematics

1 answer:

insens350 [35]3 years ago

7 0

Check the picture below. You can pretty much count the units off the grid.

recall that A = (1/2)bh.

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A wheelchair ramp rises 1.5 feet for every 18 feet of horizontal distance it covers. Find the rate of change of the ramp

Ierofanga [76]

By definition the rate of change of a function is given by:
$AVR = \frac{Change In Y}{Change In X}$
Or equivalently:
$AVR = \frac{y2 - y1}{x2 - x1}$
Substituting the values given in the problem we have:
$AVR = \frac{1.5}{18}$
Rewriting we have:
$AVR = 0.08$
Answer:
the rate of change of the ramp is:
$AVR = 0.08$

7 0

2 years ago

An oblique cylinder has a radius of 8 inches and a volume of 1,024 cubic inches. Use Cavalieri’s Principle to calculate the heig

enot [183]

Remark
All Cavaliere's principle says is that a slanted cylinder (for example) has the same volume as a cylinder with perpendicular parallel lines that the cylinder is sitting on.

I little known or maybe not a well emphasized fact is that the base is the same all the way up the cylinder. The coin picture below shows that. The basic formula for a Cavaliere cylinder is the same as for an ordinary cylinder.

See picture below

Formula
V = B * H

Sub and Solve
V = 1024
r = 8
p=3.14

V = pi*r^2 * h
1024 = 3.14*8^2 * h combine the right side.
1024 = 3.14*64 *h
1024 = 200.96 * h divide by 200.96
1024/200.96 = h
You are only getting 5 inches.

None of your answers work.The conversion to meters is going to give you an even smaller number. If you add a comment, I'll come back and edit this question.