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rewona [7]
4 years ago
9

Suppose there are n rectangular prisms stacked on top of each other in various ways to form one solid. Each has l = w and a heig

ht of h. Using Cavalieri's principle, what is the volume of the solid?
Mathematics
1 answer:
horsena [70]4 years ago
6 0
The volume of the resulting solid will be the volume of one rectangular prism times n.
The the volume of a rectangular prism is V=lwh. But since l=w (cross-section is a square), we now have V=l²h.

The volume of the resulting solid will be V = nl²h or V = nw²h.

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If f(x)=8-5x, find each value<br> 1. f(4c)<br> 2. f(2-k)<br> 3. f(4p+3)<br> Please and thanks!
Studentka2010 [4]

Problem 1

We replace every copy of x with 4c and simplify like so:

f(x) = 8 - 5x

f(4c) = 8 - 5*4c

f(4c) = 8 - 20c is the answer

This is equivalent to -20c+8.

====================================================

Problem 2

Same idea as before, but this time we'll plug in x = 2-k

Each x gets replaced with (2-k)

f(x) = 8 - 5x

f(2-k) = 8 - 5(2-k)

f(2-k) = 8 - 10 + 5k

f(2-k) = -2 + 5k

This is the same as saying 5k - 2.

====================================================

Problem 3

The steps are similar to earlier.

f(x) = 8 - 5x

f(4p+3) = 8 - 5(4p+3)

f(4p+3) = 8 - 20p - 15

f(4p+3) = -7-20p

This is the same as writing -20p - 7.

7 0
1 year ago
15+26-13<br> Random okay have a great day
Klio2033 [76]

Answer:

28

Step-by-step explanation:

6 0
3 years ago
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Please help with 8 and 10 ..
Natalka [10]

Answer:

8) Parallelogram.

10) Point W.

Step-by-step explanation:

8) Give another name of plane V.

As shown the plane represents A flat shape with 4 straight sides where opposite sides are parallel and also opposite sides are equal in length.

So, plane V represents parallelogram

10) Name a point that is not coplanar with R, S and T.

Coplanar points are the points which all lie in the same plane.

So, as shown:

R, S and T are coplanar points, they all lie in the plane V

So, the point which doesn't lie in the plane V is the point W

So, <u>the point W</u> is not coplanar with R, S and T.

5 0
3 years ago
Find the slope of the<br> line through the<br> points (1,-2) and (-7,4)
horrorfan [7]

Answer:

-3/4

Step-by-step explanation:

To find the slope, plug the coordinates into the slope formula.

y2 - y1 / x2 - x1

4 - (-2) / -7 - 1

6 / - 8

-3/4

6 0
3 years ago
If g (x)= 3/2x+4, what is the value of g(2)?
Semmy [17]

Answer:

g(2) =7

Step-by-step explanation:

g (x)= 3/2x+4

Let x = 2

g (2)= 3/2 *2+4

      = 3 +4

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6 0
3 years ago
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