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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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Write this ratio as a fraction in the simplest form without any units. 8 yards to 15 feet. full anwser.
KATRIN_1 [288]

Answer:

8/3

Step-by-step explanation:

15 feet = 3 yards

8 yards to 3 yards

Your welcome!

Kayden Kohl

8th Grade Student

4 0
3 years ago
Simply the rational expression.state any restrictions on the variable. k2-k-2/k2-4k-5
hjlf

We are given

\frac{k^2-k-2}{k^2-4k-5}

Firstly, we will factor numerator and denominator

\frac{k^2-k-2}{k^2-4k-5}=\frac{(k-2)(k+1)}{(k-5)(k+1)}

Restrictions:

we know that denominator can not be zero

so, we can set denominator =0

and solve for k to get restrictions

(k-5)(k+1)=0

k=-1,k=5

Simplification:

\frac{k^2-k-2}{k^2-4k-5}=\frac{(k-2)(k+1)}{(k-5)(k+1)}

we can see that k+1 gets cancelled

so, we get

\frac{k^2-k-2}{k^2-4k-5}=\frac{(k-2)}{(k-5)}..........Answer


5 0
3 years ago
What is the difference of ( 3x^2 - 2x +5 ) - ( x^2 + 4x - 11 ) written in standard form ?
lyudmila [28]

Answer:

–3x + 22

Step-by-step explanation:

x + 2(x – [3x – 8] + 3)

x + 2(x – 1[3x – 8] + 3)

x + 2(x – 1[3x] – 1[–8] + 3)

x + 2(x – 3x + 8 + 3)

x + 2(–2x + 11)

x + 2(–2x) + 2(+11)

x – 4x + 22

1x – 4x + 22

–3x + 22

5 0
3 years ago
Read 2 more answers
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marishachu [46]

0.75 or 3/4 m each.

Extra letters: cdvaysoHAHboaihscvia


7 0
3 years ago
I really need help with this can someone help me?
Klio2033 [76]
3/5 is the answer!!!!
7 0
3 years ago
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