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a_sh-v [17]
3 years ago
5

what is the height of a rectangular prism that has a volume of 2880 cubic inches and a base of 240 inches

Mathematics
2 answers:
Alex777 [14]3 years ago
5 0

Answer:

\bf \huge 12 \:  inches

Step-by-step explanation:

<h2>Given that :</h2>

  • a volume of 2880 cubic inches
  • a base of 240 inches

<h2>to find :</h2>

  • what is the height of a rectangular prism

<h2>formulas used :</h2>

  • height = volume ÷ base

<h2>explanation :</h2>

⟼ valume = 2880³ , base = 240 , height = ??

we know that,

  • height = valume ÷ base

<h2>finding the height :</h2>

⟼ height = valume ÷ base

⟼ height = 2880³ inches ÷ 240 inches

⟼ height = 12 inches.

∴ the rectangular prism height is 12 inches.

Sergeu [11.5K]3 years ago
4 0

Answer:

h = 12 in

Step-by-step explanation:

To find the height, divide the volume by the base:

              2880 in^3

height:  ------------------ = 12 in

                  240 in

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33,072.9

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4 years ago
Simplify the radical expression 4 square root 81x^20y^8
Dimas [21]

The simplified expression is 3x^5 y^2

Step-by-step explanation:

The radical expression to simplify is

\sqrt[4]{81x^{20}y^8}

We notice the following:

81=3^4

And using the property

(x^a)^b=x^{a\cdot b}

we can write:

x^{20}=(x^5)^4

y^8 = (y^2)^4

So the argument of the radical can be written as

\sqrt[4]{(3)^4(x^5)^4(y^2)^4} =\sqrt[4]{(3x^5y^2)^4}

And now by using the property

\sqrt[n]{a^n}=a

We find:

\sqrt[4]{(3x^5y^2)^4}=3x^5 y^2

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4 0
3 years ago
Read 2 more answers
Use the position function s(t) = –4.9t2 + 500, which gives the height (in meters) of an object that has fallen for t seconds fro
weqwewe [10]

Complete Question

The complete question is shown on the first uploaded image

Answer:

The  value is  v(3) =  29.4 \  m/s

Step-by-step explanation:

From the question we are told that

    s(t) =  -4.9t^2 + 500

And  

    \lim_{t \to a}  \frac{s(a) - s(t)}{a-t}

Generally s(t) at t = a is mathematically evaluated as

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So

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     s(a) - s(t) =  -4.9a^2 + 500 +4.9t^2-500)

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Thus the velocity is represented as

     v(t) =\lim_{t \to a}  \frac{s(a) - s(t)}{a-t} \equiv \lim_{t \to a} \frac{4.9(t^2 -  a^2 )}{ a-t}

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=>      v(t) = -4.9 (a + a )

=>      v(t) = -9.8a

Now at  t =  3

=>  v(3) = -9.8 (3)

=>   v(3) =  29.4 \  m/s

3 0
4 years ago
2 Which set of side lengths will form a triangle?
Arlecino [84]

Answer:

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What’s the value for Y
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Answer:28

Step-by-step explanation:

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