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HACTEHA [7]
2 years ago
12

A rectangular pyramid fits exactly on top of a rectangular prism. The prism has a length of 16 cm, a width of 6 cm, and a height

of 8 cm. The pyramid has a height of 14 cm. Find the volume of the composite space figure.
Mathematics
1 answer:
blondinia [14]2 years ago
3 0

Answer:

<u>1,216 cm³</u>

Step-by-step explanation:

Volume (composite space figure) = Volume (pyramid) + volume (prism)

  • ⇒ [16 x 6 x 14 / 3] + [16 x 6 x 8]
  • ⇒ 96 [14/3 + 8]
  • ⇒ 96 [14/3 + 24/3]
  • ⇒ 96 x 38/3
  • ⇒ 32 x 38
  • ⇒ <u>1,216 cm³</u>
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Andrei [34K]

Answer:

-2x³+4x

Step-by-step explanation:

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5 0
3 years ago
Which equation justifies why nine to the one third power equals the cube root of nine?
AVprozaik [17]

Answer:

nine to the one third power all raised to the third power equals nine raised to the one third times three power equals nine

Step-by-step explanation:

we know that

The <u><em>Power of a Power Property</em></u> , states that :To find a power of a power, multiply the exponents

so

(a^{b})^{c}=a^{b*c}

In this problem we have

9^{\frac{1}{3}} =\sqrt[3]{9}

Remember that

\sqrt[3]{9}=9^{\frac{1}{3}}

Raise to the third power

[9^{\frac{1}{3}}]^3

Applying the power of power property

9^{\frac{3}{3}}

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therefore

nine to the one third power all raised to the third power equals nine raised to the one third times three power equals nine

8 0
3 years ago
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Ksju [112]

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What are two numbers that have a product of 15 but also a sum of 8
Kruka [31]

Answer:

3 and 5

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vivado [14]
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3 years ago
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