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3 years ago

(2b/3)^4 simplify the expression

Mathematics

1 answer:

Vladimir [108]3 years ago

6 0

Answer:

$\large\boxed{\left(\dfrac{2b}{3}\right)^4=\dfrac{16b^4}{81}}$

Step-by-step explanation:

$\left(\dfrac{2b}{3}\right)^4\qquad\text{use}\ \left(\dfrac{a}{b}\right)^n=\dfrac{a^n}{b^n}\ \text{and}\ (ab)^n=a^nb^n\\\\=\dfrac{2^4b^4}{3^4}=\dfrac{16b^4}{81}$

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DanielleElmas [232]

Answer:

The answer for just the triangular prism's volume is 175 inches cubed.

If you need me to add how to find the volume of the rectangular prism, please comment that you also need this then.

Step-by-step explanation:

A triangular prism's volume is equal to the base area (which is a triangle) multiplied by the length of the prism.

So find the area of the triangle and multiply it by 10 inches in this case.

So they are going to try to confuse on the triangle here because of they give three measurements where one of them is unnecessary in the formula .5bh.

The b and h represent the base and height respectively. The base and height of a triangle when intersected form 90 degree angle.

So we are using the 5 inches and 7 inches for it's height and base respectively.

The 9 inches is unnecessary in the calculation.

The volume if the triangular prism is found by doing .5(7)(5) times 10. The answer is in inches cube since inches*inches*inches=inches cubed or in^3.

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175

The answer for just the triangular prism's volume is 175 inches cubed.

If you need me to add how to find the volume of the rectangular prism, please comment that you also need this then.

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3 years ago

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Answer:

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Step-by-step explanation:

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Step-by-step explanation:

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Answer:

Step-by-step explanation: