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3 years ago

PLS HELP ASAP!!! THANK YOU.

Mathematics

1 answer:

ipn [44]3 years ago

3 0

9514 1404 393

Answer:

rectangular prism: 288 ft³
triangular prism: 72 ft³
total: 360 ft³

Step-by-step explanation:

The volume of a rectangular prism is given by the formula ...

V = LWH . . . . . the product of length, width, height

This rectangular prism has a volume of ...

V = (12 ft)(6 ft)(4 ft) = 288 ft³ . . . . rectangular prism volume

The volume of a triangular prism is found from the formula ...

V = Bh

where B is the area of the triangular base, and h is the height of the prism (distance between the triangular bases). The triangular base area is found from ...

A = 1/2bh . . . . .where b is the base of the triangle, and h is its height.

Here, we have ...

B = 1/2(6 ft)(4 ft) = 12 ft²

V = Bh = (12 ft²)(6 ft) = 72 ft³ . . . . triangular prism volume

The total volume of the given geometry is the sum of the volumes of the parts:

aquarium volume = 288 ft³ +72 ft³ = 360 ft³

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Answer:

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Step-by-step explanation:

We want to determine the distance between the two points (-10, -7) and (-8, 1).

We can use the distance formula. Recall that:

$\displaystyle d = \sqrt{(x_2 - x_1)^2 + (y_2 - y_1)^2}$

Substitute and evaluate:

$\displaystyle \begin{aligned} d &= \sqrt{((-10)-(-8))^2 + ((-7) - (1))^2} \\ \\ &=\sqrt{(-2)^2+(-8)^2} \\ \\ &= \sqrt{(4) + (64)} \\ \\ &= \sqrt{68}\\ \\ &= 2\sqrt{17}\end{aligned}$

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Step-by-step explanation:

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3 years ago

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Step-by-step explanation:

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Answer:

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Step-by-step explanation:

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2 years ago