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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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$\bf \begin{cases}
r=\textit{rate of the plane}\\
w=\textit{rate of the wind}\\
\end{cases}
\\\\

\begin{array}{ccccllll}
&distance&rate&time(hrs)\\
&\textendash\textendash\textendash\textendash\textendash\textendash&\textendash\textendash\textendash\textendash\textendash\textendash&\textendash\textendash\textendash\textendash\textendash\textendash\textendash\textendash\textendash\\
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\end{array}
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$\bf thus \begin{cases}
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\\\\
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--------------\\
630=(r+w)\frac{3}{2}\implies 630\cdot \frac{2}{3}=r+w\\
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--------------\\
thus\\
--------------\\
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\\\\
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\end{cases}
$

solve for "w", to find the wind's speed rate,

so hmmm what's the plane's rate? well 420 - w = r :)

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