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BlackZzzverrR [31]
1 year ago
6

one of the fastest cars in the world was recently measured covering 5726 meters in 50 seconds what is the unit rate of speed of

this car in meters per seacond
Mathematics
1 answer:
IRISSAK [1]1 year ago
5 0

ANSWER

114.52 meters per second

EXPLANATION

We have that the car covers a distance of 5726 meters in 50 seconds.

To find the speed, we have to use the formula for speed which is:

\text{Speed = }\frac{dis\tan ce}{time}

So, the unit rate of speed of the car is:

\begin{gathered} \text{Speed = }\frac{5726}{50} \\ \text{Speed = 114.52 meters per second} \end{gathered}

That is the unit rate of speed of the car in meters per second.

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A prism with a base area of 8 cm² and a height of 6 cm is dilated by a factor of 54 . What is the volume of the dilated prism? E
Aliun [14]

Question:

A prism with a base area of 8 cm² and a height of 6 cm is dilated by a factor of 5/4 .

What is the volume of the dilated prism?

Enter your answer, as a decimal, in the box.

Answer:

The volume of the dilated prism is 93.75 \ {cm}^{3}

Explanation:

A prism with a base area of 8 cm² and a height of 6 cm

The volume of the prism can be determined by the formula, V=Bh

Volume of the prism is given by

V=Bh

V=(8)(6)

V=46\ cm^3

Thus, the volume of the prism is 46 \ {cm}^{3}

It is also given that the volume of the dilated prism is dilated by a factor of \frac{5}{4}

Hence, the new volume is given by

Volume = 48(\frac{5}{4} )^3

             =48(\frac{125}{64} )

             =48(1.953125)

             =93.75 \ {cm}^{3}

Thus, the volume of the dilated prism is 93.75 \ {cm}^{3}

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