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4 years ago

A Square has the same

Mathematics

1 answer:

Dvinal [7]4 years ago

3 0

Good morning ☕️

Answer:

Step-by-step explanation:

First, let’s consider this:

P the area of the parallelogram

S the area of the square

x the length of the side of the square

since P = S and S = x² then

on the one hand S = 6×24 = 144

on the other hand S = x²

then

x² = 144

then

x = √(144)

= 12

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Given:

A cylindrical tank has a height of 10 feet.

The radius of the cylindrical tank is 4 feet.

Jane fills the tank with water at a rate of 8 cubic feet per minute.

We need to determine the time it will take for Jane to completely fill the tank without overflowing it.

Volume of the cylinder:

The volume of the cylinder can be determined using the formula,

$V=\pi r^2 h$

Substituting the values, we have;

$V=(3.14)(4)^2(10)$

$V=(3.14)(16)(10)$

$V=502.4$

Thus, the volume of the cylinder is 502.4 cubic feet.

Time taken:

The time taken can be determined using the formula,

$Time = \frac{Volume}{Rate \ of\ filling}$

Substituting the values, we have;

$Time = \frac{502.4}{8}$

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