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3 years ago

A rectangular swimming pool is 19 meters long, 13 1 2 meters wide, and 1 1 2 meters deep. What is its volume?

Mathematics

1 answer:

Whitepunk [10]3 years ago

8 0

Answer:

The volume of the rectangular swimming pool is $384.75\ m^{3}$ or $384\frac{3}{4}\ m^{3}$

Step-by-step explanation:

we know that

The volume of the rectangular swimming pool is equal to

$V=LWH$

we have

$L=19\ m$

$W=13\frac{1}{2}\ m=\frac{13*2+1}{2}=\frac{27}{2}\ m$

$H=1\frac{1}{2}\ m=\frac{1*2+1}{2}=\frac{3}{2}\ m$

substitute

$V=(19)(\frac{27}{2})(\frac{3}{2})$

$V=\frac{1,539}{4}=384.75\ m^{3}$

Convert to mixed number

$384.75=384\frac{3}{4}\ m^{3}$

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3 years ago

6. Solve the the following system of equations: 4y+2x=14 2y+2x=10

Inessa05 [86]

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3 years ago

Which of the following is a solution to the following system of inequalities?

iren2701 [21]

Option D: $(0,3)$ is the solution to the inequalities.

Explanation:

From the given graph, we can see that the equation of the inequalities are

$y>-x+1$ and $y\leq 2 x+3$

To determine the coordinate that satisfies the inequality, let us substitute the coordinates in both of the inequalities $y>-x+1$ and $$y$

Thus, we have,

Option A: $(1,-1)$

Substituting the coordinates in $y>-x+1$ and $y\leq 2 x+3$ , we get,

$y>-x+1\implies-1>0$ is not true.

$$y\leq 2 x+3 \implies -1\leq 5$ is true.

Since, only one equation satisfies the condition, the coordinate $(1,-1)$ is not a solution.

Hence, Option A is not the correct answer.

Option B: $(-4,0)$

Substituting the coordinates in $y>-x+1$ and $y\leq 2 x+3$ , we get,

$y>-x+1\implies0>5$ is not true.

$$y\leq 2 x+3 \implies 0\leq -5$ is not true.

Since, both the equations does not satisfy the condition, the coordinate $(-4,0)$ is not a solution.

Hence, Option B is not the correct answer.

Option C: $(3,-2)$

Substituting the coordinates in $y>-x+1$ and $y\leq 2 x+3$ , we get,

$y>-x+1\implies-2>-2$ is not true.

$$y\leq 2 x+3 \implies -2\leq 9$ is true.

Since, only one equation satisfies the condition, the coordinate $(3,-2)$ is not a solution.

Hence, Option C is not the correct answer.

Option D: $(0,3)$

Substituting the coordinates in $y>-x+1$ and $y\leq 2 x+3$ , we get,

$y>-x+1\implies3>1$ is true.

$$y\leq 2 x+3 \implies 3\leq 3$ is true.

Since, both equation satisfies the condition, the coordinate $(0,3)$ is a solution.

Hence, Option D is the correct answer.

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3 years ago

If 596 people voted in the election, how many were over 65 years old?

damaskus [11]

596 x 25% = 149

This implies 149 persons over the age of 65 voted.

I hope this helps.

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2 years ago

Read 2 more answers