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k0ka [10]
4 years ago
9

The volume of a cube is 3375 cubic inches. what is the measure of each side of the cube

Mathematics
1 answer:
OlgaM077 [116]4 years ago
6 0

Answer:

The measure of each side of the cube is

<h2>15 inches</h2>

Step-by-step explanation:

Since it's a cube all it's sides are equal

To find the length of each side we use the formula

Volume of a cube = l³

where l is the measure of one side

From the question

Volume = 3375 cubic inches

Substitute this value into the formula and solve for l

That's

<h3>{l}^{3}  = 3375</h3>

Find the cube root of both sides

That's

<h3>\sqrt[3]{ {l}^{3} }  =  \sqrt[3]{3375}</h3>

We have the final answer as

<h3>l = 15 inches</h3>

Hope this helps you

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Question 5 Multiple Choice Worth 1 points) (04.05 MC) Determine if the ordered pair (-1 , -5) is a solution to the inequality y≤
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Answer:

(-1, -5) satisfies the inequality and will be the solution to the inequality.

From the attached figure, it is clear that  (-1, -5) is below the line.

Therefore, the correct option is:

''Yes, because 1-1, 5) is on the line​''.

Step-by-step explanation:

Given the inequality

y\le -\frac{3}{4}x-1

substituting (-1, -5)  to check whether it satisfies the inequality or not

-5\le \:-\frac{3}{4}\left(-1\right)-1

-5\:\le \:\frac{3}{4}-1

-5\:\le -\frac{1}{4}

TRUE

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Therefore, the correct option is:

''Yes, because 1-1, 5) is on the line​''.

4 0
3 years ago
Find the measure of angle x. Round your answer to the nearest hundredth. (please type the numerical answer only)
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I need to know if it’s A B C OR D
Liula [17]

SOLUTION

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hence

\angle NMP+\angle NOP=180^0

Recall that

\begin{gathered} \angle NMP=\angle M=(8x-24)^0 \\ \text{and } \\ \angle NOP=\angle O=(4x)^0 \end{gathered}

Hnece, we have that

\begin{gathered} \angle M+\angle O=180^0(opposite\text{ angles of a cyclic quadrilateral)} \\ (8x-24)^0+4x^0=180^0 \end{gathered}

Then

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x=17

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