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ioda
3 years ago
11

HELP! What is the volume in cubic inches of the solid figure, rounded to the nearest cubic inch?

Mathematics
1 answer:
Setler [38]3 years ago
8 0

Answer:

Volume of the solid figure = 1131 cubic inches

Step-by-step explanation:

Volume of solid figure = Volume of half cylindrical prism + Volume of the rectangular prism

Volume of half cylindrical prism = \frac{1}{2}(\pi r^2h)

                                                     = (\frac{1}{2})(\pi )(17-11)^2(6)

                                                     = 339.29 cubic inch.

Volume of the rectangular prism = (length × width × height)

                                                      = 11 × 6 × 12

                                                      = 792 cubic inches

Volume of the solid figure = 339.29 + 792

                                            = 1131.29

                                            ≈ 1131 cubic inches

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A 50% sucrose solution lost 255 mL by evaporation. After evaporation what is the sucrose concentration in the remaining 300 mL?
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Answer: 92.50%

From the given problem, we can say that the total volume of the concentration is:

255\text{ mL}+300\text{ mL}=555\text{ mL}

The initial volume of the solution is 555 mL. After the evaporation, the 50% sucrose solution lost 255 mL.

To find the concentration of the remaining 300 mL, we will use the following formula:

C_1V_1=C_2V_2

Where:

C₁ = initial concentration

C₂ = final concentration

V₁ = initial volume

V₂ = final volume

From the given, we know that:

C₁ = 50% = 0.50

C₂ = ?

V₁ = 555 mL

V₂ = 300 mL

Substitute these to the formula and we will get:

\begin{gathered} C_{1}V_{1}=C_{2}V_{2} \\ (0.50)(555)=C_2(300) \\ C_2=\frac{(0.50)(555)}{(300)} \\ C_2=0.925=92.50\% \end{gathered}

Therefore, we can say that the sucrose concentration in the remaining 300mL is 92.50%

5 0
2 years ago
Which numbers are a distance of 4 units from 7 on the number line?
gayaneshka [121]

On the number line, 3 and 11 are the numbers that are a distance of 4 units from 7..

On there are two types of numbers one is a positive and the other is a negative number. These two are separated by the number zero which is known as the origin. Positive numbers are on the right side of the origin and negative numbers are on the left side of the origin on the number line.

We have been asked the numbers which are a distance of 4 units from 7 on the number line.

For that, we will first add 4 to the number 7, that is,

                            4 + 7 = 11

Thus, number 11 is a distance of 4 units from 7 on the number line if we move to the right side from 7.

Now we will subtract 4 from the 7 we will get,

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Thus, Number 3 is a distance of 4 units from 7 on the number line if we move to the left side from 7.

Hence 3 and 11 are the numbers that are a distance of 4 units from 7 on the number line.

Learn more about the number line here: brainly.com/question/77754

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MrRa [10]

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