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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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1. What is the value of the y variable in the solution to the following system of equations?
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we have

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7x-5y=-11 ------> equation B

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Multiply by 3 the equation B

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Adds equation C and equation D

-21x+42y=-21 \\21x-15y=-33\\---------- \\ 42y-15y=-21-33\\27y=-54 \\ y=-2

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Part 2)

we have

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Simplify Divide by 2 both sides

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the lines A and B are parallel lines, because the slope m is equal

so

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therefore

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Part 3)

we have

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6x=12

x=2

therefore

<u>the answer part 3) is the option D</u>

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substitute equation A in equation B

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therefore

<u>the answer part 4) is  the option D</u>

y=412

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