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2 years ago

Select all of the equations below that are equivalent to:

Mathematics

1 answer:

lisabon 2012 [21]2 years ago

6 0

Answer:

All of them

Step-by-step explanation:

We can start from the top left.

To get from 16 + m to 16 + m - 2 on the left side of the equation, we can subtract 2 from 16 + m. Using the subtraction property of equality, we then must also subtract 2 from the right side. Doing this, we get

16 + m - 2 = 8 - 2

16 + m - 2 = 6

This matches up with the equation given

Next, for the top right equation, we can see that to get from 16 + m to 16 + m - 3, we must subtract 3. We can do this to both sides to get

16 + m - 3 = 8 - 3 = 5

This matches up with the equation

For the bottom left equation, we can subtract 5 from both sides to get

16 + m - 5 = 8 - 5 = 3

This matches up

For the bottom right equation, we can subtract 6 from both sides to et

16 + m - 6 = 8 - 6 = 2

This also matches up

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Answer:

Step-by-step explanation:

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2 years ago

What is the volume of the composite figure? Explain your work. A complete answer should include how you broke up the figure, whi

Sphinxa [80]

Answer:

$15,000\:\mathrm{mm^3}$

Step-by-step explanation:

The composite figure consists of a square prism and a trapezoidal prism. By adding the volume of each, we obtain the volume of the composite figure.

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The volume of a trapezoidal prism is given by $V=\frac{b_1+b_2}{2}\cdot l\cdot h$ , where $b_1$ and $b_2$ are bases of the trapezoid, $l$ is the length of the height of the trapezoid and $h$ is the height. This may look very confusing, but to break it down, we're finding the area of the trapezoid (base) and multiplying it by the height. The area of a trapezoid is given by the average of the bases ( $\frac{b_1+b_2}{2}$ ) multiplied by the trapezoid's height ( $l$ ).