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7nadin3 [17]
3 years ago
11

What is the surface area of the solid shown below?

Mathematics
1 answer:
Ugo [173]3 years ago
8 0

Answer:

\text{C. }156\:\mathrm{cm^3}

Step-by-step explanation:

The surface area of the triangular prism consists of three rectangles and two triangles.

Rectangle One - 5 x 12 = 60 cm^2

Rectangle Two - 4 x 12 = 48 cm^2

Rectangle Three - 3 x 12 = 36 cm^2

Triangles - 2 x 1/2 x 3 x 4 = 12 cm^2

Thus, the total surface area of the solid is 60+48+36+12=\boxed{\text{C. }156\:\mathrm{cm^3}}

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matrenka [14]
<h3><em><u>Answers With Steps:</u></em></h3><h3>Question 1:</h3>

For the first problem, understand that you are solving for the area of a circle. The equation for the area of a circle is pi r². By using the leash length as the radius (r), you can get the answer. (The leash length is 3 meters long.)

<em>Question 1 Steps:</em>

pi 3² --->  pi * 9 ---> ≈28.27

<em>Question 1 Answer:</em>

It would have about 28.27 meters² of playable space.

<h3>Question 2:</h3>

For the second problem, it would be much the same as to the first question. There is the same objective to find the area of the circle. Along with that, it gives us a length to work with. This time it is the sprinkler's reach, which would be the radius, or "r" in the equation.

<em>Question 2 Steps:</em>

pi 5² ---> pi * 25 ---> ≈78.54

<em>Question 2 Answer:</em>

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4 0
4 years ago
Translate Δ A B C 6 units horizontally. How are the values in the ordered pairs affected by the translation?
snow_tiger [21]

Answer:

The x-coordinates are translated 6 units to the left or right while the y-coordinates are not affected.

Step-by-step explanation:

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The transformation rule for a horizontal translation by k units is

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In this case we have k=6

A(-4,1)\to A'(-4\pm6,1)

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See attachment

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3 years ago
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galben [10]
<span>the additive inverse of 4x is -4x because if you add them together, you get zero. 4x+-4x=0. And the additive incevse of -5 is 5.</span>
6 0
4 years ago
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Step-by-step explanation:

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-5 -7 -2 +2 -3         -15

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          5                     5

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Answer:

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Step-by-step explanation:

Hope that helps

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