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alexira [117]
3 years ago
15

What is the surface area of this design?

Mathematics
2 answers:
Licemer1 [7]3 years ago
8 0

Answer:  The correct option is (C) 197 in².

Step-by-step explanation:  We are given to find the surface area of the design shown in the figure.

We can see that

the design consists of 2 trapezoids and 4 rectangles.

Now, the surface area of the whole design will be the sum of the area of these 6 two-dimensional figures.

Area of 2 trapezoids is given by

A_t=2\times \dfrac{1}{2}\times\textup{sum of parallel sides}\times\textup{height}\\\\\\\Rightarrow A_t=(5+9)\times5\\\\\Rightarrow A_t=70~\textup{in}^2.

And the area of the 4 rectangles is given by

A_r=5\times5+5\times5+5\times6.4+5\times9\\\\\Rightarrow A_r=25+25+32+45\\\\\Rightarrow A_r=127~\textup{in}^2.

Therefore, the total surface area of the given design is

S=A_t+A_r=70+127=197~\textup{in}^2.

Thus, the correct option is (C) 197 in².

Murrr4er [49]3 years ago
7 0
The correct answer is C or 197in squared because the back and top sides are 25. so that is 50. Then the sides are 35. so that is 70. and the front is 32. The bottom is 45. So, 50+70+32+45 is 197in squared.
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Answer:

<em>Diameter Length: ( About ) 5.4 km; Option B</em>

Step-by-step explanation:

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1. We are given that the area of the circle is 22.9 km^2, so let us substitute that value into the area of the circle formula, solving for r ( radius ) ⇒ 22.9 = π * r^2 ⇒ r^2 = 22.9/π ⇒ r^2 = 7.28929639361.... ⇒

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3 years ago
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artcher [175]

To solve for f, you need to isolate/get the variable by itself in the equation:

4(0.5f - 0.25) = 6 + f       Distribute 4 into (0.5f - 0.25)

(4)0.5f + (4)(-0.25) = 6 + f

2f - 1 = 6 + f        Subtract f on both sides to get "f" on one side of the equation

2f - f - 1 = 6 + f - f

f - 1 = 6       Add 1 on both sides to get "f" by itself

f - 1 + 1 = 6 + 1

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PROOF

4(0.5f - 0.25) = 6 + f      Substitute/plug in 7 into "f" since f = 7

4(0.5(7) - 0.25) = 6 + 7

4(3.5 - 0.25) = 13

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