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VashaNatasha [74]
3 years ago
6

A rain gutter is to be constructed of aluminum sheets 12 inches wide. After marking off a length of 4 inches from each edge, thi

s length is bent up at an angle Θ. The area A of the opening may be expressed as the function: A(Θ) = 16 sin Θ • (cos Θ + 1). If Θ = 60°, what is the area of the opening?
1.2 in2

7.9 in2

16.3 in2

20.8 in2
Mathematics
1 answer:
nikklg [1K]3 years ago
4 0
The statement gives you the function that models the Area as a function of angle theta, and is telling the value of this angle.

Then, you only need to replace the value of the angle in the function, to obtain the requested area.

<span>A(Θ) = 16 sin Θ • (cos Θ + 1).

Θ = 60°

A(</span>60°<span>) = 16 sin(</span><span>60°) * [cos(</span><span>60°) + 1 ] = 16 * (√3) / 2 * [1/2 + 1] = 8(√3) * 3/2 = 12√3 ≈ 20.79

 Answer: 20.8 in^2 </span>





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Solve for x.<br> -6x = -18
marta [7]

Answer:

3

Step-by-step explanation:

The goal is to get the x to be on one side of the equation on its own.

-6x = -18

To get rid of the -6, we would have to do the opposite of what it's doing in the equation - in this case, we would divide, as it's the opposite of multiplying.

What we do to one side of the equation, we have to do to the other.

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Hope that makes sense!

3 0
3 years ago
Read 2 more answers
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notka56 [123]
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5 0
3 years ago
If a triangle has sides 4, 6 and 10 and a 2nd similar triangle has a perimeter of 60, find the 2nd largest side of the 2nd trian
algol13
The first triangle has a perimeter of 4+6+10 = 20.

The 2nd longest side is 6/20 = 3/10 of the perimeter. In the larger triangle, the 2nd longest side will have length (3/10)*60 = 18.


_____
These side lengths mean the "triangle" is a line segment. That is, it has zero area.
8 0
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8 0
3 years ago
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