Question

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

Answer 1

i saw this, and cried a little.

Answer 2

I do that for every math problem...

Answer 3

Thats how i feel alot ;-;

Answer 4

I'm so sorry. :(

Answer 5

Good news, they used a lot of words that they didn't need, it's a simple plug in problem

Answer 6

Is it? ;c

Answer 7

Yes indeed.

Answer 8

The question is to find the area when the angle is 60. But they give us the formula to calculate the area in the previous sentence!

Answer 9

A(Θ) = 16 sin Θ • (cos Θ + 1) plug in Θ = 60* or pi/3 radians and solve!

Answer 10

SOOOO. Wait a second,

Answer 11

A(t) = 16 sin t ( cos t + 1) when t = pi/3

Answer 12

OOO. Wait, how am i supposed to solve that. ;-;..

Answer 13

Well, its using function notation, let me make it easier to interpret, they mean:

Area = 16 sin(pi/3) ( cos(pi/3) + 1) that's all

Answer 14

you only need to calculate the right hand side

Answer 15

Oh. So. Like.... We convvert cos(pi/3) into Sqrt3/2?

Answer 16

well, cos(pi/3) is 1/2, but yeah, that's the idea. :)

Answer 17

OH. I Was close.

Answer 18

:)

Answer 19

So. 1/2+1?

Answer 20

on the inside of the parentheses good

Answer 21

1.5? I Think. im doing this mentally.

Answer 22

Yes, we have 16 sin(pi/3) * 1.5 so far.

Answer 23

Oh Gawd. ;-;

Answer 24

Want me to multiply them out on a calculator for you? :)

Answer 25

Please c:

Answer 26

20.78

Answer 27

SO ITS D ;O

Answer 28

YES!

Answer 29

Omggg One MOREEEEEE.

Answer 30

Almost there!