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?

Answer 1

here are the answers:

1.2 in2

7.9 in2

16.3 in2

20.8 in2

Answer 2

@gabylovesu

Answer 3

I am thinking D or C

Answer 4

can you show me how

Answer 5

Nevermind I am thinking B

Answer 6

A(45°) = 16sin(45°)(cos(45°) + 1)
   = 16(1/√2)(1 + 1/√2)
   = 16(1/√2)(1 + √2)/√2
   = 16(1 + √2)/2
   = 8 + (√2)/2 in²

Answer 7

that's not one of my answer choices

Answer 8

@gabylovesu

Answer 9

@jdoe0001

Answer 10

@OOOPS

Answer 11

@mathstudent55

Answer 12

@texaschic101

Answer 13

@triciaal

Answer 14

@Catch.me

Answer 15

need pic, can you draw it?

Answer 16

thats all there is

Answer 17

ok, no need anymore, just plug \(\theta =60\) into the function
sin(60) = \(\sqrt3/2\) cos (60)=1/2

Answer 18

that's still not one of the answers

Answer 19

sure, I gave you the way to do, just plug in and hit the keys of calculator to get the answer. It's your duty, not me.

Answer 20

do you know what he's talkin about @gabylovesu

Answer 21

um not sure

Answer 22

ok

Answer 23

@blahhedup101