For this problem, I think there is no need for the details of 12 inches width and 4 inches length. This is because an equation is already given. It was clearly specified that A as a function of θ represents the area of the opening. Then, we are asked to find exactly that: the area of opening. Moreover, the value of θ was also given. Therefore, I am quite sure that the initial details given are for the purpose of red herring only.
So, all we have to do is substitute θ=45° to the function given.
A = 16 sin 45° ⋅ (cos 45° + 1)
The angle 45° is a special angle in trigonometry. So, it would be easy to remember trigonometric functions of this angle. Sine of 45° is equal to √2/2 while cosine of 45° is also √2/2.
A = 16(√2/2) ⋅ (√2/2 + 1)
A = 8+8√2
A = 19.31 square inches
Answer:
False
Step-by-step explanation:
It is not proportional because the distance does increase with the same amount with time.
if Proportional , this would be the tabel
Time distance
1 4
2 5.5
3 7
4 8.5
5 10
If N and A are defined, you multiply the value of N by the value of A.
I think the answer is 99.6. I'm sorry if it's wrong.
2.(6-2)x180
=720
2x+2x+x+115+105+100=720
x=80
3.a)(n-2)x180=3960
n=24
b)3960/24=165
Exterior angle=180-165
=15