Answer:
x=22, y=45
Step-by-step explanation:
y=45 by definition (180-90)/2
180 = 46 + 2x
x = 22
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:
56
Step-by-step explanation:
2 times 4 = 8
area of a triangle = b/2
so
8 * 12 = 96
96/2 = 48
48 plus 8 = 56
11.25
Convert 15% to decimal of 0.15
Then multiply 0.15 by 75 to get 11.25
