1) 2x(x+3)
2) 3xy^2(9-4y)
3) 5xy(x^2+2y)
4) 8ab(2a+3b)
5) 4ac^3(3b^2+4c)
definition of parallelogram
∠2
∠3
transitive property of congruence
Answer:
y=6
Step-by-step explanation:
y=3x x=2
y=3(2)
y=6
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
