Answer
455
Step-by-step explanation:
(1×1) + 1 = 2
(2×2) + 2 = 6
(6×3) + 3 = 21
(21×4)+4 = 88
(88×5)+5 = 445
The statement gives you the function that models the Area as a function of angle theta, and is telling the value of this angle.
Then, you only need to replace the value of the angle in the function, to obtain the requested area.
<span>A(Θ) = 16 sin Θ • (cos Θ + 1).
Θ = 60°
A(</span>60°<span>) = 16 sin(</span><span>60°) * [cos(</span><span>60°) + 1 ] = 16 * (√3) / 2 * [1/2 + 1] = 8(√3) * 3/2 = 12√3 ≈ 20.79
Answer: 20.8 in^2 </span>
Hope this helps! sorry if it is kind of dark
