Answer:
3x^2 + 3xy + 6y
Step-by-step explanation:
Out of 8 men, 4 can be selected and lined up in (8 x 7 x 6 x 5) = 1,680 ways.
But within that number, each group of 4 appears in (4 x 3 x 2) = 24 orders.
So there are (1,680 / 24) = 70 different groups of men.
Out of 5 women, 3 can be selected and lined up in (5 x 4 x 3) = 60 ways.
But within that number, each group of 3 appears in (3 x 2) = 6 orders.
So there are (60 / 6) = 10 different groups of women.
Each different group of 70 men can be joined by any of the 10 groups
of women. So the total number of possible subcommittees is (70 x 10) = 700 .
Given:

To find:
The correct equivalent equation.
Solution:
We have,

Taking sin on both sides, we get

![[\because \sin (\sin^{-1}\theta )=\theta]](https://tex.z-dn.net/?f=%5B%5Cbecause%20%5Csin%20%28%5Csin%5E%7B-1%7D%5Ctheta%20%29%3D%5Ctheta%5D)
Interchanging the sides, we get

Therefore, the correct option is 4.
Answer:
≈ 660.5 in²
Step-by-step explanation:
The surface area (A) of a sphere is calculated using the formula
A = 4πr² ← r is the radius
Given diameter = 14. 5 then radius = 7.25, thus
A = 4π × 7.25² = 4π × 52.5625 ≈ 660.5 in²