Answer:
A
Step-by-step explanation:
We want to solve the equation:

To do so, we can rewrite the equation.
Recall the double-angle for sine:

By substitution:

Distribute:

We can subtract 3cos(x) from both sides:

And factor:

Hence, our answer is A.
*It is important to note that we should not divide both sides by cos(x) to acquire 10sin(x) = 3. This is because we need to find the values of x, and one or more may result in cos(x) = 0, and we cannot divide by 0. Hence, we should subtract and then factor.
The area of a square is always:
A=s^2 where s=side length, in this case:
A=4^2=16 in^2
The perimeter of a square is always:
P=4s, in this case:
P=4*4=16 in
Answer:
2.92 × 10⁹
Step-by-step explanation:
im not exactly sure if im right but this is what i know, lmk if its wrong
Answer:
A. n = 5
Step-by-step explanation:
S = n² + n
When S = 30:
n² + n = 30
Subtract 30 from both sides: n² + n - 30 = 0
Factorize: (n - 5)(n + 6) = 0
Therefore n = 5 or -6
As n > 2, then n = 5 only