We have to calculate the length of the missing side.
Use the Pythagorean theorem:

$a^2+32^2=58^2\\\\a^2+1024=3364\ \ \ |-1024\\\\a^2=2340\to a=\sqrt{2340}\\\\a=\sqrt{36\cdot65}\\\\a=6\sqrt{65}$

$\cos x=\dfrac{6\sqrt{65}}{58}=\dfrac{3\sqrt{65}}{29}$

I think. Your answers to choice are wrong.

8 0

3 years ago

The first term of a geometric sequence is −2 and the common ratio is 3. What is the fourth term of the sequence?

Nat2105 [25]

Answer: -54

Step-by-step explanation:

The question is the first term of a geometric sequence is −2 and the common ratio is 3. The formula for finding the nth term of a geometric sequence is: ar^n-1

where,

a = first term = -2

r = common ratio = 3

n = number of terms = 4

The solution has been attached. The answer is -54

5 0

3 years ago