You can try to use the internet for the answer to some of those questions.
Remark
First of all, we had best correct the labeling. The adjacent is the side making up the unknown angle, and the opposite is the side not making up the given angle (in this case, x)
So you have mixed up the opposite and the adjacent. You need to switch them.
Step Two (Bottom Diagram)
Sin(x) = opposite / hypotenuse
Sin(x) = 12 / 18
Sin(x) = 2/3
Sin(x) = 0.6666666666
x = sin-1(0.66666666)
x = 41.18103
Problem One (Top One)
Sin(x) = opp/hypotenuse
Sin(x) = 4/5
Sin(x) = 0.8
x = sin-1(0.8)
x = 53.13 Answer <<<<<
Answer:
The expression 1.02^(4+n) can be used because 1.02^4 * 1.02^2= 1.02^(4+n) AND this is option C.
Step-by-step explanation:
For 4 + N years = (1 + 2/100)^(4+N)
= 1.02 ^ (4+N)
Remember, that the number of years is increased by N and interest rate remain the same, and n is years, and which is now 4+ N.
59 is a "prime number". It has no factors except ' 1 ' and itself.
So the only possibility is 1 x 59 .