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:

Step-by-step explanation:
Given:
Fifth term of a geometric sequence = 
Common ratio (r) = ¼
Required:
Formula for the nth term of the geometric sequence
Solution:
Step 1: find the first term of the sequence
Formula for nth term of a geometric sequence =
, where:
a = first term
r = common ratio = ¼
Thus, we are given the 5th term to be ¹/16, so n here = 5.
Input all these values into the formula to find a, the first term.




Cross multiply

Divide both sides by 16



Step 2: input the value of a and r to find the nth term formula of the sequence
nth term = 
nth term = 

WEEKLY Earning Full time = 40 h x $15 = $600/week
Over time = 3 h 25 min or 3h + 25/60 h
WEEKLY Earning Over time = (3 h)x $30 + (25/60) x $30 = $115
TOTAL WEEKLY INCLUDING OVERTIME: = $715
TOTAL SEMI MONTHLY INCLUDING OVERTIME =$715 X2 = $1,430
BIWEEKLY = SEMI MONTHLY = $1,430
TOTAL MONTHLY INCLUDING OVERTIME =$715 x 4 = $2,860
Answer:
y=3x
Step-by-step explanation:
The slope of this graph is 3.