Answer: 20 lawns could be mowed in 35 hours.
Step-by-step explanation: Lets write a ratio to represent this problem. The ratio 7:4 states that for every 7 hours you will mow 4 lawns.
Now we have to figure out how many lawns we will mow in 35 hours. Simply keep adding 7 to the left side of the ratio and 4 to the right side.
7:4
14:8
21:12
28:16
35:20
So in 35 hours, 20 lawns will be mowed.
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 <<<<<
8c-3d is the correct answer
Step-by-step explanation:
Applicants can be filled by equal numbers thus 5 applicants can cover per shift