Answer/Step-by-step explanation:
There are actually two methods that can be used to calculate AC (x):
1. Using Pythagorean Theorem
2. Using Trigonometric Function
1. Using Pythagorean Theorem, we have:
x = √(15² + 20²)
x = √625
x = 25 units
2. Using Trigonometric Function:
Reference angle = 37°
Adjacent = 20
Opposite = 15
Hypotenuse = x
Apply SOH:
Sin 37 = Opp/Hyp
Sin 37 = 15/x
x × Sin 37 = 15
x = 15/sin 37
x = 24.9246021 ≈ 25 units (nearest whole number)
Exterior angle = 180 - 144 = 36 degrees
Number of sides = 360 / 36 = 10 sides (answer)
Set the equations equal to each other and solve for x (x being the number of boats)
105+9.50x=14.75x
Subtract the 9.50x from both sides
105=5.25x
Divide by 5.25
20=x
So a member and a nonmember have to rent a boat 20 times in order to pay the same amount of money
the blue dot on the number of line is -11.3
Answer:
Leo
Step-by-step explanation: