Answer:
The length of the sloping section of the ramp is 20.12 m
Step-by-step explanation:
Given;
the total height of the bank, h = 2.8 m
The slope of the ramp must be 8° to the horizontal, i.e, θ = 8°
Let the length of the sloping section = L
let the horizontal distance between the height of the bank and sloping section = b
Thus, h, L and b forms three sides of a right angled-triangle, with L as the hypotenuse side, h (height of the triangle) as the opposite side and b (base of the triangle) as the adjacent side.
We determine L by applying the following formula;
Sinθ = opposite / hypotenuse
Sin θ = h / L
L = h / Sin θ
L = 2.8 / Sin 8
L = 2.8 / 0.13917
L = 20.12 m
Therefore, the length of the sloping section of the ramp is 20.12 m
Answer:
The rate of change of water in the pool is 400 gallons / hour
Step-by-step explanation:
We are given
At 6:00 AM:
there were 400 gallons of water in the pool
so,
At 11:00 AM:
there were 2400 gallons of water in the pool
so,
now, we can find time between
t=11-6=5 hours
now, we can use formula
rate of change of water in pool is
=( change in water quantity)/( total time)
so, we get
now, we can plug values
So,
The rate of change of water in the pool is 400 gallons / hour
Answer:
The slope, a, of the inverse function is 3 , and the x-intercept of the inverse function is at x = -2
Step-by-step explanation:
Step-by-step explanation:
The cost of one song is 2.56/2
= 1.28
