Answer:
y=-2x+5
Step-by-step explanation:
Use the equation y=mx+b
We can find the b(y-intercept) by looking at the graph
The graph crosses the y-axis at (0,5)
We can look at the slope at the graph. We can see its down 4 over 2 so the slope is -2.
Plug that into the equation y=mx+b
y=-2x+5
One equation that you could make is 5+2-(-3)
Let L represent lower level tickets and U upper level.
Starter equations:
L + U = 2368
78L + 59U = 157800
Solve simultaneous equations:
59L + 59U = 139712
so 19L = 18088
L = 952
U = 2368 - 952 = 1416
952 lower level tickets and 1416 upper level tickets were sold.
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
