Answer:
x = 73.3
y = 46.2
Step-by-step explanation:
Reference angle (θ) = 39°
Adjacent = 57
Hypotenuse = x
Opposite = y
Recall: SOHCAHTOA
✔️To find x, apply CAH:
Cos θ = Adjacent/Hypotenuse
Plug in the values
Cos 39° = 57/x
x × Cos 39° = 57
x = 57/Cos 39°
x = 73.3 (nearest tenth)
✔️To find x, apply TOA:
Tan θ = Opposite/Adjacent
Plug in the values
Tan 39° = y/57
57 × Tan 39° = y
y = 46.2 (nearest tenth)
The rate of change is also known as the slope. The formula to find the slope of a line is (y2 - y1) / (x2 - x1).
You can use any two points, as long as both are on the line.
Point 1 = (2, 55)
Point 2 = (8, 220)
slope = (220 - 55) / (8 - 2)
slope = 165 / 6
slope = 55 / 2 = 27.5 / 1
Lavaughn earns $27.50 for working one hour.
Hope this helps!
D. multiplying by .6 is what you always have left.
The bottom right should be your answer
(a value of x cannot have two different values of y)
=(y2-3y-5)-(-y2-7y+4)
=y2-3y-5+y2+7y-4
=2y2+4y-9
Hope this helps! :)