Answer:
x = 36.87 degrees.
Step-by-step explanation:
4 cos x + 3 sin x = 5
Use the Auxiliary angle method:
R sin (α + x) = R sin α cos x + R cos α sin x
Comparing coefficients:
R sin α = 4 and R cos α = 3
R sin α / R cos α = 4/3
So tan α = 4/3
α = 53,13 degrees.
Now R^2(sin^2 α + cos^2 α ) = 3^2 + 4^2 = 25
R^2 = 25
R = 5.
R sin (x + 53.13) = 5
5 sin ( x + 53.13) = 5
sin (x + 53.13) = 1
x + 53.13 = 90
x = 36.87 degrees.
Compensation per hour: 20,90 / 2,75 = 7,6$
In 7 1/4 hours he will make:
7,6 * 7,25 = 55,1$
m = −3/4 is the correct answer. Hope this helps!
I'm pretty sure this is a joke. But its 7 LOL
I am sorry I have no idea what are you talking about