Answer:
∠U = 56.4
Step-by-step explanation:
We can use trigonometric functions to solve this
Here we are given the opposite side of ∠U as well as the adjacent side.
When dealing with the adjacent and opposite side we use sin
Sin = Opposite side / Adjacent side
Opp = 5 and adj = 6
So
Sin(U) = 5/6
* take the inverse sine of both sides *
arc(sin)(u) = u
arcsin(5/6) = 56.4 *( rounded to the nearest tenth )
∠U = 56.4
Given:
f(x) = 70n - 400 : equation for monthly profit.
n = number of students enrolled in the guitar class.
70 refers to the amount charged per student.
400 is the fixed expense made by the instructor.
For the instructor to have a profit, the product of 70n must be more than 400.
400/70 = 5.7 or 6
There must be at least 6 students enrolled in class for the instructor to generate profit.
f(x) = 70(6) - 400 = 420 - 400 = 20
1000 = 70n - 400
1000 + 400 = 70n
1400 = 70n
1400/70 = n
20 = n
There must be 20 students enrolled in class for the instructor to earn 1000 in profit.
1000 = 70(20) - 400
1000 = 1400 - 400
1000 = 1000
(2200 rev/min) x (360 deg/rev) x ( min/60 sec) = 13,200 degrees per second
(2200 rev/min) x (2 pi radians/rev) x (min / 60 sec) = <u>73 and 1/3 pi</u> radians/sec
