Answer:
y = 3
Step-by-step explanation:
The side labeled 'y' is the 'adjacent side' of the 30° angle. The hypotenuse of this right triangle is 2√3.
The trig function relating this 30° angle, the 2√3 hypotenuse and the adj. side labeled 'y' is the cosine:
adjacent side y
cos 30° = ---------------------- = --------- , and the value of cos 30° is (√3)/2.
2√3 2√3
Solving for y, we get 2√3 (√3)/2, or y = 2(3)/2, or y = 3
The first thing you should do in this case is to find each of the inequalities that model the problem:
He earns at least three dollars per day, but no more than seventeen dollars per day.
In a given week he has worked at least two days, but no more than five:
Minimum amount of money:
(2) * (3) = 6 $
Maximum amount of money:
(5) * (17) = 85 $
The inequality sought is then:
6≤M≤85
answer
an inequality that models how much money (M) Jimmy makes per week is
6≤M≤85
(1/6)(36/100)<4 - (2/10)
6/100 < 38/10
3/50 < 190/50
true
Simplify the left side
4c+9=37
Move all terms NOT containing C to the right side of the equation
4c=28
Divide each term by 4 and simplify
28 divided by 4
Answer
C=7