Your question does not say what were your options, therefore I will answer generically: in order to understand if a point (ordered pair) is contained in a line, you need to substitute the x-component of the pair in the equation of the line and see if the calculations give you the y-component of the pair.
Example:
Your line is <span> y = 4/3x + 1/3
Let's see if <span>(0, 0) and (2, 3) </span>belong to this line
y</span> = <span>4/3·0 + 1/3 = 1/3 </span>≠ 0
Therefore, the line does not contain (0, 0)
y = 4/3·2 + 1/3 = 9/3 = 3
Therefore, the line contains (2, 3)
To solve this we can take two different approaches:
1. We can substitute theta by 30° and evaluate our expression using a calculator:


2. We can use the unitary circle and the fact that

, so we can rewrite our expression as follows:



From our unitary circle we can check that

and

.
Lets replace those values in our expression and simplify:



Either way we can conclude that the correct answer is:
D)8.7
Answer:
J Darren earns $17.35 per hour at his job. How many hours does he need to work in order to earn more than $624.60?
Step-by-step explanation:
You're looking for a situation in which the number 17.35 needs to be multiplied by an unknown quantity.
Scenarios F and G involve addition of 17.35 to something.
Scenario H would correspond to the inequality ...
17.65x < 624.60
The sign of the given inequality is >, so scenario H is not the one.
__
In scenario J, Darren's total earnings for x hours will be 17.35x, and we want to find x such that this total is greater than 624.60. This matches the given inequality:
17.35x > 624.60 . . . . . . answer choice J