A)
Using the unit circle, for the cos function to be positive, angle A must lie in either <u>quadrant I or quadrant IV</u>
B)
Using the unit circle, If the sine is negative, angle A must lie in either quadrant III or quadrant IV. Since we know that the cosine is positive, this only leaves <u>quadrant IV</u>
<u />
D)
cos = adj/hyp
Using Pythagorean theorem,

b = ±5 (we know its -5 since we know sinA is negative)
this means that the x coord is 12, and the y coord is -5
any proportion of these two numbers would work as an answer
e.g. <u>(12, -5), (24,-10), (12/13, -5/13),</u> are all valid answers
E)
sinA = opp/hyp
<u>sinA = -5/13</u>
tanA = opp/adj
<u>tanA = -5/12</u>
Answer:
t=√
−1
16
h+
25
16
Step-by-step explanation:
The answer to this question is 27/28
Hello!
The answer is:
Luke did a work of 308N.m or 308 Joules.
<h2>
Why?</h2>
When a force is applied on a object making it to move covering a distance we call it "work". The movement caused by the force, will follow the same direction that the force.
We can calculate the work done by using the following equation:

Where,
Work is the transferred energy.
Force, is the force applied to the object.
Distance, is the distance covered due to the applied force.
α, is the angle at the work is done.
We are given the following information to calculate the work done:

So, substituting the given information into the equation to calculate work, we have:

Hence, we have that Luke did a work of 308N.m or 308 Jouls.
Have a nice day!
If a question has four possible answers, and you are strictly guessing regarding which of them is correct, then the chances of your choosing the correct one from the four is 1 in 4, or 0.25.