<h3>
Answer: Choice B</h3>
Explanation:
Cosine is positive in quadrants I and IV, but quadrant IV isn't shaded in so we can rule out choice A.
Sine is positive in quadrants I and II. So far it looks like choice B could work. In fact, it's the answer because sin(pi/6) = 1/2 and sin(5pi/6) = 1/2. So if 0 ≤ sin(x) < 1/2, then we'd shade the region between theta = 0 and theta = pi/6; as well as the region from theta = 5pi/6 to theta = pi.
Choice C is ruled out because tangent is positive in quadrants I and III, but quadrant III isn't shaded.
Choice D is ruled out for similar reasoning as choice A. Recall that 
Answer:
D.
Step-by-step explanation:
According to the Exterior Angle Theorem, the exterior angle is equal to the sum of the interior angles opposite from the exterior angle. In other words:
Solve for <em>x</em>. Therefore:
Our answer is D.
Answer:
(x - 4)³
Step-by-step explanation:
"The cube of x" would be x³. The difference of a number and 4 would be x - 4.
Therefore, "the cube of the difference of a number and 4" would be
(x - 4)³
For #16, every input by +1 has an output of +7.
9 + 7 = 16
16 + 7 = 23
23 + 7 = 30.....
Answer:
1.30 p.M.
Step-by-step explanation:
The factory whistle blowed at 1:00 p.M, and it blows every 30 minutes, so it will blow again at 1:30 p.M.
The clock tower chimed at 1.00 p.M., and it chimes every 15 minutes, so it will chime again at 1:15 p.M, and after that, it will chime again at 1:30 p.M.
So, you will hear them both at the same time at 1:30 p.M.
We can also solve this problem using LCM:
the least commom multiple between 15 and 30 is 30, so we just need to sum 30 to the inicial time (1:00 p.M.), so the time they will "find each other" again is 1.30 p.M.
