Answer:
When working in trigonometry, you typically measure angles in <u>radians</u>.
Answer:
Part A: Option A
Part B: Option C
Step-by-step explanation:
Given two points (7, 5) and (21, 15)
we have to find the slope of the line passing through above two points.
The slope of line can be calculated as


Option A is correct.
Part B: Also given another line with a slope that is one-third that of the slope of above and passes through the origin and the point
we have to find the point.

The equation of line becomes



The point which satisfies the above equation passes through the line.
Not satisfied
Not satisfied
Satisfied
Not satisfied
Hence, the line passes through the point (21, 5)
Option C is correct.
Answer:
73.4
Step-by-step explanation:
-Given that 75,511 out of 822,959 residents enrolled in the college, the probability of success is calculated as:

#We know that this is a binomial distribution with p=0.09176 and n=800, Expected value is calculated as:

Hence the expected value E(X)=73.4
Trapezoid
Sides are congruent based on single hash marks on each.
Set equations equal to each other and solve.
5x - 1 = 3x + 5
Subtract 3x from both sides.
2x - 1 = 5
Add 1 to both sides.
2x = 6
Divide both sides by 2.
x = 3
Since the slope of a perpendicular line is facing the opposite angle and intersecting the given line, the slope is going to be the opposite of the given line.
Therefore, the answer is 3.
Best of Luck!