$21 ,664.30
Hope this helps!
Answer:
Step-by-step explanation:
This question bothers on combination. combination has to do with selection.
If 4 faculty members are chosen from total of 8 faculty members, this can be done in 8C4 number of ways.
8C4 = 8!/(8-4)!4!
8C4 = 8!/4!4!
8C4 = 8*7*6*5*4!/4!*4*3*2
8c4 = 8*7*6*5/24
8C4 = 7*5*2
8C4 =70 ways
Similarly, 5 students are to be selected from a pool of 13 students, this can be done in 13C5 number of ways.
13C5 = 13!/(13-5)!5!
13C5 = 13!/8!5!
13C5 = 13*12*11*10*9*8!/8!*5*4*3*2
13C5 = 13*12*11*10*9/120
13C5 = 1,287 ways
The total number of ways the committee can be formed is 8C4 * 13C5 = 70*1287
The total number of ways the committee can be formed is 90,090 ways
Answer:

Step-by-step explanation:
To find the angle C given the equation
, use the "arctan" function [which is the inverse function of tangent] on both sides of the equation as shown below:

This can be rounded to the nearest degree as: 
Answer:
6rs-(.2rs)
Step-by-step explanation:
Answer:
A) parallel
It has the same slope.
y-intercept is 6.
So,
m = -5
b = + 6
y = -5x + 6
B) perpendicular
It has a negative reciprocal of the slope.
-5 = 1/5
y-intercept is 6
m = 1/5
b = + 6
y = 1/5x + 6