Answer:
<h2>C. <em>
20,160</em></h2>
Step-by-step explanation:
This question bothers on permutation since we are to select a some people out of a group of people and then arrange in a straight line. If r object are to be arranged in a straight line when selecting them from n pool of objects. This can be done in nPr number of ways.
nPr = n!/(n-r)!
Selection of 6 people out of 8 people can therefore be done in 8C6 number of ways.
8P6 = 8!/(8-6)!
8P6 = 8!/2!
8P6 = 8*7*6*5*4*3*2!/2!
8P6 = 8*7*6*5*4*3
8P6 = 56*360
8P6 = 20,160
<em>Hence this can be done in 20,160 number of ways</em>
We have a system of equations in two variables, namely, a and c. Use the substitution to find a and c.
B = √(14² - 9²) = √(196-81) = √115 ≈ 10.7 units
The answer would be
4.41
my work is in the image below
hope this helps :)
Answer: x = 3/4 x = -5
Step-by-step explanation:
x+5=0
x=-5
4x-3=0
Add three to both sides
4x = 3
x=3/4