Bearing in mind that

I can make this much from that, check the picture below.
Answer:
120
Step-by-step explanation:
The number of friends is 5 and there are 5 seats only. So , we can find it out with the help of permutations ,
⇒ 5! / (5-5)!
⇒ 5! / 1!
⇒ 5!
⇒ 5 × 4 × 3 × 2 × 1
⇒ 120
<h3>
<u>Hence </u><u>there</u><u> </u><u>are</u><u> </u><u>1</u><u>2</u><u>0</u><u> </u><u>ways</u><u> </u><u>by</u><u> </u><u>which </u><u> 5 friends sit together at the movies in 5 seats</u><u>. </u></h3>
Tan = opp/adj
Tan A = 16/12
Answer:
Tn = 64-4n
Step-by-step explanation:
The nth term of an AP is expressed as:
Tn = a+(n-1)d
a is the common difference
n is the number of terms
d is the common difference
Given the 6th term a6 = 40
T6 = a+(6-1)d
T6 = a+5d
40 = a+5d ... (1)
Given the 20th term a20 = -16
T20 = a+(20-1)d
T20 = a+19d
-16 = a+19d... (2)
Solving both equation simultaneously
40 = a+5d
-16 = a+19d
Subtracting both equation
40-(-16) = 5d-19d
56 = -14d
d = 56/-14
d = -4
Substituting d = -4 into equation
a+5d = 40
a+5(-4) = 40
a-20 = 40
a = 20+40
a = 60
Given a = 60, d = -4, to get the nth term of the sequence:
Tn = a+(n-1)d
Tn = 60+(n-1)(-4)
Tn = 60+(-4n+4)
Tn = 60-4n+4
Tn = 64-4n
Answer:
B) 2
Step-by-step explanation:
There are 2 points of intersection