The answers are:
P(9, 2) = 72
P(5, 5) = 120
P(7, 7) = 5040
These are examples of permutations. The problems are asking us to find the total number of ways an event can happen.
In the first case, P(9, 2), we are asked to find the ways that 2 things can be chosen out of a group of 9.
9 x 8 = 72
P(5, 5) = 5 x 4 x 3 x 2 x 1
P(7, 7) = 7 x 6 x 5 x 4 x 3 x 2 x 1
I don’t understand if this is a math problem or a statement.
X + y = 40.....multiply by -4
4x + 6y = 180
-------------------
-4x - 4y = -160 (result of multiplying by -4)
4x + 6y = 180
------------------add
2y = 20
y = 20/2
y = 10 <===
x = 30
Answer:
45 dollars
Step-by-step explanation:
Answer:
19.48 m
Step-by-step explanation:
The formula that is used to find arc length is:
arc length = 2πr 
In this question, r = 9m and the angle (θ) = 124°. Substitute the values into the formula.
arc length = 2 × π × 9 ×
= 2 × π × 9 × 0.3444
= 19.48 m