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
Answer:
X and Y = 66.5°.
Step-by-step explanation:
I am assuming that X and Y are the base angles, which are equal in an isosceles triangle.
X = Y = (180 - 47) / 2
= 66.5°.
1 and 2 are 1/4 and 90 degrees
3. 360 degrees and 4/4
4. 180 degrees and 2/4
Answer:
28 is added by -8 equals 20
Step-by-step explanation:
The equation to calculate something added by -8 equals 20 is as follows:
x-8 = 20
x = 20+8
x = 28
28 is added by -8 equals 20
Answer:
(5h-4t)(5h+4t)
Step-by-step explanation:
25h² - 16t²
adding and subtracting 20ht from it (√25 and √16 = 5x4 = 20):
25h² + 20ht - 20ht -16t²
factor:
(5h-4t)(5h+4t)