Answer:
If there are 5 persons and at a time only 3 can be arranged, the total number of arrangements is 60
Option C is correct
Step-by-step explanation:
There are 5 persons and at a time only 3 can be arranged.
The total number of arrangements = nPr = n!/(n-r)!
Here n = 5 and r = 3
nPr = n!/(n-r)!
nPr = 5!(5-3)!
nPr = 5!/2!
nPr = 5*4*3*2!/2!
nPr = 5*4*3
nPr = 60
So, if there are 5 persons and at a time only 3 can be arranged, the total number of arrangements is 60
Option C is correct.
2x+2 would be the expression
Try this: Principal times (1+interest rate as a decimal fraction)^(number of yrs)
In this case, Principal = $28,000; interest rate = -0.25; # of years = 1
So Decrease in value = $28,000 (0.75)^1 = $21,000.
Consider the right triangle HBF. The Pythagorean theorem tells you ...
HF² = HB² + BF²
The lengths HB and BF can be determined by counting grid squares, or by subtracting coordinates. Here, it is fairly convenient to count grid squares. When we do that, we find ...
HB = 2
BF = 5
Using these values in the equation above, we get
HF² = 2² + 5²
HF² = 4 + 25 = 29
Taking the square root gives the length HF.
HF = √29
Answer:
64
Step-by-step explanation:
It’s directly adjacent to the other angle.