Answer:
(a) , , , , , , .
(b) , , , , , , , .
Step-by-step explanation:
In this exercise we only need to recall the formula for C(n,k):
where the symbol is the factorial and means
.
By convention 0!=1. The most important property of the factorial is , for example 3!=1*2*3=6.
(a) The explanations to the solutions is just the calculations.
- .
(b) The explanations to the solutions is just the calculations.
For all the calculations just recall that 4! =24 and 5!=120.
Answer:
FG = 18
Step-by-step explanation:
FD is an angle bisector and divides the opposite side into segments that are proportional to the other 2 sides, that is
= ( cross- multiply )
54x = 24(x + 10)
54x = 24x + 240 ( subtract 24x from both sides )
30x = 240 ( divide both sides by 30 )
x = 8
Then
FG = x + 10 = 8 + 10 = 18
Answer:
rectagle
Step-by-step explanation:
Answer:
$54
Step-by-step explanation:
An expression for the total cost would be:
1($32) + ($32-$10) = $32 + $22 = $54