The area of a trapezoid is A = (a+b/2)(h).
So just plug in your numbers.
Answer:
(a) 4.148 x 10^(12) ways
(b) 5,827,360 ways
Step-by-step explanation:
Number of Demonstrators (D) = 44
Number of Repudiators (R) = 56
(a)
5 senate members must be Repudiators and 5 must be demonstrators, assuming that the order at which they are selected is irrelevant:

(b)
Since there are two different positions, (speaker and vice speaker), order is important in this situation, and the total number of ways to select two senators from each party is:

Answer:
inches or approximately 5.97 inches
Step-by-step explanation:
Use the cone volume formula: V =
r²
The diameter is 8 inches, so the radius will be 4 inches.
Plug in the radius and volume, and solve for h
V =
r²
100 =
(4²)(
)
100 = 16

Divide each side by 16
= 
Cross multiply and solve for h:
4
h = 75
h = 
So, the cone's height is
or approximately 5.97 inches
In order to solve this equation, try to get
the variable by itself. Begin by treating forgetting about 5 in 5a. This makes a/7=25. Multiply 7 and 25 to get 175, then place the 5 back in from of the a. Then divide 175 by 5a and get 35.
x=35
Answer:
.0147058824 OR rounded at the hundredths place is .01