18. The shape is only shifted to a different location and orientation but remains the same size so this is congruent.
19 and 20 are both scaled to a different size so they are both similar.
Answer:
V = 576 pi cm^3
Step-by-step explanation:
The volume of a cylinder is given by
V = pi r^2 h where r is the radius and h is the height
V = pi * (6)^2 * 16
V = pi *36*16
V = 576 pi cm^3
Answer:
There are 4 possibilities
Step-by-step explanation
Each customer has 2 ways to receive the money. For each way, the other customer has 2 option, giving a total of 2*2 = 4. Here are the possibilities, separating in 2 different cases.
Case 1: customer 1 withdraws 2 $20 bills
option 1.1: customer 1 withdraws 2 $20 bills AND customer 2 withdraws 2 $20 bills
option 1.2: customer 1 withdraws 2 $20 bills AND customer 2 withdraws 4 $10 bills
Case 2: customer 1 withdraws 4 $10 bills
option 2.1: customer 1 withdraws 4 $10 bills AND customer 2 withdraws 2 $20 bills
option 2.2: customer 1 withdraws 4 $10 bills AND customer 2 withdraws 4 $10 bills
options 1.1, 1.2, 2.1 and 2.2 give us a total of four ways for the customers to retrieve thier money.
By the fundamental theorem of calculus,