Using the Fundamental Counting Theorem, it is found that there are 416,520 ways to fill out a lottery ticket.
<h3>What is the Fundamental Counting Theorem?</h3>
It is a theorem that states that if there are n things, each with 
ways to be done, each thing independent of the other, the number of ways they can be done is:
In this problem:
- First, one uppercase or lowercase letter is chosen, there are 26 of each, hence
.
- Then, two different two-digit numbers are chosen, and there are 90 of them, hence
, as the third digit has to be different of the second.
Then:
There are 416,520 ways to fill out a lottery ticket.
To learn more about the Fundamental Counting Theorem, you can take a look at brainly.com/question/24314866
Answer:
189.3 square inches, 55.7 inches
Step-by-step explanation:
Area = area of rectangle + area of semicircle
area of rectange = 10 * 15 = 150 square inches
radius of semicircle = 10/2 = 5
area of circle = (pi * 5^2)/2 = 12.5pi square inches
total area = 150 + 12.5pi = 189.3 square inches
total perimeter = perimeter of rectangle - left side + perimeter of semicircle
perimeter of rectangle = 10 + 15 + 15 = 40 inches
perimeter of semicircle = 10pi/2 = 5pi inches
total perimeter = 40 + 5pi = 55.7 inches
Answer:
6. 113.1
8. 63.62
Step-by-step explanation:
6. Circle area = π * r² = π * 36 [inch²] ≈ 113.1 [in²]
π ≈ 3.14159265 ≈ 3.14
d = r * 2 = 6 [inch] * 2 = 12 [inch]
8. Circle area = π * r² = π * 20.25 [inch²] ≈ 63.62 [in²]
π ≈ 3.14159265 ≈ 3.14
d = r * 2 = 4.5 [inch] * 2 = 9 [inch]
3x - 4(2x - 5) = 3x - 8x + 20 = -5x + 20...or 20 - 5x....true
