Answer:
32a-18
Step-by-step explanation:
add together the side lengths:
10a-1+6a-8+10a-1+6a-8=(10+6+10+6)a+(-1-8-1-8)= 32a-18
Using the Fundamental Counting Theorem, it is found that for each case, the total number of outcomes is:
a) 60,466,176.
b) 5,961,600.
<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:
Item a:
No restrictions, hence for each of the five characters, there are 36 outcomes, hence 
.
Then, the possible number of passwords is:
Item b:
The letters and the digits have to be alternated, hence:
- Starting with a letter,
.
- Starting with a digit,
.
Then, the possible number of passwords is:
To learn more about the Fundamental Counting Theorem, you can take a look at brainly.com/question/24314866
Answer:
u need to exaplin to answer more dude
Step-by-step explanation:
Answer:
r=4
Step-by-step explanation:
Area of a circle is
A = pi* r^2
We know the area and 3.14 = pi
50.24 = 3.14 * r^2
Divide each side by 3.14
50.24/3.14 =3.14 /3.14 *r^2
16 = r^2
Take the square root of each side
sqrt(16) = sqrt(r^2)
4 =r
Answer:
3 < x < 13
Step-by-step explanation:
<u>Triangle Inequality Theorem</u>
The sum of the lengths of any two sides of a triangle is greater than the length of the third side.
Let x be the length of the unknown side.
Therefore, x will either be the longest side or one of the shorter sides.
Therefore:
x < 5 + 8
⇒ x < 13
And:
8 < 5 + x
⇒ 3 < x
So the range of possible values of the third side is <u>greater than 3</u> and <u>less than 13</u>: 3 < x < 13
