Answer:
120 different ways
Step-by-step explanation:
The formula to count the permutation since the order the matters: nPr = n! / (n - r)!, where n is the total number and r is the total number of chosen.
1) Substitute values into the formula. SMILE has 5 letters, and we choose 5.
5P5 = 5! / (5 - 5)!
5P5 = 5! / 0!
Zero factorial (0!) is always 1.
So, 5P5 = 5! / 1
5! = 5 × 4 × 3 × 2 × 1
5! = 120
Therefore, 5P5 = 120 / 1, which is 120. We can arrange the word SMILE in 120 different ways.
Answer:
The dock is 
high
Step-by-step explanation:
we know that
Applying the Pythagoras theorem
Let
x------> the height of the dock
Solve for x
Answer:
A=24 sq ft
P=20 ft
Step-by-step explanation:
To make this easier, separate the triangle and the rectangle. To find the area of the triangle multiply the bases and the height and then divide the answer by. So,
(6x4)/2
(24)/2
A=12
The base of the triangle is the same as the base on the rectangle. To get the perimeter, add the 3 side values up.
5+5+6
P=16
For the rectangle, to get the area, just multiply the base value and the height value. So,
(6x2)
A=12
To get the perimeter, add all the side values up. So,
6+6+2+2
P=12
Add the 5 sides of the pentagon up for the perimeter.
5+5+2+2+6
P=20
And finally, add the area of the triangle and the rectangle to get the area of the pentagon.
12+12
A=24
Step-by-step explanation:
- volume of cylinder=90π
- πr²h=90π
- 3²h=90
- 9h=90
- h=90/9
- h=10
hope it helps.
The total miles are given by multiplying the miles per week and the number of weeks:
total = 10*52 = 520
so the total miles she will jog are 520 miles
