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:
x = -7
Step-by-step explanation:
3x + 13 = -2x - 22
subtract 13 from both sides
3x = -2x - 35
Add 2x to both sides
5x = -35
Divide each side by 5
x = -7
7/16 = 0.4375
those are the 4 decimal places
Answer:
Step-by-step explanation:
To find the length of an isosceles triangle, you know that the angles of the triangle are 45-45-90, so let's use that triangle theorem.
Therefore, the length of the hypotenuse (BD) is , and x is equal to 8 (length of BC).
x=8
Therefore, would be the length of side BD.
Answer:
5/48
Step-by-step explanation: