When you're evaluating P(n, k), you are essentially saying there are n objects and you will need to arrange them in k spaces.
This is essentially the same as:

, which follows the formula:

If you're dividing by 4!, you are evaluating P(6, 2)
180-68 is 112 so 112 is angle fca
Answer:
5.2 x 10^-2
Step-by-step explanation:
Scientific notation is used to simplify very large or very small numbers.
The formula for scientific notation is (a x 10^ n)
(a) is a number that is both greater than 1 and less than 10
(n) is the number of places the decimal place moves. This number can be positive or negative depending on the number you are converting. If the original number is greater than 1 (n) will be positive, and if the number is less than 1 (n) will be negative.
First you should write out the number.
0.052
Then, you should determine the number places the decimal point must move, and create a number greater than 1 and less than 10. (You should also pay attention to the direction the decimal point moves)
For this problem you will move the decimal place 2 places to the right to create the number 5.2.
Last, substitute the values into the formula. For this problem (a)= 5.2 and (n)= -2. This gives us the expression 5.2 x 10^-2.
Answer:
x = -28
Step-by-step explanation:
x-(-5) = x + 5
x + 5 = -23
-23 - 5 = -28
x = -28
So first let’s find the area of the rectangle. The formula for finding the area of a rectangle is A=l x w.
The length is 10ft and the width is 8ft.
A=10ft x 8ft=80ft^2
The area of the rectangle is 80ft^2.
Now let’s find the area of the triangle. The formula for finding the area of a triangle is A=h x b/2. Both the height and the base of the triangle is 4ft.
A=4ft x 4ft/2=8ft^2.
The area of the triangle is 8ft^2.
Now to find the area of the entire shape. Add the area of the rectangle and the area of the triangle.
80ft^2+8ft^2=88ft^2
The total area of the shape is 88ft^2.