The possible rectangles that you could draw to have an area of 12 would be:
12x1
6x2
4x3
3x4
2x6
1x12
Answer:
(h°h)(10) = 10
Step-by-step explanation:
(h°h) = 6-(6-x) = x
h(10) = x
x = 10
Answer:
9.11*10^-4 %
Step-by-step explanation:
To find the probability, you simply need to find the possible outcomes that allows no rooks to be in danger, and the possible amount of ways to place the rooks.
For the first outcome, you start by putting 1 rook in the first columns, you have 8 possible rows to do this. The next rook in the next column will only have 7 possible rows, as you have to exclude the one where the previous rook is located. The next rook, 6 possibilities, the next 5, and so on. So we conclude that the total amount of ways so that none of the rooks can capture any of the other rooks is 8*7*6*5*4*3*2*1 = 8! = 40320
In order to find the total amount of ways to place the rooks, you can just use a combinatoric:
![\left[\begin{array}{ccc}64\\8\end{array}\right]= \frac{64!}{8!(64-8)!} = 4.43*10^9](https://tex.z-dn.net/?f=%5Cleft%5B%5Cbegin%7Barray%7D%7Bccc%7D64%5C%5C8%5Cend%7Barray%7D%5Cright%5D%3D%20%5Cfrac%7B64%21%7D%7B8%21%2864-8%29%21%7D%20%3D%204.43%2A10%5E9)
Then:
P = 
Answer:
555
Step-by-step explanation:
Answer:
7) 
8) 
Step-by-step explanation:
You must use the laws of exponents.
7)

When you raise a fraction to an exponent, raise the numerator and the denominator to that exponent.

When you raise a product to an exponent, raise each factor to that exponent.
When you raise an exponent to an exponent, multiply the exponents.


8)

To divide powers with the same base, subtract the exponents. Remember that a plain variable, such as w is the same as w^1.

