<span>So the question is what is 8/32 in the simplest form. To find out we need to simplify the fraction. In this case the nominator and the denominator are both multiple of 8 so the nominator is 8=1*8 and 32=4*8 so we can write (1*8)/(4*8) and we see that we can cancel out number 8 and get 1/4 which is the simplest form of the fraction. </span>
The length of that arc is (90/360)·2·π·6 = (1/4)·12·π = 3·π ≈ 9.42 units;
Answer:
(A) 180
Step-by-step explanation:
We have to treat those player selections as independent events, since one doesn't influence the other (the fact you chose Joe as a guard, shouldn't have an influence on who'll pick as center, unless there's bad blood between some players... but that's a whole other story).
So, how many ways to pick 2 guards from a selection of 4? The order doesn't seem to matter here, since they don't specify for example that Joe can only play on the left side). So, it's a pure combination calculation:

C(4,2) = 6.
How many ways to pick the 2 forwards from a group of 5? Using the same calculation, we get:
C(5,2) = 10.
And of course, the coach has 3 ways to pick a center player from 3.
Then we multiply the possible ways to pick guards, forwards and center...
6 * 10 * 3 = 180 ways.
Answer:

Step-by-step explanation:
Standard form is basically where the degrees of the terms are in descending order.
First, let's distribute the negative sign to the terms in the second parentheses:

Now, we can just combine like terms with the terms from the first parentheses:

So, our answer is: 