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
B.
EXPLANATION
The volume of a cone is calculated using the formula:
where r=4 units is the base radius of the cone.
and h=21 units is the vertical height of the cone.
We plug in the values to get;
After that, u just have to sub in X to the bike and bus ! So the time taken for bus would be 20 mins . The time taken for bike would be 12 mins.
Subtract 25 from each side of that equation, and it says that x-squared = negative 25. 'X' can't be any real number. If you know how to work with imaginary numbers, you'll know that the two solutions are x=5i and x=-5i ... the ' i ' is the symbol meaning the square root of -1 .
Answer:
PR=8
ST=5
Step-by-step explanation:
2x=8
x=4
PR=2x=8
5z=2z+3
3z=3
z=1
ST=5z=5