Answer:
See Below.
Step-by-step explanation:
We are given:
Using exponent properties:
Rewriting:
Since i⁴ = 1 and i² = -1:
1 to any power is still 1:
Answer: x is 125
Step-by-step explanation: Angles P and S are also consecutive angles, adding up to 180 degrees. 180-55 = 125, so adding the two angles together is 180 degrees. Thus, x is 125.
Sorry, I'm going to need a more accurate question. How many kids are there in total?
Answer:
1200
Explanation:
Order does not matter, if we said xyz order, it would still not make a difference if it was zyx or yzx hence we use the combination formula:
nCr = n! / r! * (n - r)!
where n= total number of items
r= number of items chosen at a time
Combinations are used when the order of events do not matter in calculating the outcome.
We calculate using the formula:
(30×20×12)÷3!=1200
There are therefore 1200 ways for the three distinct items to not be in same row or column
