Answer:
x = 30
Step-by-step explanation:
If the angles are supplementary, that means that they add up to 180°.
That means 40 + 4x + 20 = 180°
Simplify: 60 + 4x = 180
Subtract: 4x = 120
Divide: x = 30
Answer:
3.63 * 10^19
Step-by-step explanation:
Given that :
Number of choices to select = 12
Category available :
Blues - 14
Country - 25
Disco - 21
To select an equal number of song for each category ; then 4 songs will be selected from each :
Using combination :
(14C4 * 25C4 * 21C4)
Since the order matters for the 12 selected songs ; it thus requires 12 permutation
Thus ;
(14C4 * 25C4 * 21C4) * 12!
nCr = n! / (n-r)!r!
Using calculator;
14C4 = 1001 ;
25C4 = 12650
21C4 = 5985
12! = 479001600
Hence,
(1001 * 12650 * 5985) * 479001600
= 36301596217286400000
=3.63 * 10^19
When the square root of a number is a whole number, this number is called a perfect square. ... Not all square roots are whole numbers. Many square roots are irrational numbers, meaning there is no rational number equivalent
Answer:
A and E
Step-by-step explanation:
That's where they overlap
