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
Answer:
Step-by-step explanation:
A rectangle has 4 sides.
2 of them are lengths and 3 of them are widths.
We can simply use coordinate geometry (without graphing) to find side lengths of the rectangle. We will use Distance Formula.
We can find all the 4 lengths by using Distance Formula from points:
W and X
X and Y
Y and Z
W and Z
Note, that we don't need to find all 4 of them individually, because 2 are lengths (same) and 2 are widths (same). Thus we can find
Distance of WX, which would be same as distance of YZ
also
Distance of XY which would be same as distance of WZ
<em><u>Note:</u></em> Distance Formula is 
where D is the distance, x_1, y_1 is the first coordinate points and x_2,y_2 is the second coordinate points
Answer:
14-5i
Step-by-step explanation:
Distribute using FOIL
12+3i-8i-2i^2
i^2 = -1
12+3i-8i-2(-1)
12+3i-8i+2
Combine like terms
14-5i
I think it is the first one could be wrong tho
If we assume this is a right triangle
for a right triangle
if it has legs length a and b and hyptonouse c then
a²+b²=c²
given
a leg is 24
hyptonuse =25
the other leg is b
24²+b²=25²
576+b²=625
minus 576 from both sides
b²=49
sqrt both sides
b=7
the other leg is 7 units
