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
I am pretty sure the answer is c
Answer:
The volume of the sphere is 24416.6 cm³
Step-by-step explanation:
To calculate the volume of a sphere we have to use the following formula:
v = volume
r = radius
v = ⁴⁄₃πr³.
To solve this formula we first have to have all the data, as we see we need to calculate the radius, which is calculated by dividing the diameter by 2
r = d/2
r = 36cm/2
r = 18cm
Now that we have all the data we can solve the formula
v = ⁴⁄₃πr³.
v = ⁴⁄₃ * 3.14 * (18cm)³
v = 24416.64 cm³
Round to the nearest tenth
v = 24416.6 cm³
45/100 is 4,500%
2/5 is 40%
18/40 is 45%
15/25 is 60%
Hi there!
Find the total area by breaking the figure into two rectangles, one trapezoid, and one triangle.
Rectangles:
A = l × w
A = 2.75 × 4 = 11 in²
Solve for the other rectangle's length by subtracting from the total:
12 - 2 - 3 - 4 = 3
A = 3 × 3 = 9 in²
Total rectangle area: 11 + 9 = 20 in²
Trapezoid:
A = 1/2(b1 + b2)h
A = 1/2(4.25 + 2.75)3 = 21/2 = 10.5 in²
Triangle:
A = 1/2(bh)
A = 1/2(2.5 · 2) = 2.5 in²
Add up all of the areas:
20 + 10.5 + 2.5 = 33 in²
