Surface area of sphere=100pi cm^2
4pi×r^2=100 pi
pi cancel on both sides
4×r^2=100
r^2=100/4
r^2=25
so r=5
So option b 5 cm is correct.
Answer: Second Option

Step-by-step explanation:
The probability sought is calculated by calculating the quotient between the number of possible ways to select 4 seniors from a group of 4 seniors among the number of ways to select 4 seniors from a group of 10 people.
So:

Where

is the number of ways in which a number r of people can be selected from a group of n people
Then

Answer: the first adds increasingly by 1 every time. (+6,+7,+8...) the next two numbers are 35 and 45.
The second multiplies increasingly by one every time. (x5,x6,x7...) and the next two numbers are 1680 and 13,440
Answer:
The answer to your question is c = 20
Step-by-step explanation:
Data
a = 15
j = 24
k = 32
c = ?
Process
Use proportions to solve this problem. Compare the small triangle and the large triangle.
1.- Proportion of the small triangle
c/15
2.- Proportion of the large triangle
k/j
3.- Equal but terms and solve for c
c/15 = k/j
-Substitution
c / 15 = 32/24
c = 32(15)/24
-Result
c = 20