Answer:
C is the answer
Step-by-step explanation:
First find the area of the circle -
Use pi times r^2
Since the answers are in pi form, we just need to do the "r^2" part. 3 is the radius, so 3 x 3 = 9. Now that we have found the area of the circle, we will need to multiply the area of the circle by the height of the cylinder. (9pi)(9) = 81pi cubic units. 81pi cubic units is the answer.
Answer:
B
Step-by-step explanation:
The <u>sample space</u> for this experiment is the set of all possible outcomes.
A student rolls a number cube whose six faces are numbered 1 through 6.
Therefore, all possible outcomes are:
- rolled number 1;
- rolled number 2;
- rolled number 3;
- rolled number 4;
- rolled number 5;
- rolled number 6.
Hence, the sample space is {1, 2, 3, 4, 5, 6}
The only way 3 digits can have product 24 is
1 x 3 x 8 = 241 x 4 x 6 = 242 x 2 x 6 = 242 x 3 x 4 = 24
So the digits comprises of 1,3,8 or 1,4,6, or 2,2,6, or 2,3,4
To be divisible by 3 the sum of the digits must be divisible by 3.
1+ 3+ 8=12, 1+ 4+ 6= 11, 2 +2 + 6=10, 2 +3 + 4=9Of those sums of digits, only 12 and 9 are divisible by 3.
So we have ruled out all but integers whose digits consist of1,3,8, and 2,3,4.
Meanwhile they must be odd they either must end in 1 or 3.
The only ones which can end in 1 are 381 and 831.
The others must end in 3.
They must be greater than 152 which is 225. So the
First digit cannot be 1. So the only way its digits can contain of1,3,8 and close in 3 is to be 813.
The rest must contain of the digits 2,3,4, and the only way they can end in 3 is to be 243 or 423.
So there are precisely five such three-digit integers: 381, 831, 813, 243, and 423.
Answer:
m + p >= 100
m >= 40
p >= 10
Step-by-step explanation:
let m = number of mugs
let p = number of plates
