Answer:
6.5 feet.
Step-by-step explanation: The question is asking for the radius of the triangle, and the formula for that is r = c / (2 * π). Plugging in 41 for c, and 3.14 for two, the answer rounds up to 6.5 or 6.53 feet.
Answer:
you have to multiply all 3 given measurements together to find the volume
12a^3bc^2
Step-by-step explanation:
This is a combination problem.
Given:
12 students
3 groups consisting of 4 students.
Mark can't be in the first group.
The combination formula that I used is: n! / r!(n-r)!
where: n = number of choices ; r = number of people to be chosen.
This is the formula I used because the order is not important and repetition is not allowed.
Since Mark can't be considered in the first group, the value of n would be 11 instead of 12. value of r is 4.
numerator: n! = 11! = 39,916,800
denominator: r!(n-r)! = 4!(11-4)! = 4!*7! = 120,960
Combination = 39,916,800 / 120,960 = 330
There are 330 ways that the instructor can choose 4 students for the first group
Answer:
212
Step-by-step explanation:
3m² + 2p² - 15
Plug in the values.
3(3)² + 2(10)² - 15
Evaluate.
3(9) + 2(100) - 15
27 + 200 - 15
200 + 12
= 212
Answer:
a = 10/3
Step-by-step explanation:
This can be written as:
Anything to the power of 1/3 means to find the cube root. We can simplify this to:
I just multiplied 4 and 1/3 (because of the second index law 
). Now, we can add the powers because the bases are the same and we are multiplying (first index law):
a = 10/3
Hope this helps!
