Answer:
x = 40
Step-by-step explanation:
Given 2 secants to a circle from an external point, then
The product of the external part and the whole of one secant is equal to the product of the external part and the whole of the other secant, that is
8(8 + x) = 12(12 + 20) ← distribute parenthesis on both sides
64 + 8x = 12 × 32 = 384 ( subtract 64 from both sides )
8x = 320 ( divide both sides by 8 )
x = 40
Since one piece is four time the length <em>x, </em>we can represent that as 4x.
Thus making the equation:
4x+x=275
5x=275
x=55
4(55)=220
220+55=275
So, the length of the longer piece is 220 inches, and the length of the shorter piece is 55 inches.
Answer:
24414 combinations
Step-by-step explanation:
Solution:-
- We have 17 employees that needs to be managed for a project.
- We will choose all of our employees equally likely for 3 projects.
Project 1 = 8 spacings
- So we have 17 available employees to choose from. So we choose (combinations):
Project 1 = 17C8 = 24310 combinations
- We are left with 17 - 8 = 9 employees, for the next project:
Project 2 = 3 spacings
- So out of the available 9 employees project 2 would have:
Project 2 = 9C3 = 84 combinations
- We are left with 9 - 3 = 6 employees, for the next project:
Project 3 = 3 spacings
- So out of the available 6 employees project 3 would have:
Project 3 = 6C3 = 20 combinations
- The total number of combinations fro selecting 17 employees for each project would be:
24310 + 84 + 20 = 24414 combinations
-14 + x = 5
First, regroup terms. / Your problem should look like: x - 14 = 5
Second, add 14 to both sides. / Your problem should look like: x = 5 + 14
Third, simplify 5 + 14 to get 19. / Your problem should look like: x = 19
Answer: C) 19
Answer:
Step-by-step explanation:
Use the formula for volume of a cone
V = 1/3 pi r^2 (h)
V = 1/3 pi 66^2 (18)
V= 1/3 pi 4356(18)
V = 1/3 pi 78408
V = 1/3 264,201.12
V = 82,067.04cm^3
