One solution.. what you're describing is two lines that intersect at the common y intercept. This will be the only point that satisfies both equations in the system.
Let the radius of the base be r units
Then the height will be 3r units
Volume of cylinder = pi r^2 h
24=pi r^2 × 3r
Pir^3 = 24/3
Pi r ^3 =8
r^3 = 8/pi
R = 2 / pi^1/3
Height = 6/pi^1/3
We must find UNIQUE combinations because choosing a,b,c,d... is the same as d,c,b,a...etc. For this type of problem you use the "n choose k" formula...
n!/(k!(n-k)!), n=total number of choices available, k=number of choices made..
In this case:
20!/(10!(20-10)!)
20!/(10!*10!)
184756
Answer:
C) x=35
Step-by-step explanation:
First, we know that the total amount of degrees in a rotation is 360. As the picture tells us, the opposite angles will be exactly the same. Taking this information, we can have the following equation:
4x + 2(3x+5) = 360
By now using our linear equation skills, we get:
10x+10=360
10x=350
x=35
The degree amount of x for c) is 35 degrees.
