Let n = 12
Let r = 6
Replace every n! with 12 and every r! with 6 and then do the math.
nCr = 12!/[(12 - 6)!*6!]
nCr = 479001600/(720)(720)
nCr = 479001600/518400
nCr = 924
There are 924 ways or combinations to select 6 city commissioners from a group of 12 candidates
Answer:
Yes
Step-by-step explanation:
If you use the Pythagorean theorem you will see that it is indeed a right triangle.
-4 or -484
if it’s -2 to the 2nd power then it is -4
or if it’s -22 to the 2nd power then it is -484
Answer:
x = 5
Explanation:
Well, there's a theorem about these triangles that helps you solve questions similar to this one.
The theorem states that the sum of the two angles of a triangle is equal to the magnitude of the angle exterior to them.
That is, 33° + (10x+1)° = (17x-1)°
17x - 10x = 33 + 1 + 1
7x = 35 => x = 5
Hope it helps you, mate! :)
Answer:
3.14 ft
Step-by-step explanation:
The arc AB is the minor arc of the given circle. The length l of the minor arc of a circle is given as
l = Ф°/360° × 2πr
where
Ф is the angle of the arc at the center of the circle
r is the radius of the circle and
π is a mathematical constant equivalent to 22/7
r = 8/2 = 4 ft
Hence
l = 45°/360° × 2 × 22/7 × 4
= 22/7 ft
= 3.14 ft
