$\displaystyle
\binom{n}{2}=36\\\\
\dfrac{n!}{2!(n-2)!}=36\\
\dfrac{n(n-1)}{2}=36\\
n(n-1)=72\\
n^2-n-72=0\\
n^2-9n+8n-72=0\\
n(n-9)+8(n-9)=0\\
(n+8)(n-9)=0\\
n=-8 \vee n=9$

The number of players can't be negative, so there was 9 players.

6 0

4 years ago

The volume of a cube is 729 cubic feet . What is the side length of the cube ?

Vadim26 [7]

Side length of cube = 9 feet

3 0

3 years ago

Read 2 more answers

Are the only bases that I need to use 2 and 4 along with the height 2.5 and I just ignore the 3?

vaieri [72.5K]

Answer:

$7.5\ units^2$

Step-by-step explanation:

The formula to find the area of a trapezoid is the following,

$A=(h)(\frac{(b_1)+(b_2)}{2})$

Where ( $h$ ) represents the heights of the trapezoid, ( $b_1$ ) and ( $b_2$ ) represent the bases of the trapezoid, or rather the two parallel sides of the trapezoid.

One is given all of these values in the picture,

$h = 2.5\\\\b_1 = 2\\\\b_2 = 4$

Substitute these values into the formula and solve for the area of the trapezoid,

$A=(2.5)(\frac{(2)+(4)}{2})$

Simplify,

$=(2.5)(\frac{6}{2})\\=(2.5)(3)\\=7.5$

5 0

3 years ago