Answer: 512m³
Step-by-step explanation:
v = whl
The volume for left building:
v = w x h x l
v = 4 x 10 x 8
v = 320 m³
The volume for right and lower building:
v = w x h x l
v = 8 x 4 x 6
v = 192 m³
The total volume for the entire Charter School is: 320m³ + 192m³ = 512m³
<span>Well, there would be an infinite amount of points that lies on the circle but the general form of it would be:
(x-6)² + (y-1)² = 25</span>
Answer:
(x+1)(x-1)(x+3)(x-3)
Step-by-step explanation:
x4-10x^2+9
Group expression so that the coefficients of the x^2 terms add up to +9.
= x^4 -9x^2 - x^2+9
match coefficients in both groups
= x^4 -9x^2 - (x^2-9)
factor each group
= x^2 (x^2-9) - 1(x^2-9)
now factor out the common factor (x^2-9)
= (x^2-1)(x^2-9)
Finally, factor each quadratic factor
= (x+1)(x-1)(x+3)(x-3)
The question is asking how many combinations of two people can be made from a group of ten people.
Using the formula C(10,2) = 10!/(2! x (10 - 2)! = 10!/(2! x 8!) = 45 handshakes.
A simple way to prove this is each person shakes the hand of 9 other people
10 x 9 = 90 but this counts every handshake from the view of both people involved.
The actual number of handshakes is therefore 90 / 2 = 45
Answer:
C
Step-by-step explanation: