$36,000,000 is 40% of $90,000,000. Hope it helps!
Since order does not matter, we use combinations to find the total number of delegations.
We have 4 out of 16 mathematicians: 16C4
And 5 out of 24 graduate students: 24C5
Multiplying: 16C4 x 24C5
= 16!/(12!4!) * 24!/(19!5!)
= (16*15*14*13)/(4*3*2) * (24*23*22*21*20)/(5*4*3*2)
= 77,357,280 delegations
Answer:
It is one-half the area of a rectangle with sides 2 units × 3 units.
Step-by-step explanation:
we have the coordinates of triangle ABC
A(4,5),B(5,2),C(3,2)
Plot the coordinates of triangle to better understand the problem
see the attached figure
step 1
Find the area of triangle ABC
The triangle ABC is an isosceles triangle `(AB=AC)
The area of triangle ABC is
we have
---> difference of the x-coordinates
---> difference of the y-coordinates
substitute
step 2
Find one-half the area of a rectangle with sides 2 units × 3 units
therefore
The area of triangle ABC is one-half the area of a rectangle with sides 2 units × 3 units
6(x²-4x+4-4)+1=0, 6(x-2)²-24+1=0, 6(x-2)²=23, x-2=±√(23/6), x=2±√(23/6)=2±1.95789, so x=3.95789 or 0.04211 approx. These are the zeroes.
20
5 and 4 have no common factors until they are multiplied by each other. So if you were to convert your existing measurements, you would do the following.
(3/4) x (5/5)
(2/5) x (4/4)
Giving you 15/20 and 8/20