We know that
if the club includes one set of identical
triplets wearing matching clothes
then
the number of different arrangements that are
possible is
10! / 3! = (10*9*8*7*6*5*4*3!)/3!
=604,800
The answer is
<span>604,800</span>
Answer:
Step-by-step explanation:
If 65% equals 147
Then to maintain 70% there is a need for 5% more
<u>Which equals</u>
Answer:
Neither
Step-by-step explanation:
Let the area of the original rectangle be A₁.
A₁ = (12 ft)(8 feet) = 96 ft²
To determine the area of the reduced triangle, let's compute the new dimensions first.
Length = 12 ft * 3/4 - 9 ft
Width = 8 ft *3/4 = 6 ft
Thus, the area of the new rectangle denoted as A₂ is
A₂ = (9 ft)(6 ft) = 54 ft
The ratio of the areas are:
A₂/A₁ = 54/96 = 9/16
The ratio of the sides are given to be 3/4.
Finally the ratios of the area to side would be:
Ratio = 9/16 ÷ 3/4 = 3/4
Therefore, the ratio of the areas is 3/4 of the ratio of the corresponding sides.
Answer:
BD = 28
AC = 24
Step-by-step explanation:
Diagonals of a parallelogram bisect each other.
4x − 2 = 3y − 1
3x = 3y − 3
Using elimination to solve the system of equations, subtract the second equation from the first.
(4x − 2) − 3x = (3y − 1) − (3y − 3)
4x − 2 − 3x = 3y − 1 − 3y + 3
x − 2 = 2
x = 4
Substitute into either equation to find y.
3(4) = 3y − 3
12 = 3y − 3
15 = 3y
y = 5
The length of BD is:
4(4) − 2 + 3(5) − 1 = 28
The length of AC is:
3(4) + 3(5) − 3 = 24
