Answer: 22) A
<u>Step-by-step explanation:</u>
First, order doesn't matter so it is a Combination.
<em>In other words, it doesn't matter which person was chosen 1st, 2nd, 3rd, or 4th to bring food because they are all bringing "food".</em>
Next, If you are going to choose person to 4 people to bring food out of a total of 4 + 3 + 1 = 8 people, you get → ₈C₄
And you are going to choose 3 people to bring decorations out the remaining 8 - 4 = 4 people, you get → ₄C₃
And you are going to choose 1 person to be the host out of the remaining 4 - 3 = 1 person, you get → ₁C₁
"And" means multiplication so altogether you get ⇒ ₈C₄ × ₄C₃ × ₁C₁
A) 70 pools in total
B) 5:2
Answer:
Step-by-step explanation:
We have the equations
4x + 3y = 18 where x = the side of the square and y = the side of the triangle
For the areas:
A = x^2 + √3y/2* y/2
A = x^2 + √3y^2/4
From the first equation x = (18 - 3y)/4
So substituting in the area equation:
A = [ (18 - 3y)/4]^2 + √3y^2/4
A = (18 - 3y)^2 / 16 + √3y^2/4
Now for maximum / minimum area the derivative = 0 so we have
A' = 1/16 * 2(18 - 3y) * -3 + 1/4 * 2√3 y = 0
-3/8 (18 - 3y) + √3 y /2 = 0
-27/4 + 9y/8 + √3y /2 = 0
-54 + 9y + 4√3y = 0
y = 54 / 15.93
= 3.39 metres
So x = (18-3(3.39) / 4 = 1.96.
This is a minimum value for x.
So the total length of wire the square for minimum total area is 4 * 1.96
= 7.84 m
There is no maximum area as the equation for the total area is a quadratic with a positive leading coefficient.
Oppor it plenty no flow
Mafo any body
Answer:
x = 1
Step-by-step explanation:
If you have any questions about the way I solved it, don't hesitate to ask ÷)
