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.
Answer:
The area that was not painted is 
Step-by-step explanation:
step 1
Find the area of the rectangle
we know that
The area of a rectangle is equal to
In this problem we have
substitute
step 2
Find the area that was painted
step 3
Find the area that was not painted
Subtract the area that was painted from the total area of rectangle
so
1a) no it would be 54
1b) yes
1c) yes
1d) no it would be 40
1e) yes
hope this helped
1,000,000 is written as 10^6. Other wise it would be too low or too high.
7:15 AM
it is 15 minutes after 7 so 7:00 + 0:15 = 7:15
also breakfast is eaten in the morning so AM is right
