Half of a quarter peice for each person
I think it 2 because did on paper
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.
If 14 out of 20 is correct, then that is : 14/20 = 0.70 = 70%
Answer:
1/3
Step-by-step explanation:
Simplify the following:
((36/2)/(3×9))/2
((36/2)/(3×9))/2 = 36/(3×9×2×2):
36/(3×9×2×2)
36/9 = (9×4)/9 = 4:
4/(3×2×2)
4/2 = (2×2)/2 = 2:
2/(3×2)
2/(3×2) = 2/2×1/3 = 1/3:
Answer: 1/3
