Answer: You would share in exactly 55 squares.
Step-by-step explanation: To solve this, you need to know how to convert, divide, and multiply.
10*10=100
100/n=20
n=5
11*5=55
SO, you shade in 55 squares.
Answer:
4
Step-by-step explanation:
Think of it this way. You have 2 sets of 2.
I I (This represents two)
I I (This represents the other two)
When you combine these, you get:
I I I I
If you count the tally marks, your answer is 4.
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:
2x(x − 3)(x + 3)
x(x + 4)(x + 2)
Step-by-step explanation:
2x³ − 18x
x(2x² − 18)
2x(x² − 9)
2x(x − 3)(x + 3)
x³ + 6x² + 8x
x(x² + 6x + 8)
x(x + 4)(x + 2)
