Answer:
x = 15 ft
y = 15 ft
A(max) = 225 ft²
Step-by-step explanation:
Let call "x " and " y " sides of the rectangle x (side paralll to the northern boundary, then:
A(r) = x*y and 4*x + 2*2*y = 120 or 4*x + 4*y = 120
4*x + 4*y = 120 ⇒ x + y = 30 ⇒ y = 30 - x
Area of the garden as a function of x is:
A(x) = x* ( 30 - x ) ⇒ A(x) = 30*x - x²
Taking derivatives on both sides of the equation
A´(x) = 30 - 2*x
A´(x) = 0 ⇒ 30 - 2*x = 0
2*x = 30
x = 30/2
x = 15 ft
And y = ( 30 - x )
y = 15 ft
A(max) = 15*15
A(max) = 225 ft²
Here is your answer good luck!
Answer:
2.3 or 2
Step-by-step explanation:
The formula of an arithmetic sequence is the following :

A geometric sequence is in the form:
Step-by-step explanation:
Given Input Value = 50%
Place the Percentage Value at the top over 100.
50/100
The given fraction is
50/100
On <u>reducing</u> the fraction, we get the exact form
50/100
which would equal 1/2.
The exact form of the fraction is
1/2
In the decimal form, the fraction can be written as 0.5.