Answer:
Dimensions:
Perimiter:
Minimum perimeter: [16,16]
Step-by-step explanation:
This is a problem of optimization with constraints.
We can define the rectangle with two sides of size "a" and two sides of size "b".
The area of the rectangle can be defined then as:
This is the constraint.
To simplify and as we have only one constraint and two variables, we can express a in function of b as:
The function we want to optimize is the diameter.
We can express the diameter as:
To optimize we can derive the function and equal to zero.
The minimum perimiter happens when both sides are of size 16 (a square).
Answer:
1453 cm²
Step-by-step explanation:
The area of a regular polygon is given in terms of its perimeter and apothem by ...
A = (1/2)Pa
A = (1/2)(145.3 cm)(20 cm) = 1453 cm²
The area of the pentagon is 1453 square centimeters.
Answer:
Option 3
Step-by-step explanation:
11.3
Answer:
the answer is B
f(x)=-2x+3
Step-by-step explanation:
to get the -2x I did --->
pick two points I used (0,3) and (1,1) and used the equation
where y2 would be 1 and y1 would be 3
and where x2 would be 1 and x1 would be 0
so you would put the numbers in the equation which would look like and equal -2 which would be -2x in the answer
And the +3 is the y-intercept