How far would the cheetah have traveled in the first eight minutes? show how you arrived at your answer
Anwer: draw a square with side length equal to the square root of the area of the rectangle.
Explanation:
The rectangle that has the greatest perimeter given a fixed area is the square.
So, take the square root of the area and draw a square with that side length.
The demostration of that is done using the optimization concept from derivative. If you already studied derivatives you can follow the following demostration.
These are the steps:
1) dimensions of the rectangle:
length: l
width: w
perimeter formula: p = 2l + 2w
area formula: A = lw
2) solve l or w from the area formula: l = A / w
3) write the perimeter as a function of w:
p = 2 (A / w) + 2w
4) find the derivative of the perimeter, dp / dw = p'
p' = - 2A / w^2 + 2
5) The condition for optimization is p' = 0
=> -2A / w^2 + 2 = 0
=> 2A / w^2 = 2
=> w^2 = A
Which means that the dimensions of the rectangle are w*w, i.e. it is a rectangle of side length w = √A
The cruising speed of the airplane is equal to 200 m/s.
<u>Given the following data:</u>
- Time =
To calculate the cruising speed of the airplane:
<h3>What is speed?</h3>
Speed can be defined as the distance covered by a physical object per unit of time. Thus, speed can be measured as meter per seconds.
Mathematically, speed is given by this formula;
<u>Conversion:</u>
Distance = 1 kilometer = 1000 meter
Time =
Substituting the given parameters into the formula, we have;
Speed = 200 m/s.
Read more on speed here: brainly.com/question/10545161
Answer:1609.344*186282
Step-by-step explanation:
Step-by-step explanation:
Consider the equation 4+2(5x - 8) = ax + b
Part A : for what values of a and b would the equation have infinitely many solutions?
Part B : if a = 10 and b = -4, explain how to find the number if solutions to the equation.
Read more on Brainly.com - brainly.com/question/13880467#readmore