Answer:
x should be cut at 2221.5 to minimize the total combined area, and at 5050 to maximize it.
Step-by-step explanation:
Let x be the length of wire that is cut to form a circle within the 5050 wire, so 5050 - x would be the length to form a square.
A circle with perimeter of x would have a radius of x/(2π), and its area would be

A square with perimeter of 5050 - x would have side length of (5050 - x)/4, and its area would be

The total combined area of the square and circles is

To find the maximum and minimum of this, we just take the 1st derivative, and set it to 0


Multiple both sides by 8π and we have



At x = 2221.5:
= 392720 + 500026 = 892746 [/tex]
At x = 0, 
At x = 5050, 
As 892746 < 1593906 < 2029424, x should be cut at 2221.5 to minimize the total combined area, and at 5050 to maximize it.
Answer: measure of angle 1 and 3 are both 82 degrees
Step-by-step explanation:
Answer:
8
Step-by-step explanation:
Median is middle number and 8 is in the middle.
5 down and 4 left
Long Answer A Vertical shift of 5 units down and a Horizontal Shift of 4 units left.
The formula for conditional probability is:


The correct answer choice is therefore D) 91%