I will give brainliest for first correct answer! Claire correctly solved the proportion x/4 = 36/6 for x by using cross products
to get the equation 16 x = 144 and then dividing both sides by 16 to get x = 9. She showed that she can use cross products to solve the proportion because she gets the same answer if the solves it as shown (look at image).
What property allowed her to go from x/4 = 36/6 to x/4 times 4 = 36/16 times 4?
A) addition property of equality
B) subtraction property of equality
C) multiplication property of equality
D) division property of equality
What property allowed her to go from x/4 = 36/6 to x/4 times 4 = 36/16 times 4?
A) addition property of equality
B) subtraction property of equality
C) multiplication property of equality
D) division property of equality
2 answers:
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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.