9514 1404 393
Answer:
625 square feet
Step-by-step explanation:
The greatest area of a polygon with a given perimeter is that of a regular polygon. A regular rectangle is one that has all sides the same length -- a square. The side length of a square with 100 ft perimeter is 25 ft. The area of a square with such a side length is
A = (25 ft)² = 625 ft²
The maximum possible area is 625 ft².
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In the attached, x is the length of one side. The area versus side length is plotted. The maximum is seen to be 625 ft² for a side length of 25 ft.
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Define x :
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Let the smallest number be x.
The other two numbers will be x+1 and x+2.
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Construct equation :
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The sum of all 3 numbers is 78
⇒ x + x + 1 + x + 2 = 78
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Solve x :
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x + x + 1 + x + 2 = 78
3x + 3 = 78
3x = 78 - 3
3x = 75
x = 25
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Answer: Smallest number = 25
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Answer:
b. 7+21
Step-by-step explanation:
If you do 1+3=4 and then 4 times 7 that equals 28. When you do 7+21 that equals 28 too. So b is the answer
Answer:
The only positive integers would be anything less than 3. So 1 or 2 would work
Step-by-step explanation:
If something that is already being raised to a power, gets raised to another power, those powers add up. So if it were 
, the exponents would add which would make it 
.
In the case of your question, if 'n' was 2 it would be to the power of 6 making it less than to the power of. 1 could also work
First simplify the one inequality, 6r + 30 greater than or equal to 12 just divide by 6 then subtract 30 from both sides of the inequality. You should get r is greater than or equal to -3. For this one you need to reverse the inequality symbol then divide both sides by -1 to get a positive r, and you get r is less than -12. It's not A because there's two solutions, and it's not D for the same reason. It's not C because r isn't greater than -12. In conclusion it's B because it correctly represents the solutions that make the inequality true. I hope this helps you on your high school application :)
