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4 years ago

among all the rectangles whose perimeters are 100 ft, find the dimensions of the one with maximum area

1 answer:

7 0

A rectangle can also a square, which means they can have four equal sides and it would still be a rectangle, so you can take 100, divide it by 4 and each side will equal 25 ft. and when you try to find the area it will be 625 ft^2 and that is the biggest area possible because if you try any other combination, the area becomes less and less.

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Nezavi [6.7K]

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3 years ago

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Find three consecutive integers such that when three times the third is increased by the first, the result is 8 less than five t

nexus9112 [7]

Answer:

Step-by-step explanation:

x - the smallest of three consecutive integers (the first)

x+1 - the next of three consecutive integers (the second)

x+2 - the last of three consecutive integers (the third)

3(x+2) - three times the third integer

<u>3(x+2)+x </u> - three times the third increased by the first

5(x+1) - five times the second tnteger

<u>5(x+1)-8 </u> - 8 less than five times the second

3(x + 2) + x = 5(x + 1) - 8

3x + 6 + x = 5x + 5 - 8

4x + 6 = 5x - 3

-4x -4x

6 = x - 3

x = 9

x+1 = 10

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Check: 3×11+9 = 33+9 = <u>42</u>, 5×10-8=50-8 = <u>42</u>

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4 years ago

What is the best result for h?

Kryger [21]

Answer: First option.

Step-by-step explanation:

To solve for "h" from the given the equation $S=2\pi rh+2\pi r^2$ , you need to:

Apply the Subtraction property of equality and subtract $2\pi r^2$ to both sides of the equation.

Then you need to apply the Division property of equality and divide both sides of the equation by $2\pi r$ .

Then:

$S-2\pi r^2=2\pi rh+2\pi r^2-2\pi r^2\\\\S-2\pi r^2=2\pi rh\\\\\frac{S}{2\pi r}-\frac{2\pi r^2}{2\pi r}=\frac{2\pi rh}{2\pi r}\\\\\frac{S}{2\pi r}-r=h$

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3 years ago

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Mashcka [7]

100<28+12d

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4 years ago

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Andre45 [30]

It is the 2nd one if im not right then idk

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3 years ago

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