hectictar

perimeter of a rectangle = length + length + width + width

length + length + width + width = perimeter of a rectangle

(x +4) + (x+4) + x + x < 112

x + 4 + x + 4 + x + x < 112

4x + 8 < 112

4x < 104

x < 26

^^^^^^ Best Answer ^^^^^^

If the question was:

x = sin(106º)

It reads: "x equals the sine of one hundred six degrees."

Then you could say, "To solve for x, take the sine of one hundred six degrees."

Yes,  me too. A lot of people are having the same problem. I think the admin is working on it right now.

Holy cow! That is a loooooooooong link...   Lol !!

Oh no! Haha okay in that case, this is probably what the picture looks like:

volume = (1/3)(area of base)(height)

5,292 = (1/3)(21)(21)(h)

h = 5,292 / 147 = 36 mm

red volume = (1/3)(7)(7)(36/3)

red volume = 196 cubic mm

As you can see, it is the same answer either way.

Because you are reducing 3 dimensions by 3, the volume will reduce by 3, 3 times.

The new volume = old volume / 3³

5,292 / 3³ = 196

That is all the math you really need to do.

It wasn't really necessary to go through all that work that I showed.

It isn't a glitch! 

You can multiply it out like this:

(x + 4)*(2x + 5)

Multiply each thing in the first set of parenthesees by each thing in the second set of parenthesees and add the products together.

2x² + 5x + 8x  + 20

Combine like terms:

2x² +13x + 20

I think this is what the picture probably looks like:

Since the boxes are similar, I knew that the height of the red box was h/3.

volume = length * width * height

5292 cubic mm = 21 * 21 * h

Solve for h:

h = 5292 / 441 = 12 mm

red box volume = 7 * 7 * (12/3)

red box volume = 196 cubic mm

Also,

since you are reducing 3 dimensions by 3,

the new volume = old volume / 3³

the new volume= 5292 / 27 = 196 cubic mm

To find what number is in the middle, take the average:

\(\frac{76.7+77.2}{2}=\frac{153.9}{2}=76.95\)

(-9)² - (4)(8)(-8)

(-9)(-9) - (4)(8)(-8)

81 - (32)(-8)

81 - (-256)

81 + 256 = 337