Destinyyyy
  • Destinyyyy
..
Mathematics
  • Stacey Warren - Expert brainly.com
Hey! We 've verified this expert answer for you, click below to unlock the details :)
SOLVED
At vero eos et accusamus et iusto odio dignissimos ducimus qui blanditiis praesentium voluptatum deleniti atque corrupti quos dolores et quas molestias excepturi sint occaecati cupiditate non provident, similique sunt in culpa qui officia deserunt mollitia animi, id est laborum et dolorum fuga. Et harum quidem rerum facilis est et expedita distinctio. Nam libero tempore, cum soluta nobis est eligendi optio cumque nihil impedit quo minus id quod maxime placeat facere possimus, omnis voluptas assumenda est, omnis dolor repellendus. Itaque earum rerum hic tenetur a sapiente delectus, ut aut reiciendis voluptatibus maiores alias consequatur aut perferendis doloribus asperiores repellat.
chestercat
  • chestercat
I got my questions answered at brainly.com in under 10 minutes. Go to brainly.com now for free help!
Destinyyyy
  • Destinyyyy
1 Attachment
jim_thompson5910
  • jim_thompson5910
if you were to fold up the flaps, you'd get something that looks like this |dw:1440726497313:dw|
jim_thompson5910
  • jim_thompson5910
ie an open top box the sides of the bottom of the box are x units long |dw:1440726593269:dw|

Looking for something else?

Not the answer you are looking for? Search for more explanations.

More answers

jim_thompson5910
  • jim_thompson5910
and the height is 3 units |dw:1440726609264:dw|
Destinyyyy
  • Destinyyyy
Okay
jim_thompson5910
  • jim_thompson5910
what would the volume expression be?
jim_thompson5910
  • jim_thompson5910
hint: volume of box = length * width * height
Destinyyyy
  • Destinyyyy
Ummmm.. 3*x*x ???
jim_thompson5910
  • jim_thompson5910
which becomes 3x^2, yes
Destinyyyy
  • Destinyyyy
Yeah
jim_thompson5910
  • jim_thompson5910
the box must have a volume of 300 cubic inches. This is given in the instructions
jim_thompson5910
  • jim_thompson5910
so 3x^2 = 300 which means x = ??
Destinyyyy
  • Destinyyyy
x=10
jim_thompson5910
  • jim_thompson5910
correct
Destinyyyy
  • Destinyyyy
Okay
Destinyyyy
  • Destinyyyy
Then I plug the 10 into the original problem right? Or no?
jim_thompson5910
  • jim_thompson5910
yeah into the box since that's the answer
jim_thompson5910
  • jim_thompson5910
length = width = x
Destinyyyy
  • Destinyyyy
Okay
Destinyyyy
  • Destinyyyy
Finally my last problem number 23...
1 Attachment
jim_thompson5910
  • jim_thompson5910
if we look head-on we see this shape |dw:1440727083780:dw|
jim_thompson5910
  • jim_thompson5910
the base is 25-2x |dw:1440727110151:dw|
jim_thompson5910
  • jim_thompson5910
the height is x |dw:1440727145385:dw|
jim_thompson5910
  • jim_thompson5910
what is the area expression of this rectangle? |dw:1440727163012:dw|
Destinyyyy
  • Destinyyyy
25-2x*x
jim_thompson5910
  • jim_thompson5910
use parenthesis
jim_thompson5910
  • jim_thompson5910
you multiply ALL of `25-2x` by `x`
jim_thompson5910
  • jim_thompson5910
so you'd say (25-2x) * x
Destinyyyy
  • Destinyyyy
Okay
jim_thompson5910
  • jim_thompson5910
what is (25-2x) * x equivalent to when you distribute?
Destinyyyy
  • Destinyyyy
-2x^2+25x
jim_thompson5910
  • jim_thompson5910
good
jim_thompson5910
  • jim_thompson5910
the cross sectional area is 43 square inches (given in instructions) so -2x^2 + 25x = 43 solve for x
Destinyyyy
  • Destinyyyy
I got--- -25+- square root 281 over -4
jim_thompson5910
  • jim_thompson5910
me too, you can simplify that to get \[\Large \frac{25\pm\sqrt{281}}{4}\]
jim_thompson5910
  • jim_thompson5910
now use a calculator to evaluate those expressions to get the approximate decimal form
Destinyyyy
  • Destinyyyy
Wait why do you have it as positives??? O.o
jim_thompson5910
  • jim_thompson5910
I divided each piece by -1
jim_thompson5910
  • jim_thompson5910
-25/(-1) = +25 -4/(-1) = +4
Destinyyyy
  • Destinyyyy
Oh?? So my answer is wrong with the negatives??
jim_thompson5910
  • jim_thompson5910
it really doesn't matter because they want the decimal approximations anyway
jim_thompson5910
  • jim_thompson5910
you have a correct form so don't worry
Destinyyyy
  • Destinyyyy
Okay
Destinyyyy
  • Destinyyyy
x= 10.44, 2.05
jim_thompson5910
  • jim_thompson5910
then round each to the nearest tenth
Destinyyyy
  • Destinyyyy
Um.. 2.1 and 10.4 ?
Destinyyyy
  • Destinyyyy
Sorry im not good with decimals...
jim_thompson5910
  • jim_thompson5910
you have them both correct
Destinyyyy
  • Destinyyyy
Okay.. So both are the answer to the depth of the gutter?
jim_thompson5910
  • jim_thompson5910
yes you'll input them both separated by a comma
jim_thompson5910
  • jim_thompson5910
the reason why there are 2 answers is because you can think of the same rectangle in 2 different ways eg: a 6 x 5 rectangle is the same as a 5 x 6 rectangle
Destinyyyy
  • Destinyyyy
Ohhhh
Destinyyyy
  • Destinyyyy
Okay. Thank you!! Now I can be done for the night :))
jim_thompson5910
  • jim_thompson5910
you're welcome

Looking for something else?

Not the answer you are looking for? Search for more explanations.