anonymous
  • anonymous
A paper drinking cup is being designed in the shape shown in the accompanying figure. The amount of paper needed to manufacture the cup is determined by the surface area S of the cup, which is given by s=πr√(r^(2))+h^(2) where r is the radius and h is the height. (b) Could the formula for S be simplified as follows? πr√(r^(2))+h^(2)=πr(√(r^(2))+√(h^(2)))=πr(r+h)
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.
katieb
  • katieb
I got my questions answered at brainly.com in under 10 minutes. Go to brainly.com now for free help!
anonymous
  • anonymous
Nonono. In general \[\sqrt{a + b}\ \not= \sqrt{a} + \sqrt{b} \]
anonymous
  • anonymous
Could you explain your answer to me Mr. Newton?
anonymous
  • anonymous
That simplification uses the assumption I listed above (splitting it up into two roots) The assumption is false.

Looking for something else?

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

More answers

anonymous
  • anonymous
Hmmm
anonymous
  • anonymous
It probably got confused with \[\sqrt{a\times b} = \sqrt{a} \times \sqrt{b} \] which is true.
anonymous
  • anonymous
So in the case of the paper, cup it false because it was split up into two roots?
anonymous
  • anonymous
Yes. In case you still don't believe me ¬_¬ try putting in some numbers for r and h. sqrt(5^2 + 6^2) = sqrt(61) =/= 5 + 6
anonymous
  • anonymous
Oh, I believe you.
anonymous
  • anonymous
πr√(r^(2))+h^(2)=πr(√(r^(2))+√(h^(2)))=πr(r+h)

Looking for something else?

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