anonymous
  • anonymous
Help!!! Medal and Fan A bucket of paint has spilled on a tile floor. The paint flow can be expressed with the function r(t) = 3t, where t represents time in minutes and r represents how far the paint is spreading. The flowing paint is creating a circular pattern on the tile. The area of the pattern can be expressed as A(r) = πr2. Part A: Find the area of the circle of spilled paint as a function of time, or A[r(t)]. Show your work. Part B: How large is the area of spilled paint after 10 minutes? You may use 3.14 to approximate π in this problem.
Mathematics
  • Stacey Warren - Expert brainly.com
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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
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anonymous
  • anonymous
@heretohelpalways @Hero @GIL.ojei @DanJS @dan815 @pooja195
jim_thompson5910
  • jim_thompson5910
Replace r in \[\Large A = \pi*r^2\] with r(t) then replace r(t) with 3t
jim_thompson5910
  • jim_thompson5910
after all of those replacements, simplify as much as possible

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anonymous
  • anonymous
so would it be 28.26t
jim_thompson5910
  • jim_thompson5910
the t should be t^2 if you leave it in terms of pi, which is what I would do, it would be \[\Large A(t) = 9\pi*t^2\]
jim_thompson5910
  • jim_thompson5910
when you square 3t, you square both pieces 3 squared = 9 t squared is written as t^2
anonymous
  • anonymous
so it would be 28.26t^2 for the area of the spill
jim_thompson5910
  • jim_thompson5910
correct, if you go with using pi = 3.14
jim_thompson5910
  • jim_thompson5910
in part B, you replace t with 10 and evaluate
anonymous
  • anonymous
so i would multiply 28.26 by 100??
jim_thompson5910
  • jim_thompson5910
yes
anonymous
  • anonymous
so 2826
jim_thompson5910
  • jim_thompson5910
correct
anonymous
  • anonymous
okay thank you
jim_thompson5910
  • jim_thompson5910
you're welcome

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