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anonymous
 one year ago
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.
anonymous
 one year ago
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.

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anonymous
 one year ago
Best ResponseYou've already chosen the best response.0@heretohelpalways @Hero @GIL.ojei @DanJS @dan815 @pooja195

jim_thompson5910
 one year ago
Best ResponseYou've already chosen the best response.1Replace r in \[\Large A = \pi*r^2\] with r(t) then replace r(t) with 3t

jim_thompson5910
 one year ago
Best ResponseYou've already chosen the best response.1after all of those replacements, simplify as much as possible

anonymous
 one year ago
Best ResponseYou've already chosen the best response.0so would it be 28.26t

jim_thompson5910
 one year ago
Best ResponseYou've already chosen the best response.1the 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
 one year ago
Best ResponseYou've already chosen the best response.1when you square 3t, you square both pieces 3 squared = 9 t squared is written as t^2

anonymous
 one year ago
Best ResponseYou've already chosen the best response.0so it would be 28.26t^2 for the area of the spill

jim_thompson5910
 one year ago
Best ResponseYou've already chosen the best response.1correct, if you go with using pi = 3.14

jim_thompson5910
 one year ago
Best ResponseYou've already chosen the best response.1in part B, you replace t with 10 and evaluate

anonymous
 one year ago
Best ResponseYou've already chosen the best response.0so i would multiply 28.26 by 100??

jim_thompson5910
 one year ago
Best ResponseYou've already chosen the best response.1you're welcome
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