help_people
  • help_people
Please check if this is right???
Mathematics
  • Stacey Warren - Expert brainly.com
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SOLVED
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jamiebookeater
  • jamiebookeater
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help_people
  • help_people
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.
help_people
  • help_people
Part A: You will plug in 3t to A(r) = pir^2 When you plug in the 3t you get: A[r(t)]= pi(3t)^2 =pi * (3t)^2 =pi * (3t * 3t) =28.274334t^2 ( I was just simplifying). Part B: 30 is r, because 30 is the radius after 10 minutes: π(30)2=900π = 900 x 3.14=2826
help_people
  • help_people
@hartnn @Elsa123

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hartnn
  • hartnn
part A, don't simplify, write \(9\pi t^2\) as the answer. part B, writing units would be better 2826 sq. units
help_people
  • help_people
it also says show your work for part a so what would i put and ok for part b
hartnn
  • hartnn
you did show your work for part A properly, just keep the final answer as 9pi t^2 and instead of writing answer for part B as 2826 write 2826 sq. units
hartnn
  • hartnn
Part B: 10 is r, because 10 is the radius after 10 minutes: 9π(10^2)=900π = 900 x 3.14=2826 sq units. ^^^
help_people
  • help_people
yes i saw :)
hartnn
  • hartnn
wait
help_people
  • help_people
I'm here :)
hartnn
  • hartnn
Part B: 10 is t, because we need area after 10 minutes: 9π(10^2)=900π = 900 x 3.14=2826 sq units. ------------------ t =10, 10 is actually time :P
help_people
  • help_people
Is this what you would like me to do with Part A? : Part A: You will plug in 3t to A(r) = pir^2 When you plug in the 3t you get: A[r(t)]= pi(3t)^2 =pi * (3t)^2 =pi * (3t * 3t) =9pit^2
hartnn
  • hartnn
yep
help_people
  • help_people
ok so is 30 still radius or ?
help_people
  • help_people
(just out of curiosity)
hartnn
  • hartnn
where did you get 30 from?? i don't even see 30 in the question :P
hartnn
  • hartnn
but yes, 30 will be the radius after 10 minutes :)
triciaal
  • triciaal
yes
help_people
  • help_people
I believe i multiplied 10 x 3 in 3(t) to get 30 and called it radius. To think about it that was stupid.
triciaal
  • triciaal
@hartnn r(t) = 3t and 10 = 10 so r = 30
hartnn
  • hartnn
yes, i agreed, r =30
help_people
  • help_people
Is this what you wanted me to do with part a: Part A: You will plug in 3t to A(r) = pir^2 When you plug in the 3t you get: A[r(t)]= pi(3t)^2 =pi * (3t)^2 =pi * (3t * 3t) =9pit^2
hartnn
  • hartnn
yes, part A is perfect
help_people
  • help_people
wait so what about pt b?
help_people
  • help_people
Part B: 10 is t, because we need area after 10 minutes: 9π(10^2)=900π = 900 x 3.14=2826 So, the answer is 2826 sq. units.
hartnn
  • hartnn
Part B: 10 is t, because we need area after 10 minutes: 9π(10^2)=900π = 900 x 3.14=2826 sq units. yesss
help_people
  • help_people
ok so everything is bueno?
hartnn
  • hartnn
bueno? yes, everything is okay :)

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