anonymous
  • anonymous
Can someone please check my answers?! Medal + Fan!
Mathematics
  • Stacey Warren - Expert brainly.com
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SOLVED
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chestercat
  • chestercat
I got my questions answered at brainly.com in under 10 minutes. Go to brainly.com now for free help!
anonymous
  • anonymous
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. (6 points) Part B: How large is the area of spilled paint after 10 minutes? You may use 3.14 to approximate π in this problem. (4 points)
anonymous
  • anonymous
I'm still working on Part B.
DanJS
  • DanJS
that looks right for part A

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DanJS
  • DanJS
For the growing circle, The Area is a function of the radius, and the radius i a function of time...
DanJS
  • DanJS
Area----->Radius---->time
DanJS
  • DanJS
use t=10 min in your Area function
anonymous
  • anonymous
My mom helped me with Part B, but neither of us really understand it. We kinda suck at math, unfortunately :/
anonymous
  • anonymous
@DanJS If the area is a function of the radius and the radius is a function of time, wouldn't I have to use t = 10 in my radius function and not the area function?
DanJS
  • DanJS
it doesnt matter, try it both ways, same answer
DanJS
  • DanJS
Calculating A(r(t)) is the same as first finding r(t) then using that in A(r)
DanJS
  • DanJS
Right, and the same answer if you use A(r(t)) 28.26 * 10^2 = 2826
anonymous
  • anonymous
So my work is right?
DanJS
  • DanJS
yes, looks good
anonymous
  • anonymous
Thank you so much! I really appreciate your help! :)
DanJS
  • DanJS
no prob, goodluck
anonymous
  • anonymous
what was part A?
anonymous
  • anonymous
π(3t)^2 ^ That equation will help you find the answer. You multiply 3.14 times 3^2 times t^2
anonymous
  • anonymous
So it'll look like: (3.14)(9)(t^2) Then multiply. The answer is 28.26t^2
anonymous
  • anonymous
Wait can you please explain what is part A and B? please
anonymous
  • anonymous
@DanJS please help me

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