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anonymous

  • one year ago

A barrel of tomato sauce has spilled on a tile floor. The sauce flow can be expressed with the function r(t) = 2t, where t represents time in minutes and r represents how far the sauce is spreading. The spilled sauce 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 sauce as a function of time, or A[r(t)]. Show your work. (6 points) Part B: How large is the area of spilled sauce after 5 minutes? You may use 3.14 to approximate π in this problem. (4 points)

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  1. anonymous
    • one year ago
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    @peachpi

  2. anonymous
    • one year ago
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    @pooja195

  3. anonymous
    • one year ago
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    A = πr² and r = 2t. How do you write A in terms of t without an r?

  4. anonymous
    • one year ago
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    I am sorry i am very confused on this.

  5. anonymous
    • one year ago
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    |dw:1439490460112:dw|

  6. anonymous
    • one year ago
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    \[A = \pi(2t)^2\]

  7. anonymous
    • one year ago
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    Oh ok :]

  8. anonymous
    • one year ago
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    then just plug in 5 for t to get the area

  9. anonymous
    • one year ago
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    So, \[\pi \left( 2 *5 \right)^{2}?\]

  10. anonymous
    • one year ago
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    yes

  11. anonymous
    • one year ago
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    So just solve it?

  12. anonymous
    • one year ago
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    yes

  13. anonymous
    • one year ago
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    62.831853?

  14. anonymous
    • one year ago
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    no. make sure you're using parentheses just like you typed it here

  15. anonymous
    • one year ago
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    2*5 first then square it then multiply by π

  16. anonymous
    • one year ago
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    314.159265?

  17. anonymous
    • one year ago
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    yes

  18. anonymous
    • one year ago
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    Yay :V. Whats Part A? And whats part B?????????????????

  19. anonymous
    • one year ago
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    a is the equation, b is the number after plugging in 5

  20. anonymous
    • one year ago
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    Oh ok thank you so much!

  21. anonymous
    • one year ago
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    yw

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