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elisichi

  • 2 years ago

Could someone help me with the following question?

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  1. elisichi
    • 2 years ago
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    Here's the question.. I have no idea on what to do!

  2. zordoloom
    • 2 years ago
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    Do you need help?

  3. elisichi
    • 2 years ago
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    I kind of do..

  4. amistre64
    • 2 years ago
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    |dw:1353507196703:dw| i might be thinking this to hard, but id say we would need to define the volume of water that can be collected in a year

  5. amistre64
    • 2 years ago
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    |dw:1353507466106:dw|

  6. elisichi
    • 2 years ago
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    I don't get what youre doing :/

  7. amistre64
    • 2 years ago
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    im trying to determine the volume of water that the roof collects by finding the area along the edge of the roof that would collect 50cm of water a year

  8. amistre64
    • 2 years ago
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    then using similar triangles i can add up all the areas along the roof line to cover 7 meters and then multiply it by 12 to get the total volume on one side of the roof

  9. amistre64
    • 2 years ago
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    |dw:1353507706506:dw| but it loks like the area im looking for is 1/4 the area of the bigger triangle

  10. amistre64
    • 2 years ago
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    and 4 of those rake down the roof, which means the area of the big triangle equals the area of the rake .... area of a triangle is base times height divided by 2

  11. amistre64
    • 2 years ago
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    Area = sqrt(48)/2 times 12 is: 6 sqrt(48) 6 sqrt(4.4.3) 24 sqrt(3) is the total volume of water that one side of the roof collects during the year

  12. amistre64
    • 2 years ago
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    how many cubed meters are in a liter?

  13. phi
    • 2 years ago
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    Imagine all the rain fell at once |dw:1353508016540:dw|

  14. amistre64
    • 2 years ago
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    the rest of it seems pretty basic, except for the last one

  15. amistre64
    • 2 years ago
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    phi, should we assume its asking for total roof, or just the side thats showing?

  16. phi
    • 2 years ago
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    good question. I initially focused on 1/2 the roof (due to the picture), but the roof is both sides... I hate trying to be a mind-reader for people that make up these questions

  17. amistre64
    • 2 years ago
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    indeed, but then i got thinking (since a gable end) that the only rain that they barrel catches is the part that falls down the one side ....

  18. phi
    • 2 years ago
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    sounds reasonable. 1/2 the roof it is!

  19. elisichi
    • 2 years ago
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    Im confused..

  20. amistre64
    • 2 years ago
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    |dw:1353508980599:dw| \[V=12\int_{0}^{\sqrt{48}}{(1.5-\frac{x}{\sqrt{48}})-(1-\frac{x}{\sqrt{48}})}~dx\] \[12\int_{0}^{\sqrt{48}}{.5}~dx=12(.5\sqrt{48})\] \[V=6\sqrt{48}\] lol :)

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