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Math Help - 2 Math Homework Problems

  1. #1
    Newbie
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    Sep 2009
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    6

    Exclamation 2 Math Homework Problems

    1) In the Attachment
    (mind the drawing)

    AC is not the diameter because the chord does not pass through the center.

    Pentagon Integer: 360/5 = 72 degrees

    Area of Circumscribed circle is?

    (Need in Details, how you exactly you did)

    2) Dog, Cat, and Mouse Prob.

    [Land] [Animals][Person] [Lake] [Land]

    Rules:

    • The person can only take 1 animal across
    • Dog eats Cat
    • Cat eats Mice

    Question:
    Minimum Trips to get everyone across? (Can go back and forth)

    and I need the trips (ex: trip1: got the cat, trip2: went back, etc), not just the answer.

    Thank you!
    Attached Thumbnails Attached Thumbnails 2 Math Homework Problems-untitled2.jpg  
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  2. #2
    MHF Contributor
    Joined
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    Your circle with regular pentagonal star.

    1) Construct Angle Bisector at A
    2) Construct Angle Bisector at B
    3) Notice that you also just constructed the perpendicular bisector of AC.
    4) Angle bisector from B intersects AC at point F. Label it.
    5) The angle bisectors intersect at the Center of the circle. Call this O.
    6) You have a right triangle, CFO.
    7) Hypotenuse is Circle Radius.
    8) Interior Acute Star angles are 36. Half of that is 18
    9) cos(18) = 5 / Radius.

    I have no doubt there is an easier way.
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