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Math Help - triangle

  1. #1
    Junior Member FB FTW's Avatar
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    triangle

    1)
    A teacher has some coins in this pocket.
    He is going to take one of the coins at random.
    He says:

    There are more than four coins in my pocket. The total value of the coins is 25p, The probablity that i will tke 1p coin is "1 OVER 4"
    List all coins that must be in his pocket.

    2) For each eqution below, when x increases by 3, what happens to y?
    Complete the sentences.

    y=x
    When x increases by 3, y increases by...

    y=2x
    When x increases by 3, y increases by...

    y=3x+1
    When x increases by 3, y increases by...

    3) On a square grid draw a triangle with a perimeter of 3(2+ROOT2)cm
    *Im not sure how you could do this one...maybe just theory?

    4) ySQUARED = 10

    So:
    yTO THE POWER OF 4 = 5
    yTO THE POWER OF 20 = 1000

    True or false? And if false state the true values.

    5) what is the number that is the same as 3TO THE POWER OF 100 x 3TO THE POWER OF 100


    Thanks for anyone who helps!
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  2. #2
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    Hello, FB FTW!

    3) On a square grid, draw a triangle with a perimeter of 3(2+\sqrt{2}) cm.

    I tried to visualize the triangle and came up with this:
    Code:
          *
          | *    _ 
        1 |   * √2
          |     *
          * - - - *
              1
    which has a perimeter of 2 + \sqrt{2}


    Therefore, the desired triangle looks like this:
    Code:
          *
          | *
          |   *     _
        3 |     * 3√2
          |       *
          |         *
          * - - - - - *
                3

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  3. #3
    Junior Member FB FTW's Avatar
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    Thanks I guess...So is like each "blip" 1 cm?
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  4. #4
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    Quote Originally Posted by FB FTW View Post
    *BUMP* Any help guys?
    These are pretty urgent...
    The help Soroban's given you is more than adequate. You've been told the lengths. Use a ruler.

    As for the others, please show what you've attempted so far.

    And don't bump.
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  5. #5
    Junior Member FB FTW's Avatar
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    But I dont understand Or the other questions...
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  6. #6
    Junior Member FB FTW's Avatar
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    Ok I got q3.
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  7. #7
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    2)
    y=x
    When x increases by 3, y increases by...3 as they are equal.

    y=2x
    When x increases by 3, y increases by...6 as y is equal to 2 times x.

    y=3x+1
    When x increases by 3, y increases by...surely you can work this one out now.
    If you can't visualise these problems then just try out a few values to see the pattern.

    4)
    ySQUARED = 10

    So:
    yTO THE POWER OF 4 = 5
    yTO THE POWER OF 20 = 1000

    Take the square root of both sides of the equation y^2=10. Take the 4th root of the equation y^4=5. Take the 20th root of the equation y^20=1000. Compare your results, this will let you see if it is true or false. This method solves each equation to find y so that you can compare for consistancy.
    Alternatively you could square the original equation and compare it to the next one. Also take the original equation and raise it to the tenth power and compare it to the third one. This method gives you the real values to compare to the given ones.

    5) 2 to the power of 4 means 2*2*2*2. Similarly 2 to the power of 4 times 2 to the power of 4 means 2*2*2*2 times 2*2*2*2 or just 2*2*2*2*2*2*2*2 or 2 to the power of 8. I think from this example you should be able to answer the question now.
    Last edited by thisisme; November 5th 2008 at 01:35 PM.
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