Recent content by Matt

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    Segment of a circle (Exact form answer)

    Hello Nascent Oxygen, Totally forgot to thank you for all your help. So here it is, thank you very much. :)
  2. M

    Sum of n consecutive numbers is divisible by n

    Thank you very much for your everyone. I really appreciate it. Mathman, could I run a couple of problems past you if you have a moment? Regards, Matt.
  3. M

    Sum of n consecutive numbers is divisible by n

    Thank you very much for your everyone. I really appreciate it. Mathman, could I run a couple of problems past you if you have a moment? Regards, Matt.
  4. M

    Sum of n consecutive numbers is divisible by n

    I'm trying to investigate this statement: The sum of n consecutive numbers is always divisible by n. I've found already that it's only true when the total amount of numbers is an odd number. I've also found that the median and mean are the same with consecutive numbers. I can not prove that the...
  5. M

    Proportion of Pupils Speaking 3 Languages Out of Total Number of Pupils

    I have attached a screenshot of the question. The methodology and answer that makes sense to me is the following: 29 (Total number of pupils) / 3 (Number of pupils who speak 3 languages) = 9.7 (1 d.p) The answer given: 3 / 29 = 0.1 (1 d.p) Have a misunderstood the question here? Any help is...
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    Segment of a circle (Exact form answer)

    I understand that cos-1 = pi/3. However I'm very confused regarding the rest. I understand using the radius to work out the hypotenuse of the triangle (Formed at the circle's centre) and the segment height is the same as the triangle's base. I'm unsure about denoting the angle at the centre...
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    Segment of a circle (Exact form answer)

    ------------------------------------------------------------------------------------------------ Thank you Nascent Oxygen, That has really cleared things up for me. I have two questions for you, if you don't mind answering them. The first question refers to the answer having to be exact form...
  8. M

    Segment of a circle (Exact form answer)

    Just to check I understand correctly. I would calculate the approximate area of the segment area and the approximate area of the triangle and add them together. Segment area (2.4567) + Triangle area (1.7320) = Sector area (4.1887) 4 * pi / 3 +...
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    Segment of a circle (Exact form answer)

    Also, Thank you very much for your warm welcome. It's good to be on here.
  10. M

    Segment of a circle (Exact form answer)

    ---------------------------------------------------------------------------------------------------------------- Hello Nascent Oxygen, Thank you for your feedback, I appreciate it. The only methods I can think to check if the answer is correct is to use one of the following equations. I...
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    Segment of a circle (Exact form answer)

    Homework Statement Find the circle segment area that has the boundaries of line segment AB and the minor arc ACB. Give the area in an exact form in terms of surds and Pi. (see attachments for annotated picture & original question). Homework Equations Equation 1: Area of a segment = Sector...
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