because the bigger the string‚ the greater the distance the pendulum needs to travel and so the more time it will take. This will occur because the string is like the radius of the circle and so changing the length of string will change the circumference of the circle‚ so the longer the piece of string; the bigger the circle‚ and the bigger the distance that the pendulum will travel. Equipment List: - string (180 cm) – to be tied to the weight to make the pendulum - small weight (50g) –
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(x) = 25 (vi) Evaluate:- (vii) If the angle between two lines is and the slope of one of the lines is ‚ find the slope of the other line. (viii) Using the principle of mathematical induction. Prove that:- (ix) Find the equation of circle whose centre is ( 4‚ -3 ) and radius is 10. (x) Prove that : Question 2 (a) Find the sum of n terms of the series [4] (b) If the coefficient of in the expansion of are in A.P.prove that [6] Question 3 (a) Find the
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Time Frame: 45 min Prior to this lesson the students had a lesson on attributes. The children defined and identified attributes in different two-dimensional shapes. MA Framework Standard: Geometry K.G Identify and describe shapes (squares‚ circles‚ triangles‚ rectangles‚ hexagons‚ cubes‚ cones‚ cylinders‚ and spheres). 2. Correctly name shapes regardless of their orientations or overall size. Identify shapes as two-dimensional (lying in a plane‚ “flat”) or three-dimensional (“solid”).
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time of execution. 6. WAP to to print following pattern (Pascals Triangle) 1 1 1 1 2 1 1 3 3 1 1 4 6 4 1 7. Write a Java program that accepts the radius of a circle and displays the options as follows : 1. find diameter of a cicle.(2* radius) 2. find area of circle.( _ * radius * radius) 3. find circumference of a circle.( 2 * _ * radius) 4. exit. Use case statement to implement each option and display the corresponding output. 8. Define a class called fruit with the following
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In the poem "A Valediction: Forbidding Mourning"‚ by John Donne‚ the speaker is consoling his lover who is mournful of the speaker’s imminent departure. The speaker is saying that since they have stronger than ordinary love for one another‚ their love will endure the separation. Donne uses metaphysical conceits and comparative imagery to illustrate the crux of the poem. The speaker is reassuring his lover by reminding her of how great their love is; it transcends the physical and therefore will overcome
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45 degree angle. Now the question arises of how he has derived this particular degree angle. The magic is the octave based system. The circle is the answer for everything in life. Take a small or big circle it has 360 degrees. Mr. Gann said that divide the circle by octave and you will get 45 degree angle. Here we are trying to connect the octave based circle with the natural year based on octave. Because from various writings Mr. Gann has said that 45 degree is important and the solstices are
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Gregory‚ and the Bible. The first proof I will be talking about is Liu Hui’s. Liu Hui was a Chinese mathematician whose method for proving pi was to find the area of a polygon inscribed in a circle. When the number of sides on the inscribed polygon increased‚ its area became closer to the circumference of a circle and pi. For finding the side length of an inscribed polygon Liu Hui used a simple formula. (13Ma3) To find the side length of an inscribed polygon of 2n sides‚ if the side length of a polygon
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CL AS S 9 SAMPLE PAPER International Mathematics Olympiad The actual test paper has 50 questions. Time allowed : 60 minutes. There are 3 sections: 20 questions in sec tion I‚ 20 in section II and 10 in section III. S Y L L A BU S Section – I (Logical reasoning) : Mathematical operations‚ Series completion‚ Arithmetical Reasoning‚ Problems on c ubes and dice‚ Number ranking & Time sequence Test‚ Inserting missing character and general reasoning based on prescribed syllabus. Section
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( b) 26 cm ( c ) 24 cm ( d ) 28 cm Ans b A circle is inscribed in a triangle with sides 8‚ 15 and 17cm. The radius of the circle is (a) 6cm (b) 5cm (c) 4cm (d) 3cm Ans d Rahim and karim are friends. What is the probability that both have their birthdays on the same day in a non-leap year ? (a) 1 365 (b) 1 7 (c) 100 1 53 (d) 7 365 Ans. A Q.7 The circumference of a circle is 100 cm. the side of a square inscribed in the circle is (a) 50 2 cm (b) π cm (c) 50
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A Roll No. • Please check that this questionnaire contains 11 printed pages. • Code A‚ B or C given on the right hand top corner of the questionnaire should be written on the answer sheet in the space provided. • Please check that this questionnaire contains 60 questions. 29th ARYABHATTA INTER-SCHOOL MATHEMATICS COMPETITION – 2012 CLASS - VIII Time Allowed: 2 Hours Max. Marks: 100 _____________________________________________________________________ GENERAL INSTRUCTIONS: 1.
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