Objective To prove Distance formula = by experimentally Pre-knowledge We know Pythagoras Theorem Area of triangle Some Knowledge about coordinate Rules for signs of Co-ordinates Axes of Co-ordinates Geometrical Representation of quadratic polynomials Material Required Coloured Glazed paper Pair of scissors Geometry box Graph paper Drawing sheet Colour stick Pencil colour Fevistick/ Gum Procedure Let two points P(x1‚y1) and Q(x2‚y2) on graph sheet. And draw a set of perpendicular
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Name: ________________________ Class: ___________________ Date: __________ ID: A Ch 5 Review Multiple Choice Identify the choice that best completes the statement or answers the question. ____ 1. Find the value of x. The diagram is not to scale. a. ____ 32 b. 50 c. 64 d. 80 2. B is the midpoint of AC‚ D is the midpoint of CE‚ and AE = 11. Find BD. The diagram is not to scale. a. 5.5 b. 11 c. 1 22 d. 4.5 Name: ________________________ ____ 3. Points B‚ D‚ and F are midpoints
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Phytagoras was born in 570 BC‚ on the island of Samos‚ in the Ionian region. Pythagoras was the most recognized Greek mathematician and philosopher through his theorem. Known as "Father of Numbers"‚ he made an important contribution to philosophy and religious teaching in the late 6th century BC. His life and teachings are not so obvious as there are many legends and artificial tales about him. In Greek tradition‚ it is said that he traveled a lot‚ including to Egypt. Phytagoras’s journey to
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θ = cos−1 5. A supporting cable of length 30 m is fastened to the top of a 20m high mast. What angle does the cable make with the ground? How far away from the foot of the mast is it anchored to the ground? Solution We can use Pythagoras’ Theorem but we shall use trigonometry here. We first find the
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(mathematics and astronomy) and Anaximander (philosophy‚ geometry). Pythagoras Theorem Years ago‚ a man named Pythagoras found an amazing fact about triangles: If the triangle had a right angle (90°) and you made a square on each of the three sides‚ then the biggest square had the exact same area as the other two squares put together! It is called "Pythagoras’ Theorem" and can be written in one short equation: a2 + b2 = c2 Note: 1. c is the longest side of the triangle
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carefully before youthe end. answer it. heck your answers if you have time at • Turn over P38579A ©2011 Edexcel Limited. 6/6/6/6/6/4/3 *P38579A0124* IGCSE MATHEMATICS 4400 IGCSE MATHEMATICS FORMULAE SHEET – HIGHER TIER Pythagoras’ Theorem c Volume of cone = r 2h r3 Surface area of sphere = 4 r2 r l a a2 + b2 = c2 4 3 Volume of sphere = Curved surface area of cone = rl b hyp 1 3 h r opp adj = hyp cos opp = hyp sin opp = adj tan
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EXPERIMENT NO. 10 Thevenin’s Theorem Objectives: 1. To verify the Thevenin’s theorem through an experiment. 2. To find the Thevenin’s resistance RTH by various methods and compare values. Equipment: Resistors‚ DMM‚ breadboard‚ DC power supply‚ and connecting wires. Theory: Thevenin theorem states that any linear two-terminal circuit can be replaced by an equivalent circuit consisting of a voltage source VTH in series with a resistance RTH where * VTH is the open-circuit voltage at
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it inside its book jacket. 2. Solve 2 sample papers (sec A‚ B‚ C) in a separate notebook. 3. Write an interesting script for the radio show for FA activity. 4. Revise ‘Literature’ FA1 syllabus covered in the class. MATHS:Q 1 Use the factor theorem to determine whether x-1 is a factor of 2√2 x3 + 5√2x2+7√2 Q 2 Find the value of a‚ if x+a‚is a factor of the polynomials: a) x3+ax2-2x+a+4 b) x4—a2x2+3x-6a Q 3 Factorise a) p2+q2+9r2+2pq+6qr+6pr b) 4a2+b2+4ab+8a+4b+4 Q 4 Find 553+(-25)3+(-30)3
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Bayes’ theorem describes the relationships that exist within an array of simple and conditional probabilities. For example: Suppose there is a certain disease randomly found in one-half of one percent (.005) of the general population. A certain clinical blood test is 99 percent (.99) effective in detecting the presence of this disease; that is‚ it will yield an accurate positive result in 99 percent of the cases where the disease is actually present. But it also yields false-positive results in 5
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included pupils of Plato‚ who was a philosopher and one of the most influential thinkers in Western philosophy. Euclid thought geometry in Alexandria and opened a school of mathematics there. He also wrote Data‚ which was a collection of geometrical theorems; Phenomena‚ a description of the heavens; and The Division of the Scale‚ which is a mathematical discussion of music. But yet again many historians believe many of these works (other than the Elements) were spuriously credited to him‚ others disagree
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