section × length 1 Area of trapezium = 2 (a + b)h a cross section h h lengt b Volume of cone = 1 r2h 3 Curved surface area of cone = rl Volume of sphere = 4 r3 3 Surface area of sphere = 4 r2 r l h r In any triangle ABC b A Sine Rule The Quadratic Equation The solutions of ax2 + bx + c = 0 where a ≠ 0‚ are given by C a B c x= −b ± (b 2 − 4ac) 2a
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there for the length of the third side of the triangle? A1 B2 C3 D4 21. The square ABCD has an area of 196. It contains two overlapping E more than 4 A B squares; the larger of these squares has an area 4 times that of the smaller and the area of their overlap is 1. What is the total area of the shaded regions? A 44 B 72 E more information is needed C 80 MT UK UK MT 20. Jack’s teacher asked him to draw a triangle of area 7cm2. Two sides are to be of length
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points) 1. Write a paragraph describing the relationship between triangles and circles. Be sure to include a description of the different centers a triangle can have. Answer: Angles and points on the circumference of a circle are the same thing. A point on the unit circle is the same as a right triangle formed by a radius to the point and its perpendicular to the x-axis. Hence sines and cosines which come from ratios of legs of a right triangle to the length of the hypotenuse are also the coordinates of
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MATHEMATICS CURRICULUM FOR SECONDARY COURSE RATIONALE Mathematics is an important discipline of learning at the secondary stage. It helps the learners in acquiring decision- making ability through its applications to real life both in familiar and unfamiliar situations. It predominately contributes to the development of precision‚ rational and analytical thinking‚ reasoning and scientific temper. One of the basic aims of teaching Mathematics at the Secondary stage is to inculcate the skill
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CONTENTS INTRODUCTION 3 DESCRIPTION 5 UNIT CREDIT 6 TIME ALLOTMENT 6 EXPECTANCIES 7 SCOPE AND SEQUENCE 8 SUGGESTED STRATEGIES AND MATERIALS 9 GRADING SYSTEM 10 LEARNING COMPETENCIES 11 SAMPLE LESSON PLANS 30 INTRODUCTION This Handbook aims to provide the general public – parents‚ students‚ researchers‚ and other stakeholders – an overview of the Mathematics program at the secondary level. Those in education‚ however‚ may use it as a
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STEP Civil Service Orientation Project Sample Question Paper for IAS Prelims CSAT‚ Set ‐ 2 2012 w w w . s k s s f s t e p . b l o g s p o t . i n Page 1 Q.1. An equilateral triangular plate is to be cut in to n number of identical small equilateral triangular plates. Which of the following can be possible value of n? (a) 196 (b) 216 (c) 256 (d) 296 Q.2. Find the area of the sector covered by the hour hand after it has moved through 3 hours and the length of the hour hand is 7cm. (a) 1. 77 sq.cm
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constant elevation‚ as suggested by the diagram below left. By measuring the net distance traveled in each of two perpendicular directions‚ the lengths of two legs of a right triangle are determined‚ and the hypotenuse of the triangle is the proposed line of the tunnel. By laying out smaller similar right triangles at each entrance‚ markers can be used by each crew to determine the direction for tunneling. Later in this article I will apply Hero’s method to the terrain on Samos. Hero’s
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Area of triangle + Area of rectangle= Area of pentagon C. Differentiation D. The quadratic equation The quadratic formula OR Factorization of the quadratic formula E. Problem solution A Problem diagram E B ycm D 8xcm C i) F is the mid-point of line EB and it’s also the perpendicular of triangle EAB. The line AF cuts triangle EAF in half
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construction of those buildings. Understanding how to solve math problems becomes easier as one learns math terminology. Below is a list of many common math terms and their definitions. Acute angle – An angle which measures below 90°. Acute triangle – A triangle containing only acute angles. Additive inverse – The opposite of a number or its negative. A number plus its additive inverse equals 0. Adjacent angles – Angles with a common side and vertex. Angle – Created by two rays and containing an
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above triangle and find the value of B‚ b‚ and c. A. A+B+C=180 B. A+C=48+97=145 C. B=180-145=35 2. Two sides and an angle (SSA) of a triangle are given. Determine if the given measurements produce one triangle‚ two triangles‚ or no triangle at all. Sin B)/5=sin70/7 Sin B/5=0.9397/7 Sin B=0.6712 then B=42 or 138〗 B = 138 is impossible since 138 + 70 = 208 and exceeds 180 B=42 since 42+70 = 112 and less than 180 C = 180 – 112 = 68 There’s only one triangle 3
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