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
Premium Volume Triangle Question
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
Premium Triangle Regular polygon
D= 102(10-3) D = 35 144n = 180 (n-2) n = 10 2D = 10(7) Answer: D = 35 #21. The ratio of areas between two similar triangles is 1:4. If one side of the smaller triangle is 2 units‚ find the measure of the corresponding side of the other triangle. Given: 2
Premium Angle Area Triangle
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
Premium Circle Geometry Pythagorean theorem
Introduction: “You can learn more from solving one problem in many different ways than you can from solving many different problems‚ each in only one way.” Islamic civilization in the middle ages‚ like all of Europe‚ had a dichotomy between theoretical and practical mathematics. Practical mathematics was the common subject‚ “whereas theoretical and argumentative mathematics were reserved for specialists” (Abedljaouad‚ 2006‚ p. 629). Between the eighth and the fifteenth centuries‚ Islamic civilization
Premium Pythagorean theorem Decimal Triangle
How does Obama use rhetorical devices in his speech effectively to engage his audience? Throughout Obama’s speech he uses many different examples of rhetorical devices such as alliteration‚ personification‚ triad‚ allusion and an inclusive pronoun. Alliteration is used effectively in Obama’s speech. An example would be “depths of despair to the greatest heights of hope”. The fact that he goes from the worst to the best corrects the listener’s minds and provides an insight into just how good things
Premium Rhetorical techniques Rhetoric Audience theory
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
Premium Angle Real number Triangle
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
Premium Real number Quadratic equation Cartesian coordinate system
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
Premium Regular polygon Angle Integer
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
Premium Greece Triangle Turkey