smaller outside triangles. The outside triangles are isosceles triangles and all are equal to each other; furthermore‚ the tridecagon can be divided into thirteen isosceles triangles which are also equal to each other. Diamonds are formed from the combined outer and inner triangles. Thirteen diamonds are formed from the divided triskaidecagram and they are equal to each other. In finding the area of a thirteen-pointed star‚ the usual form is getting the area of one of the outer triangles then multiply
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1. If a line y = x + 1 is a tangent to the curve y2= 4x ‚find the point the of contact ? 2. Find the point on the curve y = 2x2– 6x – 4 at which the tangent is parallel to the x – axis 3. Find the slope of tangent for y = tan x + sec x at x = π/4 4. Show that the function f(x) == x3– 6x2 +12x -99 is increasing for all x. 5. Find the maximum and minimum values‚ if any of 6. For the curve y = 3x² + 4x‚ find the slope of the tangent to the curve at the point x = -2. 7. Find
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Amongst the lay public of non-mathematicians and non-scientists‚ trigonometry is known chiefly for its application to measurement problems‚ yet is also often used in ways that are far more subtle‚ such as its place in the theory of music; still other uses are more technical‚ such as in number theory. The mathematical topics of Fourier series and Fourier transforms rely heavily on knowledge of trigonometric functions and find application in a number of areas‚ including statistics. There is an enormous
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TECHNICAL DRAWING APPLICATIONS (65) (Candidates offering Technical Drawing are not eligible to offer Technical Drawing Applications.) Aims: 1. To develop competence among the students to pursue technical courses like Engineering‚ Architecture‚ Draftsmanship Surveying and other professional courses. 2. To understand basic principles of instrumental drawing drawn to scale and to acquire basic skills in the use of traditional drafting methods which would also be helpful in understanding computer aided
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Bearing is always calculated from the north in a clockwise direction. Bearing is always a three digit numbers. Draw the following bearing of a) 0600 from A to B c) 2400 from P to Q b) 1100 from P to Q d) 3000 from X to Y. Answer the following questions. 1. The bearing of B from A is 0650. Find the bearing of A from B. 2. The bearing of Y from X is 1350. Find the bearing of X from Y. 3. The bearing of P from Q is 2200. Find the bearing of Q from P. 4.
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Name:____________________________ Period: ________ Using Triangle Skills to Solve Problems For each word problem below‚ you must draw a picture and show your work towards a solution. Solutions are given for each problem. Since these are real-life type problems‚ answers should be decimal approximations as opposed to being in simplest radical form. You are allowed to use anything you know about triangle similarity‚ right triangles and right triangle trigonometry. This assignment is a learning target
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PLANE AND SPHERICAL TRIGONOMETRY 3.1 Introduction It is assumed in this chapter that readers are familiar with the usual elementary formulas encountered in introductory trigonometry. We start the chapter with a brief review of the solution of a plane triangle. While most of this will be familiar to readers‚ it is suggested that it be not skipped over entirely‚ because the examples in it contain some cautionary notes concerning hidden pitfalls. This is followed by a quick review of spherical coordinates
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the ethical appeal‚ emotional appeal and logical appeal or the ethos‚ pathos‚ and logos. These three groups make a rhetorical triangle. A rhetorical triangle is typically represented by an equilateral triangle‚ suggesting that all elements are balanced‚ however in this commercial the logical element is more influential‚ making this rhetorical triangle more like a right triangle. Ethos or the ethical appeals‚ are elements based upon the creditability and character of the author‚ company‚ or people
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De La Salle Health Sciences Institute Math 113 Final Output “THE MATHEMATECAL CONCEPTS BEHIND A WHEELCHAIR” Submitted to: Ms. Mae Salansang Submitted By: Fernandez‚ Mitzi Joy Herradura‚ Phyllis Yna Masajo‚ Queenie Nicole Redoble‚ Mycah Marie Santos‚ Jhuneline Tampos‚ John Pablo BSPT 1 – 4 “THE MATHEMATECAL CONCEPTS BEHIND A WHEELCHAIR” Introduction Wheelchairs come in all shapes and sizes. People who have issues with immobility or decreased sensation frequently cannot
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CHAPTER 1 INTRODUCTION 1.1 Introduction Geometry is one of the most interesting fields of mathematics. From the ancient times of the Greeks up to now‚ it has held captive the imagination of many mathematicians‚ artists‚ scientists‚ engineers and architects. Its application to modernization and technological advancement cannot be denied. Thus‚ it must be given emphasis in educational institutions particularly in secondary schools. The low achievement test results in mathematics of high
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