prism = area of cross-section × length h lengt r Volume of sphere = 4 πr3 3 Surface area of sphere = 4πr2 l Volume of cone = 1 πr2h 3 h Curved surface area of cone = πrl r In any triangle ABC Sine rule C a = b = c sin B sin C sin A Area of triangle = 1 ab sin C 2 a b Cosine rule a2 = b2 + c2 – 2bc cos A A c The Quadratic Equation The solutions of ax2 + bx + c = 0 where a ≠ 0 are given by (185-13) x= −b ± (b 2 − 4 ac ) 2a
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(1) how to find the trigonometric functions using right triangles, (2) compute the values of these functions for some special angles, and (3) solve model problems involving the trigonometric functions. First, let’s review some of the features of right triangles. A triangle in which one angle is 90◦ is called a right triangle. The side opposite to the right angle is called the hypotenuse and the remaining sides are called the legs of the triangle. Suppose that we are given an acute angle θ as shown in
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Score: ______ / ______ Name: ______________________________ Student Number: ______________________ | 1. Elsie is making a quilt using quilt blocks like the one in the diagram. a. How many lines of symmetry are there? Type your answer below. b. Does the quilt square have rotational symmetry? If so, what is the angle of rotation? Type your answers below. | | 2. Solve by simulating the problem. You have a 5-question multiple-choice test. Each question has four choices. You don’t
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of 4 centimeters per minute. Find the rates of change of the area when. [pic] [pic] a. r = 8 centimeters b. r = 32 centimeters [pic] [pic] 4. The included angle of two sides of constant equal length s of an isosceles triangle is [pic]. If [pic] is increasing at a rate of ½ radian per minute, find the rates of change of the area when: [pic] [pic] [pic] a [pic] b. [pic] [pic] [pic] 5. The radius r of a sphere is increasing at a rate of 3 inches per
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Edexcel GCSE Mathematics (Linear) A* Paper (not for the faint hearted) Higher Tier Time: 2 hours Materials required for examination Items included with question papers Ruler graduated in centimetres and Nil millimetres, protractor, compasses, pen, HB pencil, eraser. Tracing paper may be used. Instructions to Candidates__
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Writing Task 1 Exercise 1.2 - p.24 2.) If the public education fails to improve the quality of instruction in both primary and secondary schools, then it is likely that it will lose additional students to private sector in the years ahead. Answer: Conditional 5.) it is strongly recommended that you have your house inspected for termite damage at the earliest possible opportunity. Answer: Advice 7.) If stem-cell research is restricted, then future cures will not materialize. If future
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- cos y = -2 sin( (x-y)/2 ) sin( (x + y)/2 ) Trig Table of Common Angles | angle | 0 | 30 | 45 | 60 | 90 | sin2(a) | 0/4 | 1/4 | 2/4 | 3/4 | 4/4 | cos2(a) | 4/4 | 3/4 | 2/4 | 1/4 | 0/4 | tan2(a) | 0/4 | 1/3 | 2/2 | 3/1 | 4/0 | Given Triangle abc, with angles A,B,C; a is opposite to A, b oppositite B, c opposite C: a/sin(A) = b/sin(B) = c/sin(C) (Law of Sines) c2 = a2 + b2 - 2ab cos(C)b2 = a2 + c2 - 2ac cos(B)a2 = b2 + c2 - 2bc cos(A) | | (Law of Cosines) | (a - b)/(a + b) = tan
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or like drawing, then geometry is for you! Geometry can be divided into: Plane Geometry is about flat shapes like lines, circles and triangles ... shapes that can be drawn on a piece of paper Solid Geometry is about three dimensional objects like cubes, prisms and pyramids. Plane Geometry Plane geometry is all about shapes like lines, circles and triangles ... shapes that can be drawn on a flat surface called a Plane (it is like on an endless piece of paper). Plane A plane is a flat surface
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A Kaleidoscope of Symmetry When I was a kid, I used to be fascinated with these little toy telescopes. It was not a typical telescope, though. It was special because, when you took a peek through the lens, all sorts of flowers from far off places would magically appear and it would leave me breathless. Of course, now I know a little bit more about these so-called telescopes, also known as kaleidoscopes. A kaleidoscope is an optical toy that can be consisted of multiple arts and craft materials
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Week 1 - Information Systems Strategy Triangle |Business Strategy Elements |Organizational Strategy Elements |Information Strategy Elements | |Short merchandise production cycle |Vertical integration |Strategic i.t investments, minimum i.t use with | | |
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