of prism = area of cross-section × length crosssection h lengt 4 Volume of sphere = – π r 3 3 r Surface area of sphere = 4 π r 2 1 Volume of cone = – π r 2 h 3 l r h Curved surface area of cone = π rl In any triangle ABC Area of triangle = 2 ab sin C Sine rule 1 C b c sin C a c B a sin A = b sin B = A Cosine rule a 2 = b 2 + c 2 – 2bc cos A The Quadratic Equation The solutions of ax 2 + bx + c = 0, where a ≠ 0, are given by x= – b ±
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Programming loops, functions, arrays, strings, files, and basic classes with C++. 1. Design a monthly rainfall summary from a file of daily rainfall readings. Each of the four lines in the file begins with a number specifying the week of the month, followed by a series of seven numbers representing the rainfall value for each day that week. Your program should output the rainfall data, including the average rainfall value for each week. 2. Design a billing summary report from a file of billing
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Random numbers in C++ and The Pythagorean Theorem Literature Review Name Course Date Literature Review The increase in technological advancements has seen a similar increase in the number of computer programs which are designed to command a computer to carry out a given specified task. The number of languages that are available which are used in this creation and design include Java Script, C++, Java and Sage. It is worth noting that while these are the most notable ones, the number of
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both because you can visualize all of the make up and the colors. - Another example of detail from the book “The Bell Jar” is (pg. 210) “I looked with love at the lineup of waiting trays- the white paper napkins, folded in their crisp, isosceles triangles, each under the anchor of its silver fork, the pale domes of soft-boiled eggs in the blue egg cups, the scalloped glass shells of orange marmalade”. This description of breakfast is known as the detail element due to the amount of great detail it
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Topic A: Basic Constructions (G-CO.1, G-CO.12, G-CO.13).................................................................................... 7 Lesson 1: Construct an Equilateral Triangle ............................................................................................. 8 Lesson 2: Construct an Equilateral Triangle II ........................................................................................ 16 Lesson 3: Copy and Bisect an Angle..............................................
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2008 GO ON TO THE NEXT PAGE I SECTION II Answer TWO questions in this section. RELATIONS, FUNCTIONS AND GRAPHS Page l0 ( lmark) ( 2 marks) ( lmark ) ( 2 marks) ( 2 marks) 9. (a) Simplify (i) * * (ii) t'xt+)f 35 oibi*J"ut. If"flr) = ?-x- 3, find the value of (i) fl2) (ii) ,f-t(o) (iii) f-'f(z) f o) (c) The temperature, K, of a liquid t minutes after heating is given in the table belowt (time in minutes) 0 10 20 30 40 50 60 K (Temp. in "C) 84 6l 4D 29 27 26 25 Using a
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Name Class Date [pic] Triangle Congruence by SSS and SAS 4-2 Reteaching You can prove that triangles are congruent using the two postulates below. Postulate 4-1: Side-Side-Side (SSS) Postulate If all three sides of a triangle are congruent to all three sides of another triangle, then those two triangles are congruent. If [pic], [pic], and [pic], then ∆JKL ( ∆XYZ. In a triangle, the angle formed by any two sides is called the included angle for those sides. Postulate 4-2: Side-Angle-Side
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.............. 3 Topic A: Area of Triangles, Quadrilaterals, and Polygons (6.G.A.1) .................................................................... 13 Lesson 1: The Area of Parallelograms Through Rectangle Facts ............................................................ 15 Lesson 2: The Area of Right Triangles ..................................................................................................... 31 Lesson 3: The Area of Acute Triangles Using Height and Base ............
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letter resembled an isoceles triangle. My letter has two sides that are the same length and two of base angles are the same in length. The definintion of an isoceles triangle is a triangle with two sides of equal length and two congruent base angles. The letter A I built and isoceles triangle are almost a perfect match. Another geometry concept that connectes with my letter, A was an acute angle. An acute angle is an angle that is less than 90 degrees. The triangle inside the letter A I constructed
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Tutoring and Testing Center REVIEW OF BASIC MATHEMATICAL RULES Rules for Signed Numbers Addition Rules: positive + positive = (add) positive Ex: 2 + 1 = 3 negative + negative = (add) negative Ex: –3+ (–5) = –8 negative + positive = (subtract) and take sign of number with largest absolute value Ex: 2 + (–10) = –8 Ex: –14 + 16 = 2 ------------------------------------------------------------------------------------------------------------------Remember: –(–7) means take the
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