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11 Solutions to exercises and problems Page 1 PAGE 180 P ractice similar Figures 1 Which of these figures are similar? What is the similarity ratio? F1 F2 F3 F1 is like AF3. The similarity ratio is 3. 2 2 a) the inner and outer triangles similar? b) How many units will measure kitchen bins the legs of a triangle similar to the minor whose similarity ratio is 2.5? a) No. larazón between the legs is 2 inside and 5 outside. July 3 b) 2 3 2.5 = 5 2.5 = 7.5 The legs measure 5 to 7.5 units. 3 A photograph of 9 cm wide and 6 cm high is around one de2 frame, 5 cm wide. Are the inner and outer frame rectangles similar? Responds reasonably. 6 9 November 14, 14? August 11 are not similar. June 9, 11 Solutions to exercises and problems Page 24 A jeweler wants to play a brooch like the figure doubling in size. 1 cm) Make a drawing of the enlarged figure. b) Calculate the surface. a) 1 inch b) The area between the two bottoms sepuede find simply by counting squares: 26 + 12 = 38 cm2 The top is a half circle of radius 2 Therefore, the area is: 1. (π r2) = 1 π = 2π 22 cm2 February 2 The total area of the figure is: S = (38 + 2π) cm2 5 A rhombus whose diagonals measure 275 cm and 150 cm, what area will take on a plane from 1:25? Area = 275 150 = 20 625 cm2 2 In the plane will occupy 20 625 = 33 cm2. 252 6 A maquetaestá made 1:250. Calculate: a) The dimensions of a cylindrical tower in the model is 6 cm and 4 cm in diameter. b) The surface of a garden in the model occupies 40 cm2. c) The volume of unapiscina that the model contains 20 cm3 of water. 11 Solutions to exercises kitchen bins and problems kitchen bins Page 3 a) 1 inch 8250 cm h = 1500 cm = 15 m 6 cm 8 h d = 1000 cm = 10 m 4 cm 8 d The [continued]
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