right triangles go hand-in-hand in physics because (among other things) motions along perpendicular directions are independent. We very often need to separate a vector into perpendicular components. For example, given a vector likeA in Figure, we may wish to find which two perpendicular vectors, Ax and Ay, add to produce it. The vector A, with its tail at the origin of an x, y-coordinate system, is shown together with its x- and y-components, Ax and Ay. These vectors form a right triangle. The analytical
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not indicate in which direction the 2x + 9 paces should go, it can be assumed that his and Buckwheat’s paces should end up in the same place. When sketched on scratch paper, a right triangle is formed with 2x + 9 being the length of the hypotenuse, and x and 2x + 6 being the legs of the triangle. When a right triangle is involved, the Pythagorean Theorem helps solve for x.
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BELL RINGERS – THE NUMBER SYSTEM – GRADE 8 Task 1 - Which of the following numbers are perfect squares? Explain your reasoning. 5, 9, 36 and 41 Task 2 - Which of the following numbers are perfect cubes? Explain your reasoning. 8, 12, 27 and 64 Task 3 - Problem: Represent the following rational number in fraction form 0.333? Task 4 - Instructions: Decide whether each of the following numbers is rational or irrational. 1. 0.333 ______________________ 2
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Learning Activity 5: Paper Works (Hand-outs Use) Name of FS Student: Geraldine S. Sitoy Course: BTTE Year & Section: 4A Resource Teacher: Cooperating School: Grade Level Observed: My Goal At the end of this activity, I will gain competence in making instructional materials (hand-outs) appropriate to the learning content. My Tasks I am going to choose one or two hand-outs used by the teacher in her lesson. Analyze the hand-outs in terms of its contents, learning activities, and assessment plan
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program will calculate the area of a right triangle. The program will ask the user to enter the base and height and then use these values to calculate and then print the area of the triangle. If the area of the triangle is greater than 100 square units, an additional message is printed stating the triangle is too large for the specification. However; if the triangle is less than or equal to 100 square units, the additional message will state the triangle is within specifications. The design step will
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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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