Castle Rock‚ walk x paces to the north‚ and then walk 2x + 4 paces to the east. If they share their information‚ then they can find x and save a lot of digging. What is x? The Pythagorean Theorem states to find the missing side of a right triangle you can square to know lengths and add the two together. The result will be the distance of the missing length squared. A^2+b^2=C^2 We know that Ahmed has a map with a distance to the treasure of 2x+6. We know that Vanessa has a map with
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section × length 1 Area of trapezium = 2 (a + b)h a cross section h length b Volume of cone = 1 r 2h 3 Curved surface area of cone = rl Volume of sphere = 4 r 3 3 Surface area of sphere = 4 r 2 r l h r In any triangle ABC b A Sine Rule a B c a sin A The Quadratic Equation The solutions of ax 2 + bx + c = 0 where a 0‚ are given by C b
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Find the width of the room. 4. A rectangular park is 45 m long and 30 m width. A path 2‚5 m wide is constructed outside the park. Find the area of the path and the cost of constructing it at Rs. 125 per m2. 5. The area of a right angled triangle is 400 m2. If one of its legs measures 8 cm. Find the length of the other leg. 6. The diameter of the wheel of a car is 10 cm. How many revolutions will it make to travel 99 km? 7. A race track is in the form of a ring whose inner circumference
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Answers Chapter 1 c i No x-intercept‚ y = 4 iii y Pre-test 1 a 2x + 1 1 3 c x+ x= x 2 2 f 3x − 7 b 5(x − 1) 1 (x + 4) 3 -5ab -21x -4x + 4 3 ii 0 y=4 d 2x − 3 e a a a a 7x 8y 3x + 3 4m b b b b 6a 7 6 b 7 12 9 a 3 b -2 c 1 10 a y = 2x + 1 b y = -x + 5 c 4 7 d 19 72 Exercise 1A f 21 20 2 3 4 5 4 e 7 c c c c -5x 2 15a 2 -10x + 2x 2 a (0‚ 4) d g c 10 ii
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b)h h 2 b Volume of prism = area of cross section × length crosssection h lengt r 4 πr3 Volume of sphere = – 3 Surface area of sphere = 4 π r 2 1 Volume of cone = – π r2h l 3 h Curved surface area of cone = π rl r In any triangle ABC Area of triangle = 1 – 2 C ab sin C a b b a c Sine rule ––––– = ––––– = ––––– sin A sin B sin C A c B Cosine rule a2 = b2 + c2 – 2bc cos A The Quadratic Equation The solutions of ax2 + bx + c = 0‚ where a ≠ 0‚ are given by – b ± √ (b2 – 4ac)
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l3 in fig.‚ are parallel. The value of x is : [Marks:1] A. 50o B. 80o C. 40o D. 140o 6] [Marks:1] A. BC = EF B. AC = EF C. BC = DE D. AC = DE 7] The area of an equilateral triangle with perimeter 18x is: [Marks:1] A. B. C. D. 8] The area of triangle‚ whose sides are 15 cm‚ 25 cm and 14 cm is [Marks:1] A. B. C. D. 9] Simplify: . [Marks:2] 10] [Marks:2] 11] Without actually calculating the cubes‚ find the value
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Syntel Technical Interview Questions: 1.Difference between Virtual and Abstract Method ? 2.What is Runtime Polymorphism ? 3.What is Overiding ? 4.What is the use of a private constructor? 5.What design patterns you used in the project ? 6.What is an interface ? Is there any relation betweem interface and performance ? 7.what is an abstract class ? 8.What is the difference between DataSet and DataReader ? 9.What is CommandBuilder ? 10.What is the Difference between Application and Sesssion
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value is held constant. r as a Constant If we let the value of r be equal to 1‚ we can use that information to find the length of OP’ when OP=2‚ 3‚ and 4. The first thing one can deduce is that by using the points A‚ O‚ P’‚ and P two isosceles triangles can be formed; ∆AOP and ∆AOP’. To rationalize this assertion through an analytic approach it should first be understood that all line segments that connect the center of a circle to its perimeter‚ or circumference‚ is considered to be its radius
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Pikey Government Portageville Site The Common Assessment The Iron Triangle There are two parts to the Iron Triangle. The Bureaucracy which is the agencies that are responsible for the regulation of those affected industries. The Interests Groups influence Congressional votes in their favor. The last party of the Triangle is the Congress they are responsible for funding Government Programs. I will explain how the Triangle works using the article about farmers wanting to trade with Cuba. The
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The life and brutal death of Hypatia of Alexandria has been a topic of debatable discussion since the 4th century C.E. She lived Alexandria‚ Egypt (the center of ancient knowledge) and while it is assumed that she learned the study of mathematics from her father‚ “Theon of Alexandria” it is known that she was the head geometry teacher of the Neo-Platonist school (Belenky‚ 2010). Hypatia is regarded as one of the first women that contributed in many ways to the field of mathematical findings that
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