Arrays: Lists and Tables Although the value of a variable may change during execution of a program‚ in all our programs so far‚ a single value has been associated with each variable name at any given time. In this chapter‚ we will discuss the concept of an array—a collection of variables of the same type and referenced by the same name. We will discuss one-dimensional arrays (lists) at length and focus briefly on twodimensional arrays (tables). You will learn how to set up and use arrays to accomplish
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Period 7 Jack Whyte Reflection This year‚ both as a student and as a person‚ I learned a tremendous amount. For instance‚ I learned that in England‚ its spelled “grey”‚ but in America its spelled “gray”. That pretty much was the coolest and most useful thing I have heard in a long time‚ let alone in the past 10 months. But I am not in a position today to discuss this‚ and thus I will be detailing everything else I have learned that has fallen short. Scholastically‚ I’ve grown to appreciate
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Euclidean Geometry Geometry was thoroughly organized in about 300 BC‚ when the Greek mathematician Euclid gathered what was known at the time‚ added original work of his own‚ and arranged 465 propositions into 13 books‚ called ’Elements’. The books covered not only plane and solid geometry but also much of what is now known as algebra‚ trigonometry‚ and advanced arithmetic. Through the ages‚ the propositions have been rearranged‚ and many of the proofs are different‚ but the basic idea presented
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Geometry has many uses. It is used whenever we ask questions about the size‚ shape‚ volume‚ or position of an object Geometry is the foundation of physical mathematics present around us. A room‚ a car‚ anything with physical constraints is geometrically formed. Geometry allows us to accurately calculate physical spaces and we can apply this to the convenience of mankind. . The geometry is heavily used in drawings‚ carpeting‚ sewing‚ architecture‚ art‚ mathematics‚ measurements‚ sculptures etc.
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Euclid “Father of Geometry” Euclid is a Greek mathematician. He was also known as Euclid of Alexandria‚ “The Father of Geometry”. Little is known of his life other than the fact that he taught at Alexandria‚ being associated with the school that grew up there in the late 4th century B.C. It is believed that he taught at Plato’s academy in Athens‚ Greece. Most history states that he was a kind‚ patient‚ and fair man. One story that exposes something of his personality‚ involves
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2. Quadrilateral 3. Pentagon 4. Hexagon 5. Heptagon 6. Octagon 7. Nonagon 8. Decagon 9. Dodecagon 10. Tetradecagon F. Circles Introduction "Geometry‚" meaning "measuring the earth‚" is the branch of math that has to do with spatial relationships. In other words‚ geometry is a type of math used to measure things that are impossible to measure with devices. For example‚ no one has been able take a tape measure around the earth‚ yet we are pretty confident
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Geometry Conjectures Chapter 2 C1- Linear Pair Conjecture - If two angles form a linear pair‚ then the measures of the angles add up to 180°. C2- Vertical Angles Conjecture - If two angles are vertical angles‚ then they are congruent (have equal measures). C3a- Corresponding Angles Conjecture- If two parallel lines are cut by a transversal‚ then corresponding angles are congruent. C3b- Alternate Interior Angles Conjecture- If two parallel lines are cut by a transversal‚ then alternate interior
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Area of a parallelogram-__________ Area of a trapezoid-__________ Area of a circle-__________ Area of a triangle-__________ 1.) (Parallelogram) Find height when base is 7ft and area is 56ft squared. 2.)(Parallelogram) Find base when h=12 and A=216in squared. 3.)(Triangle) Find base when h=9ft and A=35ft squared. 4.)(Trapezoid) Find height when A=25m squared‚ b1=3m‚ and b2=7m. 5.)(Circle) Find radius when A=314ft squared. (Round to the nearest whole number). 6.) Base=12ft Height=12ft
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Many results in geometry can be shown or demonstrated by construction and measurement. For example‚ we can draw a triangle and measure the angles to show or demonstrate that the angle sum of a triangle is 180 ° . However this does not prove that the angle sum of any triangle is 180 ° . To prove this and other geometrical results we use a process called deduction ‚ in which a specific result is proved by reasoning logically from a general principle or known fact. When setting out proofs
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CET11 Mathematics Question Bank – Straight Lines‚ Pair of Lines & Circles A straight line through the point A 3‚ 4 is such that its intercept between the axes is bisected at A . It’s equation is 1. (a) 4 x 3 y 24 Ans: a (b) 3x 4 y 25 (c) x y 7 (d) 3x 4 y 7 0 Sol: By formula required equation is given by x y 2 4 x 3 y 24 3 4 2. The equation of the line which is the perpendicular bisector of the line joining the points 3‚ 5 and 9‚3 is (a)
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