sides of a right triangle is equal to the square of the hypotenuse. For example‚ if two sides of a right triangle have lengths 3 and 4‚ then the hypotenuse must have a length of 5. The integers 3‚ 4‚ and 5 together form a Pythagorean triple. There is an infinite number of such triples. Given two positive integers‚ m and n‚ where m > n‚ a Pythagorean triple can be generated by the following formulas: Side1 = m2- n2 Side2 = 2mn Hypotenuse = side12 + side22
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Explanation : Using the Prime factorization‚ we have 556920 = 2 x 2 x 2 x 3 x 3 x 5 x 7 x 13 x 17 = 23 x 32 x 5 x 7 x 13 x 17 Q.2 Use Euclid’s division algorithm to find the HCF of 210 and 55. (1 Mark) (Ans) 5 Explanation: 5 ‚ Given integers are 210 and 55 such that 210 > 55. Applying Euclid’s division leema to 210 and 55‚ we get 210 = 55 x 3 + 45 ……….(1) 55 = 45 x 1 +10 ………(2) 45 = 10 x 4 + 5 ………..(3) 10 = 5 x 2 + 0 ………..(4) we consider the new divisor 10 and the new remainder
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THE REAL NUMBER SYSTEM The real number system evolved over time by expanding the notion of what we mean by the word “number.” At first‚ “number” meant something you could count‚ like how many sheep a farmer owns. These are called the natural numbers‚ or sometimes the counting numbers. Natural Numbers or “Counting Numbers” 1‚ 2‚ 3‚ 4‚ 5‚ . . . * The use of three dots at the end of the list is a common mathematical notation to indicate that the list keeps going forever. At some point‚ the
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error per statement): a) scanf( "d"‚ value ); b) printf( "The product of %d and %d is %d"\n‚ x‚ y ); c) firstNumber + secondNumber = sumOfNumbers d) if ( number => largest ) largest == number; e) */ Program to determine the largest of three integers /* f) Scanf( "%d"‚ anInteger ); g) printf( "Remainder of %d divided by %d is\n"‚ x‚ y‚ x % y ); h) if ( x = y ); printf( %d is equal to %d\n"‚ x‚ y ); i) print( "The sum is %d\n‚" x + y ); j) Printf( "The value you entered is: %d\n‚ &value
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History of C++ The C++ programming language has a history going back to 1979‚ when Bjarne Stroustrup was doing work for his Ph.D. thesis. One of the languages Stroustrup had the opportunity to work with was a language called Simula‚ which as the name implies is a language primarily designed for simulations. The Simula 67 language - which was the variant that Stroustrup worked with - is regarded as the first language to support the object-oriented programming paradigm. Stroustrup found that this
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HARRIS MEMORIAL COLLEGE G.K Bunyi St.‚ Dolores‚ Taytay‚ Rizal COURSE SYLLABUS Subject Title : Grade VII MathSubject Time : M‚ T‚ Th‚ F 10:30 am -11:30amGrading Period: FirstSchool Year : 2013-2014 | Subject TeacherEducational Attainment School Attended Contact Number Email Address | : Oliver Gabaon Galimba: Bachelor of Secondary Education Major in Mathematics: University of Northern Philippines‚ Vigan City09261353338/09333042041: galimbaoliver@yahoo.com | I. Subject Description:
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exponents by converting many of the large numbers and small numbers into a shorter form. For example: 10‚000‚000‚000‚000 can be written as (10)13. Here‚ 10 is called the base and 13 is called the exponent. For any non-zero integer a‚ a m 1 ‚ where m is a positive integer. am a–m is called the multiplicative inverse of am and vice-versa. Decimal numbers can be written in expanded form using exponents. For example: The number‚ 32845.912 can be written in an expanded form as follows.
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in 3-space whose three coordinates are all nonnegative integers‚ not greater than n. Determine the number of straight lines that pass through n of these points. 6 Four figures are to be inserted into a six-page essay‚ in a given order. One page may contain at most two figures. How many different ways are there to assign page numbers to the figures under these restrictions? 7. How many (unordered) pairs can be formed from positive integers such that‚ in each pair‚ the two numbers are coprime and
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ENGINEERING Computer Engineering Department Assignment #1 NES 113 – EN2C Submitted To: Mr. Alexis John M. Rubio CpE Professor Submitted By: Rosit‚ Laila D. 20101164583 August 15‚ 2013 3.1. Make a C program that will accept any integers from 1-12 and displays equivalent month‚ Example if 3‚ “March”. #include<stdio.h> #include<conio.h> int month; int main() { printf("Enter a Month:"); scanf("%d"‚&month); switch(month) { case 1: printf("January"); break;
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erms The Complete Mathematical Terms Dictionary Understanding math concepts is critical in our world today. Math is used daily by nearly everyone‚ from lay persons to highly degreed professionals. Situations in which math is used vary from simply balancing a checkbook or calculating the amount of change due from a store transaction all the way to making blueprints for an office building or house and the construction of those buildings. Understanding how to solve math problems becomes easier as
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