Part A Q2-Maths Assignment 2012, Mrs Pillai Lvl 1
Irrational numbers are numbers that are neither whole numbers nor ratios of whole numbers. Irrational numbers are real numbers in the sense that they appear in measurements of geometric objects--for example, the number pi (II). However, irrational numbers cannot be represented as decimals, unlike rational numbers, which can be expressed either as finite decimals or as infinite decimals that eventually follow a repeating pattern. By contrast, irrational numbers have infinitely long decimal expansions that never form a repeating pattern. Thus, the number pi can never be written down exactly in decimal form, it can only be approximated, by decimals such as 3.14159. The golden ratio is another famous irrational number approximately equal to 1.618. It appears many times in geometry, art, architecture and other areas Hippasus

Hippasus is credited with the discovery of irrational numbers. The Pythagoreans were a strict society and all discoveries that happened had to be directly credited to them, not the individual responsible for the discovery. The Pythagoreans were very secretive and did not want their discoveries to get out. They all took oaths to ensure that their discoveries remained with the Pythagorean society. They considered whole numbers to be their rulers and that all quantities could be explained by whole numbers and their ratios. Along came Hippasus who discovered irrational numbers which consequently meant he was drowned. Hippasus was the disciple of Pythagoras; he was of course famous for his discovery of irrational numbers and more specifically his discovery of √2. There are many methods out there that prove the irrationality of √2. However this is the one that Hippasus used:

The proof of the irrationality of √2 is as follows:

1.Take a right triangle whose short sides are 1 unit in length 2.By the Pythagorean theorem, the diagonal is √2
3.Suppose that √2 is the ratio of two natural numbers,...

...declared but is not set to a definite known value before it is used.
Algorithm workbench
3. Write assignment statements that perform the following operations with the variables a, b, and c.
a. Adds 2 to a and stores the result in b
b. Multiplies b times 4 and stores the result in a
c. Divides a by 3.14 and stores the result in b
d. Subtracts 8 from b and stores the result in a
Assignment statements that perform operations with the variables a, b, and c*...

...[pic]
ASSIGNMENT SUBMISSION AND ASSESSMENT
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OUMM3203
PROFESSIONAL ETHICS
(PLEASE EDIT WHERE NECESSARY-THIS IS ONLY SUGGESTIONS FOR THE ASSIGNMENT’S GENERAL INSTRUCTIONS)
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INSTRUCTIONS TO STUDENTS
1. This assignment contains only ONE (1) question that is set in the language of the printed module for the...

...PT1420 - Unit 5 Homework and Lab Assignment
Unit 5 Assignment 1: Homework
1.) Design an if-then statement that assigns 20 to the variable y and assigns 40 to the variable z if the variable x is greater than 100. (Simple if statement)
If x > 100 then
Y=20
Z=40
End if
2.) Design an if-then statement that assigns 0 to the variable b and assigns 1 to the variable c if variable a is less than 10. (Simple if statement)
3.) Design an if-then-else...

...Alma Guadalupe Luna
Math IA (SL TYPE1)
Circles
Circles
Introduction
The objective of this task is to explore the relationship between the positions of points within circles that intersect.
The first figure illustrates circle C1 with radius r, centre O, and any point P. r is the distance between the centre O and any point (such as A) of circle C1.
Figure 1...

...
Chartered Management Institute Approved Centre
Level 5 Extended Diploma in Management and Leadership
Written Assessment – 5
Unit 5001V1
Instruction Sheet
Assignment: Unit 5001V1 – Personal development as a manager and leader
Level: 5
Lecturer: Ian Laing
Date of Issue: 13th May 2015
Date Due In: 26th June 2015
Format: Word Document submitted to:
ianlaing@ihlassociates.karoo.co.uk...

...Homework Assignment 1
1. For each of the following equations determine whether it is linear in its variables
or not. Explain your decision.
a) b) c)
2. Solve each of the following systems and comment on geometric interpretation of its solutions.
a) b) c)
3. Solve the following linear systems by Gauss-Jordan method:
4. Each of the following matrices is an augmented matrix of some linear system.
In each case,...

...
Week 2 Assignment
Yasir Shakoor
Intermediate Algebra MAT222
Professor Perez
09/01/2014
For our Week 2 assignment, in Intermediate Algebra, we were asked to solve the problem number 68 on page 539 of Elementary and Intermediate Algebra. aside from completing the problem, we were also asked to write a two to three page paper while including the five given vocabulary words for the week. Please see the problem below:
Shipping...

...Solving Proportions
Tara Lint
MAT 222 Week 1 Assignment
Instructor: James Segala
August 18, 2013
Solving Proportions
Proportions exist in the real world. For example, in finding out the price of a unit, or the population of a specific species. The first problem that we are working with states that “. Bear population. To estimate the size of the bear population on the Keweenaw Peninsula, conservationists captured, tagged, and released 50 bears. One year later, a random...

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