pythagorean theorem applications2 and outline - Mrs-Cook
... A triangle has sides 4, 7, and 10. Is this triangle a right triangle? ...
... A triangle has sides 4, 7, and 10. Is this triangle a right triangle? ...
Solutions - New Zealand Maths Olympiad Committee online
... 1. You have a set of five weights, together with a balance that allows you to compare the weight of two things. The weights are known to be 10, 20, 30, 40 and 50 grams, but are otherwise identical except for their labels. The 10 and 50 gram weights are clearly labelled, but the labels have been eras ...
... 1. You have a set of five weights, together with a balance that allows you to compare the weight of two things. The weights are known to be 10, 20, 30, 40 and 50 grams, but are otherwise identical except for their labels. The 10 and 50 gram weights are clearly labelled, but the labels have been eras ...
Math 473 Solutions for Assignment 1
... 1.1a Now solve Cauchy’s equation under the weaker assumption that f (x) is continuous. HINT: first solve for fractions, then recall that xn → x ⇒ f (xn ) → f (x). Let m and n be positive integers. Since f (n) = f (1 + n − 1) = f (1) + f (n − 1), we see that f (n) = nf (1). By similar reasoning we fi ...
... 1.1a Now solve Cauchy’s equation under the weaker assumption that f (x) is continuous. HINT: first solve for fractions, then recall that xn → x ⇒ f (xn ) → f (x). Let m and n be positive integers. Since f (n) = f (1 + n − 1) = f (1) + f (n − 1), we see that f (n) = nf (1). By similar reasoning we fi ...
Year 10 Maths Feast 2017 Practice
... Below is a table. Your task is to complete the table, by entering an appropriate equation or inequality that will satisfy the conditions given in the row and column of each entry. Rough working space (will not be marked) ...
... Below is a table. Your task is to complete the table, by entering an appropriate equation or inequality that will satisfy the conditions given in the row and column of each entry. Rough working space (will not be marked) ...
Weber problem
In geometry, the Weber problem, named after Alfred Weber, is one of the most famous problems in location theory. It requires finding a point in the plane that minimizes the sum of the transportation costs from this point to n destination points, where different destination points are associated with different costs per unit distance.The Weber problem generalizes the geometric median, which assumes transportation costs per unit distance are the same for all destination points, and the problem of computing the Fermat point, the geometric median of three points. For this reason it is sometimes called the Fermat–Weber problem, although the same name has also been used for the unweighted geometric median problem. The Weber problem is in turn generalized by the attraction–repulsion problem, which allows some of the costs to be negative, so that greater distance from some points is better.