Level 11-12 - Thales Foundation Cyprus
... 6. The figure below shows the axial cross-section of a glass with liquid, shaped like a cylinder with base’s diameter a and height 2a. The angle between the surface and the glass is 45o. What part of the glass’s volume does the fluid take? ...
... 6. The figure below shows the axial cross-section of a glass with liquid, shaped like a cylinder with base’s diameter a and height 2a. The angle between the surface and the glass is 45o. What part of the glass’s volume does the fluid take? ...
A square is divided into two rectangles whose areas are in the ration
... Find the last two digits of the number 92009 ? There is a 10-part cycle when 9 is raised to the 1st, 2nd, 3rd, …, 10th power. These numbers end in 09, 81, 29, 61, 49, 41, 69, 21, 89, 01. Raising 9 to the 2009th power will end in the same digits as raising to the 9th power. ...
... Find the last two digits of the number 92009 ? There is a 10-part cycle when 9 is raised to the 1st, 2nd, 3rd, …, 10th power. These numbers end in 09, 81, 29, 61, 49, 41, 69, 21, 89, 01. Raising 9 to the 2009th power will end in the same digits as raising to the 9th power. ...
7.1 Apply the Pythagorean Theorem
... • The theorem says that of I square the legs of a right triangle and add them they will be equal to the hypotenuse squared ...
... • The theorem says that of I square the legs of a right triangle and add them they will be equal to the hypotenuse squared ...
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.