Everything that surrounds us has a definite shape except for liquids. Starting from our mobile phones, laptops to our cupboards, water bottles, microwave oven, kitchen bowls, water tanks, LPG pipelines, etc. all have a definite shape. Clearly, some of these objects are used to store stuff for us. Such shapes are categorized on certain criteria in Mathematics and studied to either create more shapes like them or to improvise the existing ones by either covering them or decorating them. Furthermore, their storage capacity is also worked upon in mathematics to use them to hold things....
Perimeter of the Trapezoid in Geometry is the sum of all the sides of the trapezoid. It is the length of all its boundaries and is measured in units of length, i.e. perimeter of the trapezoid is measured in cm, m, etc. A trapezoid is a quadrilateral that has a pair of parallel sides (lines). It is a quadrilateral whose perimeter is the sum of all the sides of a quadrilateral....
Exterior Angle Theorem is one of the foundational theorems in geometry, as it describes the relationship between exterior and interior angles in any triangle. An Exterior Angle is formed when any side of a polygon is extended to one side. In simple terms, an Exterior Angle is an angle that exists outside the boundaries of the polygon but shares a vertex with the polygon....
Linear equation is an algebraic equation that is a representation of the straight line. Linear equations are composed of variables and constants. These equations are of first-order, that is, the highest power of any of the involved variables i.e. 1. It can also be considered as a polynomial of degree 1. Linear equations containing only one variable are called homogeneous equations. The corresponding variable is called the homogeneous variable....
Components of a Vector refer to its parts that contribute to its overall influence in a given coordinate system. Vectors, characterized by both magnitude and direction, can be effectively analyzed by breaking them down into components along specific axes. This breakdown typically occurs in two or three dimensions, with the components providing valuable insights into how the vector operates along each axis....
Probability refers to the extent of the occurrence of events. When an event occurs like throwing a ball, picking a card from the deck, etc ., then there must be some probability associated with that event. In terms of mathematics, probability refers to the ratio of wanted outcomes to the total number of possible outcomes. The probability of simultaneous occurrence of two events A and B is equal to the product of the probability of the other, given that the first one has occurred. This is called the Multiplication Theorem of probability....
Order of Operations is a collection of mathematical principles that specify the order in which distinct operations of an expression should be performed. The order is as follows:...
The method to represent and work with numbers is known as the number system. A number system is a system of writing to represent numbers. It is the mathematical notation used to represent numbers of a given set by using digits or other symbols. It has arithmetic operations to perform division, multiplication, addition, and subtraction between numbers. Some important number systems are as follows,...
Factors of 18 are 1, 2, 3, 6, 9 and 18. The factors of a number give back the original number when multiplied in pairs. Generally, the factors of the number are the number that divides the original number completely. The number 18 is composite because it has more factors other than 1 and the number itself....
Factors of 40 are 1, 2, 4, 5, 8, 10, 20, and 40 itself. These numbers can be multiplied together in a defined pair to yield the number 40 or divide the 40 individually without leaving any remainder. When a number is factorized, it is expressed as the product of its factors. In the case of 40, this might be 2 × 20. When a number is expressed using the Division Method, it is expressed into a division pattern; in this case, it could be 40 ÷ 2 = 20....
