Math

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What is a composite shape ?

Mathematical problems involving composite shapes often involve finding either the area or perimeter of the composite shape, or both. Solving this type of problem involves finding the unknowns of the individual shapes in the composite figure and combining them.\nEducational tools exist to help children visualize and solve problems involving composite shapes. One such example of a tool designed to teach these concepts is a tangram. A tangram is a set of seven geometric shapes that combine together to form different shapes. Each individual shape is known as a tans. Activities that involve working..

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What are the best ways to learn times tables?

One of the most effective ways to learn times tables is to use skip counting. This technique counts numbers with an even spacing. For example five, 10, 15, 20 and 25 would be skip counting using the base number of five. Skip counting can be initially carried out by counting with fingers. This helps to calculate basic times tables in a fast manner.\nSkip counting is great for multiples of two, five and 10, but for more complex equations the "doubles" and "counting up" strategies work best. For example, it is not too hard to remember six times six equals 36, so six times seven involves adding an..

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What is cot x equal to?

The cotangent of x can also be expressed as one over the tangent of x, or as the cosine of x divided by the sine of x. Using cofunction identities, the cotangent of x can also be expressed as the tangent of pi over two minus x when x is in radians. When x is in degrees, the cotangent can be expressed as the tangent of 90 degrees minus x. Based on periodicity identities, the contangent of x can be written as the sine of x plus 180 degrees.

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What is 2.25 as a fraction?

The top of a fraction is called the numerator while the bottom is known as the denominator. The whole number standing before a fraction is referred to as an integer.\nAn improper fraction is formed by first multiplying the denominator by the integer, in this case, arriving at eight. The next step is to add the numerator to this sum, totalling nine. This number is then used as the numerator of the improper fraction.

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What is the lowest common multiple of 4 and 6?

One way to find the lowest common multiple, or LCM, is to first reduce each number to its prime factors. A prime number is a number that has only 1 and itself as factors. For the number 4, 2 squared, or 2 x 2, is the prime factor. For the number 6, 2 and 3 are prime factors. Take the largest power of each of the prime numbers that appears in either of the original numbers. Because 3 appears only as a multiple of 6, that must be included. Both 2 and 2 squared are multiples, but use 2 squared because it is larger. Multiply the squares together: 3 x 2 x 2 equals 12.

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Which variable goes on the x-axis?

The independent variable is one that is not affected by the other, while the dependent variable will vary depending on the independent variable. Typically, the independent variable is specified, while the result that is measured is the dependent variable.The independent and dependent variables can be related to the cause and effect during an experiment. The size, position or speed of the independent variable is the cause that will influence an effect, which is the dependent variable you are measuring. Any property of either variable can be tracked and plotted against each other, even if they a..

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Why is symmetry important?

For symmetrical balance, a vertical axis is needed. The symmetry axis for human beings is vertical, which is why balanced weight is needed on both feet. Humans have to find a symmetrical balance in order to learn how to walk or ride a bike.Symmetry is applicable in classical laws of motion and quantum mechanics. The law of nature is based on symmetry, but with many symmetry-breaking mechanisms in place. One new feature is supersymmetry, an extension of the geometric symmetry of space and time that also includes fermionic or anticommuting charges.

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Does math look the same in Spanish?

Beyond the superficial differences in numerals, some elements of mathematical notation differ in ways that can create problems in translation. An example is the Latin convention of using periods to delineate strings of digits, where an English speaker would use commas. In Latin countries, the comma is used in place of a decimal point. Cultural differences aside, the functions and operations of math are universal. Minor differences in notation are generally easy to overcome.

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What is nilpotent matrix?

Nilpotent matrices are used by mathematicians to explain what happens when a matrix or another type of equation equals zero when it is raised to a power. The word Nilpotent comes from the Latin root "potens," which means "possessing power," and "nil," which means "nothing."\nNilpotent matrices can be matrices that include zeros directly in the matrix, or they can be matrices that have no actual zeros in them. In fact, most nilpotent matrices have no zeros in the matrix itself. A matrix is nilpotent only if it squares to zero.\nConsider a matrix with three columns and three rows as an example. ..

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How do you find the surface area of a cone?

Find the surface area of the top of the coneTo find the surface area of the top of the cone, multiply the radius of the base of the cone by the slant height. Next, multiply this number by pi. For example, if the base of the cone has a radius of 4 inches and a slant height of 9 inches, then multiply 4 times 9 times 3.14159 to get the surface area of the top of the cone, which is 113.1 square inches. Find the surface area of the base of the coneMultiply the radius of the base by pi squared. In the previous example, multiply 4 times pi squared to get the surface area of the base of the cone, whic..

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