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What is the common end point of the sides of an angle?

Vertices are a common element of polygons, solid three-dimensional shapes and angles formed by rays or line segments. They are sometimes divided up into ears and mouths, when describing the vertices of irregularly shaped polygons. Ears are vertices which protrude past a certain boundary line, while mouths are vertices that lie inward of the boundary. Ear and mouth vertices make up anthropomorphic polygons.

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What is a math FOIL?

As an example, one can use FOIL to expand the expression (3x + 2)(4x + 6). Multiplying the first terms from each set of parentheses gives 12x^2. Multiplying the outside terms gives 18x. The product of the inside terms is 8x, and the product of the last two terms is 12. The final expanded equation using FOIL is (3x + 2)(4x + 6) = 12x^2 + 26x + 18.

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What is a 100-sided shape called?

A polygon is a closed two-dimensional geometric figure containing several line segments, where each side intersects only two other segments at what is called a vertex. Some commonly used prefixes that denote the number of sides of a polygon include "tetra," "penta," "hexa," "hepta" and "octa," used for the numbers 4, 5, 6, 7 and 8, respectively. Generally accepted polygonal names are pentagon, hexagon, heptagon, octagon, nonagon and decagon. An "n-gon" is a type of polygon with n number of sides, where n is a variable.

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How do you convert polar coordinates to rectangular coordinates?

While the x and y values of rectangular coordinates are based on the distance of the point from each axis, the first value of polar coordinates is based on the radius of a circle between said point and the point (0, 0). The second value is based on the degrees of the angle measured counter-clockwise from x-axis in the first quadrant.\nRectangular coordinates are also known as Cartesian coordinates.

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How do you write out numbers correctly?

Except for a few basic rules, spelling out numbers or using figures largely depends on the writer's preference. However, consistency is the key. Basic rules govern writing of small numbers, percentages, ordinal and compound numbers.\nHyphenate all written-out fractions and compound numbers from twenty-one through to ninety-nine. Do not hyphenate number terms such as a third, a quarter or a half. To make figures of four or more digits easy to read, use the comma separator. Count three spaces to the left of the digit and place the first comma. Continue placing commas after every three digit..

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What is the importance of statistics in economics?

Economics is defined as the study of how people behave with regard to the production and consumption of goods. As a social science, economics attempts to describe trends in consumer markets, such as wealth acquisition and transfer. There are two forms of economics:\nMacroeconomics: analysis of large-scale economic activity, such as within a country or international market\nMicroeconomics: analysis of small-scale economic activity, such as between individuals and corporations\nThere are various themes studied within both forms of economics, including costs, production, consumption, and the rati..

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What is a scattergram used for?

On a scattergram, points fall along a line or curve where variables are correlated. Scattergrams also identify root causes of problems, determine objectively if a cause and effect are related, and figure out if two effects that appear to be related are caused by a similar course. Scattergrams can be constructed in MS Excel or statistical software such as XLSTAT.

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What does a table of equivalent fractions depict?

Students at an early age learn that whole numbers represent different amounts, that three is greater than two, that adding and subtracting two numbers produce different amounts and that four does not equal five, so the concept of equivalent fractions can be confusing and difficult to understand since it seems to contradict what they have learned. The concept of fractions is often difficult to understand until they can apply it to something familiar.\nOne way of introducing equivalent fractions illustrates the idea with something familiar, such as a pie or a pizza. If someone bakes a pizza and ..

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How do you find the volume of a right circular cone?

Cavalieri's Principle is named after Italian mathematician Bonaventura Cavalieri, who made specific contributions to the development of integral calculus. Another name for the principle is the Method of Indivisibles, and it applies to both 2-dimensional and 3-dimensional objects. In general, the principle is a method to find the volume of any solid, regardless of its shape, when its cross-sections by parallel planes have equivalent areas.For example, a cone with a radius of 5 and a height of 6 has a volume of approximately 157.08. To solve this problem, insert the numbers for the values i..

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Where can you buy a calculator that does math fractions?

The See "N' Solve calculator has keys marked numerator and denominator and also includes an activity guide.The Casio FX-65, which is a solarpowered calculator that can also use batteries as a back-up, also has other features like conversion of fractions to decimalsand percentages, as well as logarithmic and trigonometric functions. SchoolMart is another online store that carriesthe Casio FX-65 Fraction Mate overhead,Casio FX-55 Fraction Mate Overhead, See 'N' Solve andtheTexas Instruments TI-15 fraction calculators.The Casio FX-55 Fraction Mate Overhead displays the numerator ov..

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