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What is a ten-sided polygon?

Polygons have anywhere from three sides to 12. A triangle, quadrilateral, pentagon, hexagon and octagon are all considered polygons. Polygons are divided into three types: equiangular, equilateral and regular. Equiangular polygons have equal angles. All the sides form the same angles, but do not have the same lengths. Equilateral polygons have equal sides. The angles vary, but the lengths of the sides are the same. Regular polygons have equals sides and equal angles; they are equilateral and equiangular.\nA decagon is considered a regular polygon. Its interior angle is 144 degrees, and its ext..

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What are some common math vocabulary words?

A line is a straight collection of points that continues indefinitely in both directions. If multiple lines are present, the lines are either intersecting, parallel or skew. Intersecting lines share one common point and continue away from one another. Parallel lines are lines that are in the same plane, they never intersect and always remain the exact same distance apart. Skew lines are lines that are not in the same plane but never intersect.\nThe 10 numeral symbols in standard math are called digits. The number 4091 contains four digits: 4, 0, 9 and 1.\nAn equation is any math statement that..

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Who are some mathematicians who studied geometry and what are their contributions?

According to GeomHistory.com, ancient Greece was home to some of the most important founders of geometry. Archimedes is considered the greatest of the Greek mathematicians. He proved fundamental theorems regarding the center of gravity of plane figures, made connections regarding the angles and radius lengths of spirals and discovered 13 semi-regular polyhedra.\nPythagoras discovered that the angles of a triangle add up to 180 degrees and developed the Pythagorean theorem for finding the lengths of the sides of a right triangle.\nHippocrates developed geometric solutions to quadratic equations..

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How do you find answers for long division problems?

For the division problem 23,651 divided by 24, the dividend is 23,651 and the divisor is 24. Since you cannot divide the first number, which is 2, and the first two numbers, which are 23, with the divisor and get a whole number quotient result, you have to start with the first three numbers, 236. Divide 236 by 24 to get a whole number quotient of 9. Place the 9 at the top of the division bracket, and multiply it with the divisor to get 216. Subtract 216 from 236 to get a remainder of 20. Bring down the next number to get a new target of 205.\nDivide 205 by 24 to get a whole number quotient of ..

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What is modular inverse?

Using modular arithmetic, the modular inverse of an integer a can be represented as the fraction 1 / a just as it is done in real number arithmetic. The Euclidean algorithm is used to find the solution to an equation, ax + my = 1, if a and m are relatively prime by considering the equation modulo m.

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How do you average percentages?

Write down the percentagesIn order to stay organized, it is helpful to have the list of the percentages written down on a piece of paper in front of you. This allows for the process of finding the average easier as you make calculations.Change each percentage to a decimalTo simplify calculations, change each percentage to a decimal. This is done by individually dividing the percentages by 100. You may find using your calculator easier and more accurate than performing the math in your head, but either method works. Write down the decimal number after each percentage on your paper.Add the total..

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What is Slovin's formula?

Slovin's formula is used in statistical analysis as a tool to determine the sample size of a population that must be taken for a specific study. This formula is only used when the sample size is unknown; for example, since things like IQ scores tend to follow a predictable distribution pattern, it is easy to find an appropriate sample size for studying this topic. Using the formula, statisticians can come up with a reliable sample size to study a given population without having to study the entire population individually.

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What is the square root of 324?

The square root of a number is determined by obtaining the factors of the number. The factors of 324 are 2 x 2 x 3 x 3 x 3 x 3; these factors can be simplified to show 2 x 3 x 3 squared, which is 18 x 18 = 324.\nSimilarly, the square root of 400 is either 20 or (-20). Numbers that are perfect squares have exact square roots. If a number is not a perfect square, its square root is a decimal fraction.

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What are GCF and LCM word problems?

An example of a GCF word problem is, "Joanne is campaigning for class president and wants to distribute 20 flyers and 36 buttons. She wants each classroom to receive an identical set of campaign materials without having any left over. What is the greatest number of classrooms Joanne can deliver materials to?"\nTo find the GCF of two numbers such as 20 and 36, the factors of both numbers need to be compared to each other. The factors of 20, the numbers that 20 can be divided by without leaving a remainder, are 1, 2, 4, 5, 10 and 20. The factors of 36 are 1, 2, 3, 4, 6, 9, 12, 18 and 36. The fac..

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How do you write "perpendicular lines intersect to form right angles" in if-then form?

The original phrase is a geometric theorem that proves that if perpendicular lines intersect, right angles are formed. Alternately, lines that intersect to form right angles are perpendicular. Because of this, the if-then statement can be formed in either way and still be correct. Regardless of the other characteristics of the lines, if one of the conditions occurs, the other occurs as well.

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