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Who are the mathematicians who contributed to trigonometry?

The origins of trigonometry occurred in Ancient Egypt and Babylon, where scholars performed calculations with angles, measuring them in degrees. However, it was the Ancient Greeks who advanced the study, largely due to its relation to their interest in astronomy.\nHipparchus is often credited as the inventor of trigonometry because of his computation of the first table of chords. In order to calculate the rising and setting of zodiacal signs, he popularized the division of circles into 360 degrees and the calculation of chords by considering all triangles to be within a circle, with the three ..

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Why are polynomials important?

The branch of mathematics that deals with polynomials covers an enormous array of different equations and equation types. Polynomials that deal primarily with real numbers can be used in computer programming and developing ciphers for encoding messages.\nWhen imaginary numbers and solutions are used with polynomial equations, they can be used to model more complex system behaviors and reactions. For example, the stability or instability of many systems can be determined through imaginary polynomial equations by engineers. They are also used in the pharmaceutical industry when determining scale..

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How many degrees are in an octagon?

An octagon is any closed two dimensional shape with eight sides. To determine the sum of the interior angles, as many triangles as needed to completely fill the inside of the shape should be created. The triangles should be oriented so that all triangle angles coincide with at least part of an octagon angle. As there are 180 degrees in a triangle, multiplying the number of triangles needed to fill the octagon in this manner, in this case six, by 180 degrees yields the total interior degrees of an octagon: 1,080.

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What is the midpoint formula in geometry?

To apply the midpoint formula, one needs to know the values of two discrete points, each written in the form of (x, y). For example, take the points (0, 3) and (4, 11). The two x values are 0 and 4, so their average is 0 plus 4 or 2. The two y values are 3 and 11. Adding 3 to 11 and dividing that result by 2 gives 7. Write the midpoint value in coordinate notation by placing the average of the x and the average of the y values into a set of parentheses and separating the two values with a comma. The correct answer to this example is (2, 7).

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What is a line segment that connects two non-consecutive vertices in a geometric figure?

A quadrilateral is a polygon that has four sides. The sum of the interior angles in a quadrilateral is 360 degrees. There are many types of quadrilaterals, including the square, rectangle, rhombus, trapezoid and parallelogram. A rectangle is a quadrilateral with four right angles, while a square also has four right angles but also has four equal sides. A parallelogram has opposite sides that are parallel, while a trapezoid has one pair of parallel sides. A rhombus has four equal sides.

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What is the difference between grouped and ungrouped frequency distributions?

Grouping frequency distribution is useful for large data sets and when a researcher wants to make a frequency distribution table or graph However, grouped data cannot be used for computing statistics. It is primarily used for making graphs or tables.\nTo form a grouped frequency distribution table, classes should be continuous and should not overlap each other. Classes should be of equal width, and all data values should be included. In the case of an ungrouped frequency distribution table, all the possible unique data elements should be listed, the frequency for the corresponding data element..

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What is "e" in mathematics?

An irrational number cannot be expressed as a simple fraction, and it has decimal places that go on forever without repeating. The number e is an irrational number with a starting value of 2.171818459045. The Euler number was first introduced by John Napier in the 1600s, who used it in his theory of the development of logarithms. Leonhard Euler, however, was the first to use the symbol "e." The Euler number is the natural base for exponential functions and logarithms. It is used in continuous compounding for loans and investments, and it is known to one trillion digits of accuracy.

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What are alphanumeric numbers?

The term alphanumeric does not include punctuation and mathematical symbols. It is commonly used as the required format in creating passwords and file names. The string of characters “aBc123” is alphanumeric, but “#s?34T” is not.\nAlphanumeric characters in the POSIX/C locale consist of either 36 case-insensitive symbols (A-Z and 0-9) or 62 case-sensitive characters (A-Z, a-z and 0-9).

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What is the importance of calculus?

Calculus is a branch of mathematics that studies phenomena involving change along dimensions, such as time, force, mass, length and temperature. Studying calculus is important because it provides a basis for understanding mathematical concepts and also helps a person develop practical scientific and engineering sense and problem solving skills, according to Understanding Calculus. As with any other scientific method, calculus allows people to define the objective world in terms of existing quantifiable conditions. In a sense, calculus is a form of communication about the world just as much as ..

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What is discrete math?

Discrete mathematics is also the language applied in computer science. Discrete objects include integers (whole numbers), rational numbers (numbers that can be expressed as the quotient of two integers), books, houses, chairs and tables. Discrete items are often enumerated by integers. Continuous mathematics, on the other hand, is a branch of mathematics dealing with items that vary smoothly. Calculus and real numbers such as irrational and some rational numbers are called continuous numbers.

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