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What is the definition of "plane trigonometry"?

Celestial navigator Eric DeMan explains that plane trigonometry examines the vertices of a triangle and the surfaces of the planes that cover its three unique sides. Since triangles are composed of straight lines, understanding the relationship between the angles that make up a triangle is essential to understanding plane trigonometry.\nThe Encyclopaedia Britannica further defines plane trigonometry as an attempt to deduce the remaining sides of a triangle from the sides that are known. While this may seem like the definition of trigonometry, plane trigonometry takes the concept to a higher le..

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What is the way to find a missing number in a math problem?

For example, if the equation reads as 2 + ? = 15 to solve, the student would need to subtract 2 from both sides. Therefore, it would read 2 - 2 + ? = 15 - 2. When both sides are solved, it reads ? = 13. Therefore, the unknown number is 13.In another instance, if an equation reads as ? - 3 = 9 both sides would have to have the number three added. It would then read ? - 3 + 3 = 9 + 3. When nine and three are added, the answer is 12, and that would then read ? = 12.Unknown numbers can also be solved with more operations. For example, 2 + 3 - 1 = ? + 4 can be solved by subtracting four from both s..

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What are entries as they apply to a matrix?

A matrix is written in brackets, which contain rows and columns of data, and has dimension, which is the number of rows and columns contained within the matrix. By mathematical convention, the dimension of a matrix is written as rows by columns.\nMatrices with the same dimension are added and subtracted by performing the indicated operation on each matrix entry with the corresponding notation. Matrices that are not the same dimension cannot be added or subtracted.\nThere are two types of matrix multiplication, scalar and matrix. Scalar refers to the multiplication of each entry of a matrix by ..

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What are the prime factors of 75?

The first step in identifying prime factors of a number is to determine all the factors of that number. To do so, divide the number by all the numbers leading up to it. Record all numbers where there is no remainder after the division. For 75, the factors are 1, 3, 5, 15, 25 and 75. Of those numbers, the only prime numbers are 3 and 5.

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What does "modal" mean in mathematics?

The mode is one of the most common ways to describe a set of data. Often, when large sets of data are being analyzed, it is useful to calculate the mean, mode and median to quickly gain insight into how the numbers are distributed. The mean is the average of the data set, while the median is the middle number when ordered from smallest to largest.

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What are the multiples of 17?

Because 17 is a large prime number, it can be difficult to recognize patterns among the multiples. When multiplying 17, students should remember that any value they find should be between the similar multiple of 15 and 20. For example, 4 times 15 equals 60 and 4 times 20 equals 80; 4 times 17 equals 68, which is between 60 and 80.\nThe ones digit of any multiple of 17 follows the 7 times table.\nMultiples of 7 are 7, 14, 21, 28, 35, 42, 49, 56, 63, 70.\nMultiples of 17 are 17, 34, 51, 68, 85, 102, 119, 136, 153, 170.\nSeventeen times any number is equal to the sum of that number multiplied by ..

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Why does pi not have units?

All "pure" numbers are defined as dimensionless quantities. These are the numbers that we use to count, including the irrational numbers like pi and e. Although some dimensionless quantities can have units (like radians), the units are only used when pure numbers are used to measure a quantity. Thus, it is possible to count to 100, but if discussing the length of a football field, it does not make any sense until a unit is added, for example, 100 yards.

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What are critical points in calculus?

Critical points are important in calculus because they are used to find the minimum and maximum values of a graph. In the equation f(x0) = 0, "f" represents a function, and "x" represents the number or point that should be found. Setting the derivative of the function to be equal to zero, and solving for "x" ensures that one gets the critical number. Critical numbers can show up in values where the derivatives are not present. If a critical number can be taken back to its original function, the values of "x" and "y" that will be obtained will be the critical points. In some cases, critical poi..

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What is a list of some polygons?

The catalog of shapes also includes the 11-sided polygon called the hendecagon, or undecagon, and the 12-sided polygon named dodecagon. MathsIsFun provides a list of polygons with up to 10 raised to the 100th power sides, which is called a googolgon. MathsIsFun also has a table of prefixes and suffixes to use in naming polygons. Figures with between 20 and 29 sides have names starting with the prefix “icosi-.“ A 22-sided polygon is called an icosidigon, where the suffix “-digon” is attached to denote that the digit in the ones place is two.\nNot all polygons have accepted names or even..

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What are the four fundamental operations of mathematics?

Addition combines two or more numbers to get their sum or total, while subtraction finds the difference between two quantities. Multiplication is repeated addition; one of the numbers in a multiplication equation indicates how many times the other number needs to be added to itself. Division is the inverse of multiplication.

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