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How are the Pythagorean theorem and the distance formula used in everyday life?

Television manufacturers often measure their products diagonally, from one of the bottom corners to the opposite top corner. An individual who wants to purchase a television set that fits in a certain space must use the Pythagorean Theorem to determine whether the length and width of the set correspond to the space in her home.\nVideo game programmers use the Pythagorean Theorem to determine the distance between two objects, since the rules for movement in games are frequently based on a two-dimensional grid. Determining the distance between two objects on such a grid requires the calculation ..

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How many faces does a hexahedron have?

Other examples of hexahedrons include cuboids, which consist of three pairs of rectangles, rhombohedrons, which consist of three pairs of rhombuses, and parallelepipeds, which consist of three pairs of parallelograms. The term hexahedron is derived from the Greek word with the same definition, hexáedron. The term hexa is derived from the Greek word hex, meaning six. The term hedron is derived from the Greek words hedra and edron, meaning base and sided, respectively.

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How do you read crane load charts?

Determine lift capacity by looking at the legend along the top of the crane load chart. This shows the ratings that apply when using a certain amount of counterweight with the outriggers extended a certain distance. (This will vary according to the crane.) From here you graph out the specific lift the crane is needed for.\nA crane also has a lift range chart. This diagram illustrates how much boom length is needed to pick up and lift a load a certain distance and certain height. The lift angle chart shows the maximum lift if you use a luffing or fixed jib. The luffing jib allows the angle to b..

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What is the meaning of the number 21?

The Bible Study Site says the numbers 13 and 21 are closely related. This is because 13 symbolizes sinfulness and depravity. In fact, the meaning of 21 in the Bible is an outgrowth of the number 13. When adding 13, which is sinfulness, and the number 8, which represents a new start, the sum is 21. This is why it is said the number 21 represents a new level of sin or a new effort to be sinful.

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What shape has at least one line of symmetry?

Other examples of shapes that have at least one line of symmetry include a square, with four lines of symmetry, and an equilateral triangle, with three lines of symmetry.\nWhen one half of an object is the reflection of the other half, the object is said to have line or reflection symmetry. A shape must possess at least one line of symmetry for it to be considered to have reflection symmetry. An object or figure that is indistinguishable from its transformed image is said to be mirror-symmetric.

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What are some facts about the Dewey Decimal System?

The hundreds digit of a classification describes the book's content in the most general way possible. For example, if the hundreds digit is a one, the book discusses philosophy and psychology. If the hundreds digit is a five, the book is about science. If the hundreds digit is a nine, the book discusses history and geography.\nThe tens digit covers slightly more specific divisions. For example, if a classification begins with 18, the book specifically deals with ancient, medieval or Eastern philosophy. However, if it begins with 19, the book focuses on modern Western philosophy. Similarly..

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What is a five-sided polygon called?

If, in a five-sided polygon, all sides are equal and all angles also are equal, then it is called a regular pentagon. When this is not the case, it is called an irregular pentagon.\nFor regular pentagons, all internal angles are equal to 108 and all external angles equal 72 degrees. The sum of the five internal angles is 540 degrees.\nA concave pentagon can have an internal angle that is greater than 180 degrees. In convex pentagons, no internal angle is greater than 180 degrees.

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What is the mass of a cube?

Volume can be calculated if one knows the length, width or height, as all three values are the same for a cube. Multiply these three values together to find the volume. Once the density and volume values are known, multiply them together. Because most scientific problems involve the metric system, volume is usually measured in cubic meters and mass is usually measured in kilograms, making density expressed as kilograms per cubic meter.

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What does the intersection of two planes create?

Planes and lines are both composed of points, which are the most fundamental units in geometry. Points represent a single position and mathematicians regard them as dimensionless. They are customarily referred to with a single capital letter, such as A or B.\nA line is a one-dimensional set of points that goes off to infinity in two opposing directions. Lines have length but not width or height. They are typically represented using any two points that lie along the line. The intersection of two lines in a plane is a single point. If two lines lie in the same plane but do not intersect, those l..

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What are some applications of statistics in real-life situations?

Businesses employ charts and graphs to analyze processes and make decisions, according to the Ohio Literacy Resource Center. These display the data that statistics generate. People in the media also use statistics to create percentages and frequencies to make technical stories simpler for the average person. Quality control teams use statistics to develop product standards and inform managers of progress. \nAccording to Six Sigma of the Aveta Business Institute, statistics can even help managers ascertain the best workers and isolate employees for promotion. Those in the business sector create..

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