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What are examples of wedges?

Other wedges that drive into materials and force them to split are chisels, jackhammers, bulldozers, snow plows, horse plows, airplane wings and bows of boats or ships. Though separation of materials is clearly involved, some wedges, such as staples, push pins, tacks, nails, zippers and doorstops, are ultimately used to hold things together.\nWhen a wedge is narrow, or when it has a sharp point, it is more effective at separating things. For example, narrow fork tines force bits of food apart better than thick tines do. A knife is also a wedge, and sharper knives slice food with less effort. N..

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How do you solve math functions?

It is common to be given a function and asked to evaluate it at a certain point. A statement like: "Given the function y = -4x+9, evaluate it at x= -2" simply requires you to use the given value for x (-2) in the function (y = -4x+9). In this example, once an x-value of -2 is plugged into the function, it looks like this: y = -4(-2) + 9. Using simple multiplication and addition, the answer to the function emerges as y = 1. This means that the y-value of the function when x = -2 is 1.\nAnother way to understand what this means is to think about the graph of the function. The given function is ..

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How is the interquartile range determined?

The IQR is also called the "middle fifty" or the "midspread" and is used to measure statistical dispersion in descriptive statistics. When a box plot is made of the data, the three quartiles can be easily seen as a graphical representation of a probability distribution. A useful application of the interquartile range is to determine the outliers in data.Descriptive statistics, in which the IQR plays an important role, involves the organizing and summarizing of data so that it can be more easily understood. Unlike inferential statistics, the objective of descriptive statistics is to describe da..

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How do you write an indirect proof?

Assume the opposite of what you need to proveIndirect proofs commonly deal with proving that something is not equal, similar or perpendicular. The first step in writing an indirect proof is to assume the exact opposite of what you seek to prove is true. For instance, if the task is to prove that two lines are not equal in length, assume that they are equal.Work through the problemBased on the assumption that the opposite of the statement is true, work through the problem in such a manner that the results contradict any one of the given facts. For instance, if it is given that two lines are not..

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What is a method for multiplying fractions with exponents?

One example in which there are no variables is "(3^2 / 4^2) x (2^4 / 6^3)." In this case, the first step of factoring simply involves writing out all the exponents: "(3 x 3 / 4 x 4) x (2 x 2 x 2 x 2 / 6 x 6 x 6)," and then factoring again: "(3 x 3 / 2 x 2 x 2 x 2) x (2 x 2 x 2 x 2 / 2 x 3 x 2 x 3 x 2 x 3)." The second step requires canceling. All the numerators cancel out with two of the 3s and four of the 2s in the denominator, leaving only "1 / 2 x 2 x 2 x 3." The third step is to simplify, so in this case the denominator gets multiplied for the final answer: "1 / 24."\nAn example of a probl..

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What are lines that are non-coplanar called?

Lines, line segments and points that are coplanar have the characteristic that they can all be contained in one common plane. Non-coplanar lines, or skew lines, do not exist in any one particular plane; no one plane can completely surround both lines at once. In addition, skew lines contain no points of intersection between the two lines. Parallel lines also do not intersect each other; however, parallel lines are coplanar because it is possible to embed them within a common plane.

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What is one quarter of a circle called?

There are 360 degrees in a circle. Half of a circle is called a semicircle, and it contains 180 degrees. Whereas there are four quadrants in every circle, there are two semicircles.\nThe diameter of a circle is a straight line passing through the circle's center and touching the circle at each end. A circle with a horizontal line of diameter and a vertical line of diameter drawn is divided into quadrants. With only one diameter drawn, the circle is divided into semicircles.

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Where and when did Pythagoras live?

Samos is located off the coast of modern-day Turkey. Pythagoras never wrote anything, and there are no detailed written accounts of his thoughts by his contemporaries, such as Plato and Aristotle. While in modern times Pythagoras is known as a scientist and master mathematician, up to 150 years after his death he was not known for these things. He was known as an expert on what happened to the soul after death and religious rituals.

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How do you find the ratio?

Count the itemsIf finding the ratio of men to women, first count up how many men there are, then how many women there are. Always keep track of the order of items, as it should not change. For example, if there are three men and six women, the ratio of men to women is "three to six." This is called expressing the ratio "in words."Find the ratio in other notationsFrequently, it is expected that the ratio is given in more than one way. To give the ratio as odds, give both numerals with a colon separating them From the previous example, the odds notation would be 3:6. To give a ratio as a fracti..

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What types of quadrilaterals have four congruent sides?

As a polygon, a quadrilateral has a two-dimensional shape with four sides and four angles. Examples of quadrilaterals are rectangles, parallelograms, squares and rhombuses. Only squares and rhombuses are considered regular quadrilaterals because their sides are all the same length. A square is a quadrilateral with four congruent sides, with the opposite sides parallel, and four right angles. A rhombus has four congruent sides that do not form right angles.

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