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How do you solve trigonometry problems?

Trigonometry is not only useful in the classroom, but in the real world as well, such as in geosciences when measuring ocean waves and movements of tectonic plates. With a few basic guidelines in mind, solving trigonometry problems can be more simple than they appear.Understanding ratios is the key to solving trigonometry problems involving right angles at 90 degrees. Use the ratios, sine = opposite side / hypotenuse; cosine = adjacent side / hypotenuse; and tangent = opposite side / adjacent. Depending on which two of the three variables you have, you can solve for the third using one of the ..

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What does "tessellation" mean?

Regular tessellations are tessellations made up of regular polygons, or shapes whose sides and angles are all equal. A simple example of a regular tessellation is a pattern made up of squares that touch on each side, as on a checkerboard. Semi-regular, or Archimedean, tessellations are made up of two or more different kinds of regular polygons such that the pattern at each vertex where the shapes meet is the same.

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What is a broken axis graph?

Broken scale graphs are useful in situations when the numbers near zero are not needed. For example, if one of the axes measures temperature during the summer months, it is unlikely that temperatures are below 20 degrees Celsius. In this case, breaking the axes serves to "zoom in" on the important data. Broken axes should only be used to make existing relationships more apparent. Broken axes should not be used to distort the nature of the data.

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What is a linear function solver?

Linear equations are also written as functions, which are equations that require input and generate output. A linear equation of y = 3x - 4 may also be written as the function f(x) = 3x - 4. Both of these forms solve for y when the value for x is given. For example, y = 3(2) - 4 becomes y = 2 and f(2) = 3(2) - 4 becomes f(2) = 2.\nLinear equations are used to determine the values of a straight line. One of the most common linear formulas used is the slope-intercept form. The formula is y = mx + b, where m is the slope and b is where the line intercepts the y-axis. In the example y = 3x - 4, th..

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What is the congruent sign?

Line segments that are the same length are identified as congruent. Polygons are considered congruent if they have exactly the same size and shape. For instance, two identical octagons are congruent. In addition, if the polygons were to be placed one on top of the other, the sides of each polygon that matched would be identified as "corresponding." Corresponding angles of congruent polygons also match.

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What is the symmetric property of equality?

The symmetric property of equality allows individuals to manipulate an equation by flipping the statements on each side of the equals sign. For example, in algebra, this means that the equations 11 = 2x + 5 and 2x + 5 = 11 are equivalent.\nOne useful application of the symmetric property of equality is that reorganizing equations makes it easier to solve systems of equations. For example, if one had two linear equations, 11 = 2x + 5 and -2x + 3y = 6, the symmetric property of equality allows the equations to be ordered so that they can be added together. Thanks to the symmetric property of equ..

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What is a perfect square trinomial?

Consider the quadratic trinomial x^2 + 24x + 144. To be a perfect square trinomial, it must factor into two identical binomials, which means the first term and third term must both be perfect squares. The first term is the perfect square of x, and third term is the perfect square of 12. Before it can be positively determined that the trinomial is a perfect square, the middle term must be equal to two times the product of the first and third terms. In this case, 2 times 12x equals 24x, so x^2 + 24x + 144 is a perfect square trinomial equal to (x + 12)^2. The product of (x - 12)^2 has the same f..

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What is the strongest geometric shape?

A triangle is often paired with a dome to create a very solid structure. The domes that incorporate the use of triangles in their structure are referred to as geodesic domes. These domes distribute pressure in a cascading pattern to dissipate stress without causing structural damage. Many other geometric figures can be broken down into triangles. These figures include squares, pentagons and hexagons.

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What is the horizontal analysis formula?

Numbers that are unusually high or low trigger a full investigation to determine the cause of the difference. A horizontal analysis uses a simple grouping of information sorted by periods. The numbers in each period are shown as percentages depicting the amount earned in the baseline year. The baseline amount in each period is always listed as 100 percent.

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How does a calculator for decimals work?

To understand calculators, you must first understand binary. Binary is a number system with only two numbers. 0 and 1. Counting in Binary would look something like this. 0, 1, 10, 11, 100, 101, 110, 111. Calculators have hundreds of little switches that are set to either off (0) or on (1). In order to handle numbers, the calculator converts a number into binary so it can work with it via a variety of processes that involve switching the array of switches on and off.

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