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What is a 12-sided shape called?

The name dodecagon is derived from the Greek words meaning "twelve" (dodeca) and "angles" (gon). Polygons are considered regular polygons if all of their sides and angles are equal. A regular dodecagon has interior angles of 150 degrees. It is also considered a convex dodecagon because none of its interior angles are greater than 180 degrees. Irregular dodecagons have unequal angles and sides. If one of the interior angles is greater than 180 degrees, then it is also a concave dodecagon.

What is Common Core math?

Teachers use the Common Core math program to teach students from kindergarten through their senior year in high school. Teachers measure their students’ progress all through the year to help them succeed in the program. Common Core uses a more specific approach instead of broad generalities in math problems. Students use research-based skills to solve math problems that have everyday life skills, collegiate and career ideals woven in. The program focuses on organizing principles and using the laws of arithmetic to help structure those skills.\nAs of 2014, 43 states plus the District of Colum..

What is a negative rational number?

A rational number is any number that can be written as a fraction, of which the numerator and denominator are real numbers, and the denominator is not zero. For example, 1/3 is a rational number, but 3/0 is not. The number 9 is rational because it can also be written as 9/1. Numbers that are not rational are called irrational, and some examples are pi and the square root of three.

What is the importance of statistical quality control?

Statistical quality control relies on statistics and data reports to assess quality and is therefore an efficient means to evaluate a manufactured product. Statistical quality control helps maintain the consistency of how a product is made. Statistical quality control methods can include cause-and-effect analysis, check/tally sheets, histograms, Pareto and scatter analyses, data stratification, defect maps, events logs, progress centers and randomization. Graphical charts and graphs, the part of statistical process control that monitors the manufacturing process, help decipher the statistics a..

How do you factor cubes?

Factoring a problem into a sum of cubes only takes a few steps. Multiplication is the main skill needed to find the answer.Step 1: Write the original problem as two perfect cubesUsing the problem x3+64, this step is (x)3+(4)3. To make for easy reference for the rest of the process, simply use x + 4 and disregard the square for now.Step 2: Square-multiply-squareUsing the answer from Step 1, in this case x + 4, square the first item in the problem. This gives the answer x2.Next, multiply the two items in the problem; in this case the answer is 4x.Finally, square the last item in the problem, giv..

What is a net change in math?

An example of net change can be seen in the equation: X - 5 + 2 = 4. This equation can be simplified and written as: X - 3 = 4. The net change here is - 3 because the person solving the equation will need to subtract three from X in order to get 4. The net change is the sum total of the two changes to X, which are subtracting 5 and adding 2.When teaching young children how to complete basic problems, many instructors will show the children how to undo net change in order to figure out he problem. In the example provided above, the children can see that the net change is - 3, which means that X..

What is the order of operations in evaluating algebraic expressions?

In evaluating an expression, work is done from left to right beginning with any calculations in parentheses and brackets. When there are double sets of brackets or parentheses, the innermost sets must be done first. When this step is completed, the next step is to solve the exponents found in the expression. The next steps involve multiplication and division. These operations are to be completed in order from left to right as they appear. Not all multiplication is done before division, but the two are done in order of appearance. Finally, operations involving addition and subtraction are done ..

How do you find a derivative?

Plug the function into the derivative formulaThe formula for the derivative of f(x) with respect to x is f'(x) = lim(h->0) ((f(x + h) - f(x)) / h). If the given function is f(x) = x^2 - 8x + 12, plug the function into the numerator of the formula. The result is f'(x) = lim(h->0) (((x + h)^2 - 8(x + h) + 12 - (x^2 - 8x - 12)) / h).Distribute all of the termsDistribute all of the terms in the numerator, paying attention to any subtraction symbols. Once the function f(x) = x^2 -8x + 12 is plugged into the derivative formula and distributed, it becomes f'(x) = lim(h->0) ((x^2 + 2xh ..

How do I read a line graph?

One example of a line graph could track the temperature of a particular place over time. The horizontal axis could reflect the time of day, with marks set up every 15 minutes, every hour, every six hours or the time periods at which measurement of the temperature is desired.\nMeasuring the temperature at the assigned time provides the information for the points on the graph. The marks going up the vertical axis could begin at zero and go several degrees above the highest temperature that the area generally receives at that time of year; if the temperature goes below zero, then the vertical axi..

How is trigonometry used in architecture?

Trigonometry is a class offered in high schools and colleges that has a practical application in many careers, one of which is an architect. There needs to be a way for an architect to translate his or her ideas of a building or other structure into something easily distinguished by the contractor. This is where math, such as trigonometry, comes in. In math, trigonometry deals with the relations of the sides and angles of triangles to each other and surrounding shapes and angles. Architects use these measures to translate the design from their vision to paper. Contractors then use these measur..

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