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How can you draw an octagon to scale?

Octagons can also be drawn using a compass and straightedge ruler, although the process is more complex. Use a compass to draw a circle 4 inches in diameter, and then use the straightedge to divide the circle into four equal quarters with two perpendicular lines. Draw a second circle around the first, this time measuring a diameter of 4 1/2 inches. Extend the perpendicular lines to intersect the second circle as well.\nKeeping the compass at the 4 1/2-inch diameter, draw a vertical arc near the center of the circle that extends across both sides of the circle. Draw a mirroring arc on the other..

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How many five-number combinations are there if all possible numbers are one through 59?

This is called a permutation with repetition because each number can be used more than once and order matters. If each number, one through 59, can only be used once (a permutation without repetition), there are 600,766,320 combinations. If the order the numbers are in does not matter and there is no repetition (such as when lottery balls are picked), then there are 5,006,386 possible combinations.

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What are some rules for adding and subtracting integers?

The rules for subtracting integers are a little more complicated. Subtracting one positive number from another results in a positive answer if the first number is larger than the second and a negative answer if the second number is larger than the first. For example, 5 - 7 = -2. Subtracting a negative from a positive results in a positive number because taking away a negative quantity is the same as adding a positive. For example, 8 - (-3) = 11. Subtracting a positive from a negative results in a larger negative number. For example, -3 - 4 = -7. Subtracting a negative from a negative results i..

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How do you find the X and Y intercept solver?

An example provided by SELU uses the equation 3x + 4y = 12. The first step they take is to set y = 0 and solve for the x intercept. The x intercept is the point on the x axis where y = 0. Replacing y with 0 yields 3x + 4(0) = 12. Since 4(0) = 0, the equation becomes 3x = 12. To get the x variable alone on the left side of the equation, divide each side by 3. The equation now appears as x = 12/3. Solving 12/3 provides the x intercept, x = 4.\nSimilarly, following SELU's provided example, to solve for the y-intercept, set x = 0, and solve algebraically. Replacing x for 0 in the original equ..

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How do you calculate the mark up of a product?

To make a profit, store owners use a selling price that is based on the original cost of an item and a markup percent rate. These types of problems entail finding the percent change relative to the original product cost of items.Use the formula to calculate the markupSubstitute the values for the selling price and cost of product into the formula selling price of product = product cost + markup to get $7.20 = $6 + markup. Subtract $6 from both sides to find the markup as $1.20.Find the markup percent rateCalculate the markup percent rate by knowing that the markup of $1.20 is a percent Y of th..

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What is the "less than" symbol?

When learning about "less than" and "greater than" in a math class, people often remember that the "less than" symbol looks like an L and features its tinier end first. There is also a similar symbol called "less than or equal to" which features the "less than" symbol with a straight line underneath it to denote that any number after the symbol is of equal or lesser value.

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How do you calculate the area of a triangle?

Multiply the base and the height, and divide the product by twoRead the parameters of the problem, looking for the base and height. Plug those two numbers into the formula to calculate the triangle's area. Use the Pythagorean theorem to calculate the height if you know where the altitude (the line from one angle that forms a right angle with the opposite side) meets the base.Use Heron's Formula if you know all three sidesApply Heron's Formula to calculate the area of the triangle if you do not know the base and height. Calculate the semiperimeter (s = 1/2(a+b+c)), where a, b and..

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What shape has 12 sides?

A dodecagon also has 12 vertices and 12 internal angles at each one of those vertices. The internal angle in a regular dodecagon is 150 degrees, making the total sum of angles 1,800 degrees. Many historic buildings have been built in the shape of a dodecagon, including the Vera Cruz church in Segovia, Spain, and the Torre del Oro, a 13th century military watchtower in Seville, Spain.

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What is the target population in research?

The "sample" is different. This is the actual group from which data is collected. It is a subset of the population and should be a typical representation of the larger group. Depending upon the size and type of the population and the type of study, different methods are available to help identify a fair sample, such as random sampling and matched sampling. Populations and samples do not need to be humans. Research can collect information on a wide range of subjects, including animals, plants and manufactured goods.

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What is a matrix inverse?

Only square matrices, which have an equal number of rows and columns, have an inverse. An identity matrix is a matrix that has the number one on its diagonal but zeros in every other place. For a two-by-two matrix, the inverse can be calculated by dividing one by the product of the upper-left to lower-right diagonal minus the product of the other diagonal.

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