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How many sides does a hexagon have?

Regular hexagons have six sides of equal length and interior angles that add up to 720 degrees. Hexagons don't have to have sides of equal length, though. Any closed shape with six sides is a hexagon. Hexagons that have sides of unequal length can be referred to as arbitrary hexagons. However, in a neat turn, according to Wolfram MathWorld, connecting the centroids of any arbitrary hexagon will result in a regular hexagon with six equal sides.

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What is the solution to sin(2x)+sin(x)=0?

From there, sin can be factored out, leaving sin(x)(2cos(x)+1)=0. This means that either sin(x) or 2cos(x)+1 must equal zero. Sin(x) is only 0 at 0 degrees. To solve the other piece, 1 is subtracted from both sides, and both sides are divided by 2 to give cos(x)=-1/2. Cos(x) is -1/2 at 120 and 240 degrees. All three of these answers can be checked by inserting them back into the original equation. All three give an equation of 0=0, making them true.

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What is the surface area of a hexagonal prism?

If the hexagon bases are irregular on a hexagonal prism, there is no standard formula for surface area. In order to calculate the surface area, the surface area of each individual surface must be calculated and added together. The area of rectangle sides can be calculated by multiplying length by width. An irregular polygon must be divided into smaller polygons in order to calculate its area.

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How many diagonals does a decagon have?

A diagonal, when used in reference to polygons, is a term used to describe the number of line segments that can be connected from any one vertex to another that is already attached to it. Since each vertex is already connected to itself and the two directly beside it, diagonals can be drawn to the number of vertices in the polygon minus three. This number is then multiplied by the number of vertices and divided by two to account for each line segment having two end points. Thus the formula n(n-3)/2, where "n" is the number of vertices, calculates the number of diagonals in any given polygon.

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How do you use a mixed number calculator?

The advantage of using online mixed number calculators such as the ones available CalculatorSoup and MathPapa is that in addition to performing the calculation, they also show the mathematical proof, at least partially. For instance, if you add two mixed numbers using CalculatorSoup’s version, the application shows you the steps as it converts the mixed numbers to improper fractions, cross multiplies to establish a common denominator, adds the improper fractions and converts the answer to a proper fraction. The same basic operation works on MathPapa as well. However, the mathematical proof o..

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What is 175 centimeters in feet?

Another way to arrive at this answer is to multiply the number of centimeters (175) by 0.3937 inches per centimeter. Inches and feet are U.S. customary units of length derived from the imperial system of measurement. This system is used primarily in the United States. Centimeters is a unit of length in the metric system, the system of measurement used in the other industrialized nations around the world.

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What is the answer to a subtraction problem called?

For example, in the subtraction problem 5 - 3 = 2, 5 is the minuend, 3 is the subtrahend and 2 is the difference. These terms hold for subtraction of any types of numbers, including decimals, fractions, negative numbers, mixed numbers and imaginary numbers. Similarly, the answer to an addition problem is called the sum, while the answer to a multiplication problem is called the product. The answer to a division problem is called the quotient.

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What is 30 percent of $60?

Percentage problems consist of three values: the base, the rate or percent, and the percentage or amount. The base is the quantity from which a percentage is taken. In the given equation, $60 is the base, while 30 is the rate or percent. The percentage or amount, which is what this particular example seeks to find, is $18.\nPercentage problems are often useful in determining the final price of an item on clearance after a certain price deduction. For example if a dress originally costs $50 and is marked 30 percent off, the equation $50 x 0.30 = $15 lets the shopper know she can expect to pay $..

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What are benchmark numbers in math?

Benchmark numbers can be used in a variety of estimation problems. They are often found on number lines and labeling known quantities, for example, a jar of pennies labeled with "100 pennies" next to a much larger unlabeled jar of pennies. In that example, knowing the volume that 100 pennies take up can help in estimating how many pennies are in the larger jar.\nThe concept of benchmark numbers comes from the generalized definition of a benchmark, which is a standard known quantity by which other quantities can be measured.

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What is LU factorization?

LU factorization is used to factor square matrices through the use of permutations to obtain a lower triangular matrix L and an upper triangular matrix U as the final factors. This process is represented as A = LU or A = PLU, where P is a permutation matrix. A procedural problem may arise if the leading diagonal element becomes zero.

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