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What is arctangent?

In trigonometry, tangent (tan) and arctangent (arctan) are functions associated with a right triangle. The tangent of an angle can be found by using the formula opposite side (O) of angle C divided by the adjacent side (A), or the ratio O/A. Therefore, tan(C) = O/A and angle C = arc tan (O/A).An example of finding the arctan is the problem tan(C) = 3/4 or 0.75. Angle A equals the arctan(.75), and angle C equals 36.87 degrees. For inverse functions, the range is between -90 degrees and +90 degrees, while the domain is all real numbers.

What is the law of variable proportions?

In business and economics, calculating outcomes such as production requires a number of different equations. Once a business has formulated an approximation of its current production yield based on capital and labor availability, it can estimate future production levels. However, it is important that it also includes several important economic laws that might apply to the situation in these calculations. Chief among these is the law of variable proportions.\nThe law of variable proportions helps to make sense of long-term increases in scales of production. This is because it highlights the fac..

What are some of Fibonacci's accomplishments?

Because his father was a merchant and stationed by the Italian city-state of Pisa in what is now modern-day Algeria, Fibonacci received an education from the Moors in Northern Africa. This enabled him to see the advantages of the Hindu-Arabic arithmetic system over European methods. He also went further in his studies and sought out the leading Arab mathematical instructors in the Mediterranean area to learn more of their methods. Fibonacci returned from his journeys around 1200, and at the age of 32, he completed his work on "Liber Abaci" in 1202.The decimal positional system, the use of zero..

Where can you find online help with multiplication problems?

One online lesson that students can avail from the multiplication website is the times table, which include common multiplication equations from 0x0 to 9x9. Students can learn through pictures and stories, easy-to-understand explanations about the underlying concepts behind each expression and ways to remember the answers to each equation. The free games and quizzes can also help teachers and parents keep track of the progress of their students or children.Math Blaster provides downloadable multiplication worksheets for students in different levels. Kids can also engage in the various educatio..

What does a parallel line look like?

Parallel lines never meet, meaning there is no intersection point between the two lines. Parallel lines always point in the same direction. When a pair of parallel lines are crossed by another line, called a transversal, the parallel lines share the same angles. These angles are referred to as pairs of angles. Perpendicular lines are the opposite of parallel lines. They are formed when a pair of lines intersects at a right angle.

What is 40 percent off of $35?

A percent is equivalent to 0.01. Therefore, 40 percent is equivalent to 0.40. To calculate a certain percent of another number, the percent in decimal form is multiplied by that number. In this case, 0.40 is multiplied by $35. The result is $14, which is the markdown amount. The final cost is computed by subtracting the $14 markdown from the original $35 price. This gives the new total after the markdown is applied, which is, in this case, $21.

What is the nearest neighbor algorithm?

There are several steps to follow when applying the nearest neighbour algorithm to the problem. First, one has to choose an arbitrary vertex as the current vertex. Then, the shortest edge that connects an unvisited node to the current vertex should be determined. This unvisited point should then be set as the current vertex and marked as visited. If, after this, all the vertices in selected domain are visited, one should terminate the process. If not, then one should execute the second step again. Practical areas where this algorithm has been successfully used include coding satellite images, ..

How are radical expressions and rational exponents used in real life?

Radical expressions are mathematical expressions that contain a square root. They are commonly found in trigonometry and geometry. Radical expressions are also found in electrical engineering.Rational exponents are exponents that are in the form of a fraction. A rational exponent can be used to calculate the inflation on a home over a period of time. In science, biologists use rational exponents to compare the surface areas of different animals to each other to help with size comparisons.

What is a 3-D triangle called?

Platonic solids are polyhedra that have faces which are regular polygons with equal shapes and sizes. There are five platonic solids that include the cube, octahedron, icosahedron, dodecahedron and the tetrahedron.The tetrahedron has four vertices and six edges. The formula for its surface area is given as √3 × (Edge Length)2. The volume formula is (√2)/12 × (Edge Length)3.

What does the slope of the budget line represent?

If the prices of goods x and y remain the same, while the income to be spent on both decreases or increases, the slope of the budget line remains unchanged. A consumer must still give up the same amount of good y for one unit of good x, but the total number of good bundles that can be purchased decreases or increases respectively. The slope changes if the prices of goods change.

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