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What is the equation for arc length?

An arc is a portion of a circle along its circumference. Drawing lines from the endpoints of the arc to the center of the circle creates an angle, also known as the subtended angle. For most purposes, angles are measured in degrees or radians, with 180 degrees being equal to pi radians. The length of the arc is proportional to the radius of the circle. The larger the circle, the greater the length of the arc. Likewise, the greater the subtended angle, the greater the length of the arc.

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How do you graph y=cot(x)?

The x-coordinates in column A should range from -2p to 2p in increments of p/4. The y-coordinates in column B should be the direct result of the equation y=cot(x). Insert "x" for each of the numbers in the column A and then the "y" for each of the numbers will be put in column B.Next the graphing can occur using the graphing calculator. Graph y=cotx from -2p to 2p. This can be done by hand by placing the coordinates on a graph as well, but it may be complicated because the numbers represent angles and will be in many decimals. This would be done by starting at (0,0) and counting vertically for..

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How do you add logarithms?

Applying the definition of logarithms, we can see why this property is true. To solve log(x) = z, we do the following algebra:\n10^z = x\nSimilarly, to solve log(y) = w, we do:\n10^w = y\nSo, multiplying the two expressions together, we get:\n(10^z)(10^w) = xy\nor, 10^(z+w) = xy\nNow, going in reverse, we see that this is a logarithmic expression equivalent to log(xy)\nApplying the property to a problem with real numbers:\nlog(5) + log(3) = log(3 * 5) = log(15)\nThe property mentioned above is applicable to all logarithms. For example, for the natural logarithm, ln (also defined as log base e)..

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What is the cube root of 250?

It is possible to simplify a cube root by factoring out the cube of a whole number. Since 250 is equal to 125 times two, and 125 is the cube of five, the equation can be written as the cube root of 125 times the cube root of two. Simplified further, the equation is five times the cube root of two.

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What sort of triangle has no equal angles or sides?

A right triangle has one right angle that measures 90 degrees. An obtuse triangle has one angle that is larger than 90 degrees, and all angles of an acute triangle are less than 90 degrees.\nTherefore, a scalene triangle can be described using additional terminology. For example, a scalene triangle with sides that are 45, 60 and 75 units in length is an acute scalene triangle. If the angles measure 90, 50 and 40 degrees, it is a right scalene triangle.

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How is probability used in real life?

In addition to being used for predicting potential outcomes for things like weather forecasts and political elections, probability is used in several different professional fields. Public health workers can use probability to warn a high-risk population about the danger of contracting a disorder to illness, and example of which would be a cancer charity publishing materials that state that smokers have a certain percent chance of developing lung cancer.Other fields can use probability in different ways to communicate risk or benefit to clients or the general public, and probability can also be..

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What is the generic competency model?

Each of these competencies is then defined in a way that makes them relevant to the organization or sector. It is important to use language that is clear enough to ensure that everyone has a common understanding of what ‘excellent’ job behavior looks like within the generic context. This common understanding then becomes the benchmark against which the performance of an individual, team, project or even entire organization can be assessed.

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How do you find the area of a kite?

For this formula to work, the diagonals of the kite must be perpendicular to each other, and one diagonal must be bisected by the other. This formula is also used for determining the area of a rhombus. The area of a kite can also be calculated by a trigonometric formula. If a and b are the lengths of two unequal sides of a kite, and if C is the angle between them, the area of the kite can be found with this formula: absinC.

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What is the prime factorization of 65?

To find the prime factorization of a number, first write down all the factors of the number excluding 1 and the number itself. Next, factorize any nonprime factors into their prime factors. For example, the number 12 can be factorized as 3 x 4. To find the prime factorization of 12, one would then need to factorize 4 into its prime factors, which is 2 x 2. The prime factorization of 12 is therefore 2 x 2 x 3.

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What is RMS velocity?

In the formula, R is the ideal gas constant (approximately 8.31 kg m^2 s^2 / K mol), T is the absolute temperature in Kelvin and M is the mass in kilograms of one mole of the gas. To use this formula, one must convert the molar mass of the gas, which is usually given in grams per mole, to kilograms by dividing by 1,000. As the temperature of a gas increases, the RMS velocity also increases, reflecting the fact that the molecules are moving around with greater speed.

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