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How do you find the surface area of a sphere?

In geometry, a sphere is defined as a perfectly round, three-dimensional object. A smooth round ball, such as a Ping-Pong ball, is a perfect example of a sphere. The radius of a sphere is the measurement from the center point out to a point on the surface of the sphere. Once a person knows the radius, it is simple to calculate the surface area, sometimes referred to as the "curved surface area," or CSA.Write out the equationPlug the measurement of the radius into the equation for the CSA. For example, if the radius is 3 centimeters, then the equation is written as: CSA = 4(3.14)(32).Square the..

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What are antiderivatives of trig functions?

University of California at Davis provides the example of the derivative of sin(x) as cos(x). To find the antiderivative of cos(x), go backwards from D(sin x) = cos(x), making the antiderivative of cos(x) to be sin(x) and some constant C. Princeton University notes that this constant C, known as the constant of integration, is essential when describing the integral of a trigonometric function because the antiderivative of cos(x) can be sin(x) + 5 or sin(x) + 5 million. To account for the constant with a derivative of zero, the constant of derivation is implemented to describe all possible cons..

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How is the structural strength of steel calculated?

Steel manufacturers determine the point at which the object deforms or buckles but does not return to its original shape or position, which is known as the yield point. The calculation of strength is usually based on one of the six types of stress:\n\n\nFatigue\nFlow\nPressure\nResidual\nStructural\nThermal\n\n\nThe direct method of calculating structural strength is based on the yield point of the object, while the effective width method takes into account the effects of stress on the total load and a uniformly distributed stressor, rather than the impact of a stressor on only a cross section..

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What are the first six square numbers?

The usual notation for the formula for the square of a number n is not the product of n?×?n, but the equivalent exponentiation n to the power of 2, usually pronounced as "n squared." The name "square number" comes from the name of the shape.\nSquare numbers are non-negative. Another way of saying that a (non-negative) number is a square number is that its square roots are integers. A positive integer that has no perfect square divisors except 1 is called square-free.\nThe unit of area is defined as the area of unit square (1?×?1). A square number is also the sum of two consecutive triangular..

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How many edges does a cylinder have?

Cylinder originates from the Greek word "kulindros," meaning "roller" or "tumbler." It is a basic geometric shape, defined by its axis and enclosed surface area. In differential geometry, a cylinder's properties are more broad. When its cross section is an ellipse, parabola or hyperbola, a cylinder is called an elliptic, parabolic or hyperbolic cylinder, respectively.\nEveryday uses of a cylinder are containers, the piston chamber in engines and bullet chambers.

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How many angles are in a triangle?

If the triangle is an equilateral triangle, then all three angles are exactly 60 degrees each. A right-angled triangle has one angle of 90 degrees, which is the right angle, with two more angles that total 90 degrees when added together. Any triangle that has two equal angles is called an isosceles triangle. A triangle whose angles are all different sizes is a scalene triangle.

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What is the formula to find percentages?

Assume Johnny got 34 correct answers out of 50 total questions. To figure out his percentage of correct answers, first divide 34 by 50. The result is 0.68. Multiply that number by 100, and the result is 68 percent. If something happens 15 out of 15 times, divide 15 by 15. The result is 1.0 times 100, or 100 percent.

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How do you average your grades?

For example, any score from 93 to 100 percent is an A or A+, and it is worth four points on the 4.0 scale. An A- is 90 to 92 and worth 3.7 points. Calculate each grade into a numeric value, either as a percentage or on the 4.0 scale. Then, add all these numbers together. Finally, divide by the total number of grades. This results in the arithmetic mean, the number most commonly thought of as the average. However, the word "average" can be used to refer to the median, the mode or another type of calculation. Adjust depending on which is desired.

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What are the branches of trigonometry?

Plane trigonometry focuses on the relationships between the angles and sides of triangles that have three vertices located on the surface of a plane. Students studying plane trigonometry learn about concepts like right angles, straight angles, acute angles, complimentary angles and supplementary angles. Since the triangles are all located on a plane, the sum of the angles is always 180 degrees. \n\nIn spherical trigonometry, students study curved triangles drawn on the surface of a sphere. This design means the sum of the angles of these triangles is higher than 180 degrees. Spherical trigonom..

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Is zero a rational number?

Because any integer can be represented by that same integer divided by one, all integers are rational numbers, including positive integers, negative integers and zero. All integral fractions are rational numbers by definition, as are all decimal fractions that terminate, which implies that they're ratios of some power of ten. The same can be said for decimal fractions that eventually repeat, which is characteristic of integer fractions.

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