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How many vertices does a triangular pyramid have?

The geometric word for this type of pyramid is "tetrahedron." To calculate the volume of a tetrahedron, one should first find the base triangle's area by multiplying the base by the height and dividing that number by 2. Then, that figure is multiplied by the height of the pyramid and multiplied again by 1/3. To calculate the surface area of the pyramid, the same formula is used as in figuring the base area. That figure is multiplied by 4 since the pyramid has four triangle faces.

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What is the Roman numeral for one million?

Romans used a set of letters to represent numbers. In addition to M, the following letters were used:I: 1V: 5X: 10L: 50C: 100D: 500Letters were combined to make other numbers, for example, LX represents 50 plus 10, or 60. Letters that are listed after a letter representing a larger number are added, while those that come before a larger number are subtracted. For example, VI represents 6, and IV represents 4.

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How are integers added?

There are several types of numbers in mathematics: counting, whole, integer, fraction, rational, irrational, real, imaginary and complex. Counting numbers include 1, 2, 3, 4, 5 and so on, while whole numbers are counting numbers including zero.Fractions are ratios of two integers, where one integer is divided by another integer that is not zero. Rational numbers are numbers that can be expressed as a fraction, while irrational numbers are non-repeating, non-terminating numbers. Real numbers include all the rational and irrational numbers. An imaginary number is any number that when multiplied ..

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What is the order of operations with fractions?

The general rule of the order of operations holds true for most equations, provided they contain real numbers. With fractional equations, multiplication and division may be required to solve the problem. In that case, multiplication is performed first and is then followed by division. Similarly, addition and subtraction may be needed to balance an equation. With more complex mathematical expressions, the general rule governing the order of operations may change. When using expressions with exponents, for instance, the exponents precede multiplication and division in the order of operations. Th..

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What is the way to find the lateral area of a square pyramid?

In pyramids, the lateral area equates to half of the slant height multiplied by the perimeter. Slant height varies in value depending on the type of pyramid. Regardless of pyramid type, however, slant height is defined as the distance from the vertex of the pyramid to the base. This halfway point marks the center of the triangle, and is the middle distance between the vertices of the bases. The formula for determining the lateral area of pyramids works for most pyramids, with the exception of objects that have irregular shapes and oblique cones. Lateral area is more difficult to find in these ..

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How many combinations can you make with six digits?

Using the digits 1 to 9, with none repeating, 60,480 combinations can be made. To determine the number of combinations, find the number of digits possible for each position and then multiply these numbers. For example, using only numbers 1 to 6 would give the equation 6 x 5 x 4 x 3 x 2 x 1 (also known as 6! or 6 factorial) for a result of 720.

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How do you long division step by step?

Write the problem correctlyConsider the example 4215/5. Write the number 4215, and make a division box by drawing a line upward from a spot just to the lower left of the "4" straight up to a spot just above the upper left of the number. Turn your pen to draw at a right angle, making a horizontal line across the top of "4215." Write the "5" to the left of the vertical line.Begin dividing the outside number by the inside digitsConsider the example from Step 1. Calculate how many times 5 goes into 4; since 5 does not even go into 4 once, move to the right by one digit, and see how many times 5 go..

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What is the way to solve "ln(e^2)"?

Substitution methods begin by allowing both sides to be exponents of the base e. Another example is ln(x) = 8. This can be rewritten as e^ln(x) = e^8 when both sides are exponents of the base e. When the base of an exponent and the base of a logarithm are the same then the left side can be written as x so this equation could now be written as x = e^8. This provides the answer, which is x is approximately 2,980.95798704.When working within logarithms and natural logarithms, there are important rules to keep in mind. One is that the definition of a natural logarithm is e^y = x. The base e logari..

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How do I calculate the incline of a treadmill?

Measure the treadmill when flatSet the treadmill to its flat setting. Use a level or measure the heights of the front and back rollers, which should be equal distances from the floor.\n\nMeasure the length from roller to roller. This length is the hypotenuse of the triangles you measure later.Measure the inclined treadmillIncrease the incline of the treadmill. Measure the new distances from the rollers straight down to the ground. The difference between these two heights is the height of the triangle or the rise of the slope.Use the Pythagorean theorem to solve for gradientThe total length or ..

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Who discovered multiplication?

To survey the land, the Pharaoh's surveyors developed a measurements system that was based on body parts, which led to the development of a decimal numeric system. This decimal numerical system was based on the human's 10 fingers. We know all of this from looking at the mathematical text from ancient Egypt, which is the oldest mathematical text discovered thus far. It dates to the Egyptian Middle Kingdom around approximately 2000-1800 B.C.Another document, the Rhind Papyrus, dates to 1650 B.C. and provides an instructional method for both multiplication and division. It also shows th..

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