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How many edges does a square-based pyramid have?

A square based pyramid is a pentahedron, meaning it has five faces. It consists of four equilateral triangles, which have equal sides and equal angles. This shape is a regular polygon, which by definition has a regular polygon as its base and equally sized triangles as its faces. An irregular polygon has an irregular polygon as its base and faces of different sizes.Other types of pyramids include a triangular pyramid, pentagonal pyramid and hexagonal pyramid, all of which are named for the shape of their bases. A right pyramid has sides that are isosceles triangles, which have two equal sides ..

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What is a polygon riddle?

The riddle below is an example of a polygon riddle:\nI have 4 sides.\nI have 4 right angles.\nEach of my sides is equal.\nThe answer to this riddle is a square. The answer grows clearer as each statement progresses. Four sides and four right angles make the shape a rectangle, but the fact that each of the sides are equal makes it clear that the shape is a square. This is a very basic polygon riddle.

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What does the slope of a graph represent?

The slope of a graph illustrates the rate of change from one point on the graph to another point. It may be either positively sloped, sloping upward from left to right, or negatively sloped, sloping downward from left to right. Steeper graphs have a greater rate of change than do shallower graphs. A perfectly vertical graph has an undefined slope, while a perfectly horizontal graph has a slope of zero.

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How are prime numbers used in everyday life?

Prime number encryption works as soon as a consumer inputs a credit card number online. The RSA algorithm uses a public key and a private key to hide information from possible thieves. The public key is available to the public, but it is hard to break because it is a product of two very large prime numbers. The private key, known only to the merchant, is a product of two smaller prime numbers.\nThe reason this RSA algorithm encryption works is because the number used to encrypt the data with a public key is a very large number that is hard to factor into prime numbers. The University of Califo..

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What is "I" in Roman numerals?

Other basic units in the Roman numeral system include V for five, X for 10, L for 50, C for 100, D for 500 and M for 1,000. Writing the number four involves portraying it as five minus one, or IV. When a letter representing a smaller number than the one to its immediate right, it is subtracted from the larger number. Likewise, IX equals 10 minus one, or nine.

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How many faces does an icosahedron have?

An icosahedron is an example of a Platonic solid, which is a polyhedron that is regular, convex, made of congruent faces of regular polygons, and has the same number of faces meeting at each vertex. Only five known shapes meet this criteria.\nThe other Platonic solids include the tetrahedron with four triangular faces, the cube, or hexahedron, with six square faces, the octahedron with eight triangular faces and the dodecahedron with twelve pentagonal faces.

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What is the square root of 34?

Sometimes one can simplify a radical expression rather than resorting to writing it as a rounded decimal, even if the number under the square root is not a perfect square. For example, ?32 can also be written as 4?2, because ?32 = ?(16*2) = ?16 * ?2 = 4*?2. This works because 32 has 16 as a factor, and 16 is a perfect square. The factors of 34 are 1, 2, 17 and 34, none of which are perfect squares, so ?34 does not simplify any further.

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What does cos(2pi) equal?

By definition, cos(x) is equal to the ratio of the adjacent side of a right-angled triangle to its hypotenuse. As the angle of the triangle approaches zero, this ratio tends towards one. An angle of zero is always equivalent to an angle of 2pi radians, so cos(2pi) = cos(0) = 1.

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What are subtracting logarithms?

Logarithms are a form of inverse exponents. Raising 2 to the third power, also known as multiplying 2 by 2 by 2, equals 8. If 2 raised to the third power equals 8, then a logarithm with base 2 and an argument of 8 equals 3. In the case of exponents and logarithms, the base is the same.\nThe mathematical precursors of logarithms were first studied by the Babylonians in 20th century B.C. These theories were later refined and expanded by the eighth century Indian mathematician Virasena. He developed tables of logarithms to bases 2, 3 and 4. In 1614, Scottish mathematician John Napier first coined..

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What is 10 to the 100th power?

The word "googol" was first used by Milton Sirotta in 1938. The googol itself has no real mathematical significance other than to demonstrate the magnitude of numbers. The googol has two prime factors, the numbers two and five, and there are 100 of each of those numbers in the prime factorization. To get an idea of how large a googol is, remember that 10^6 is one million and 10^9 is one billion.

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