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What is the strongest shape?

The primary reason for a triangle's strength is its rigid composition. When force is applied to a triangle, most of the stress is transferred to the vertices because the internal angles and sides are fixed. A triangle will not deform; it will either withstand the stress or break. In comparison, when force is applied to a square, specifically on one of the sides, it can buckle in and cause the shape to collapse.

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What are the Roman numerals for 1 through 1,000,000?

The numbers continue in this pattern. Up to three digits may come after the number and up to one digit may come before, so 11 is XI [10(X) + 1(I)], 12 is XII, 13 is XIII and 14 is XIV [10(X) + 4(IV)]. The numeral for 50 is L, 100 is C, 500 is D and 1000 is M.\nAfter 1000, a line drawn above the numeral indicates that the number is 1,000 times that amount. A V with a line over it would indicate 5,000, and an X with a line over it would indicate 10,000. A C with a line over it would indicate 100,000, and an M with a line over it would indicate the number 1,000,000. The Romans did not have a symb..

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What is a factor string?

A factor is one of the numbers that is multiplied to find a product in a multiplication problem. Factor strings break whole numbers down into their factors. Some factor strings contain composite numbers. For example, 24 x 3 is a factor string for 72. Prime factor strings only contain prime numbers. For example, 7 x 13 x 2 is a prime factor string for 182. Each composite whole number has only one corresponding prime factor string.

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How do you factor polynomials with four terms?

Separate the terms of the polynomial into two groupsFor example, consider the polynomial x^3 + 5x^2 + 3x + 15. No terms can be combined because each term has a different degree of x, but grouping terms allows factoring. In this case, the first two terms share a common factor of x^2, and the last two terms have a common factor of 3, so rewrite the polynomial as (x^3 + 5x^2) + (3x + 15).Factor each binomial separatelyThe term x^2 can be factored from (x^3 + 5x^2), resulting in the new term: x^2(x + 5). The number 3 can be factored from (3x + 15), resulting in the new term 3(x + 5). Combine any ..

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What is a bimodal distribution?

An example of a bimodal distribution would be a population with a large number of teenagers and a large number of elderly but a small number of middle-aged people. A frequency graph of this population based on age would show a peak near the beginning and another near the end.\nWhen the two modes are different heights, the larger one is called the major mode and the smaller one is called the minor mode.

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What Is a 360 degree angle called?

An angle that measures 180 degrees is referred to as half a circle. A quarter of a circle is called a right angle. Anything under 90 degrees is considered acute, and anything over 90 degrees is called obtuse. A protractor is a tool that is used to measure the degrees of an angle up to 180 degrees, but there are also full protractors that measure the exact angle of every line in a circle.

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What are some interesting facts about the number 20?

The Ancient Mayans used the number "20" as the base for their numeral system, known as the "vigesimal" number system. In mathematics, the sum of the first four even numbers, first four triangular numbers and the first six Fibonacci numbers is 20. Twenty is also a tetrahedral number and the total number of rooted trees with six vertices.

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What is calculus used for?

In professional fields that require physics, calculus is used to help formulate such concepts as motion, heat, electricity, light and astronomy. Albert Einstein even used calculus to develop his theory of relativity. In sciences such as chemistry and biology, calculus is used to determine reaction and radioactive decay rates as well as birth and death rates. Professionals in economics use calculus to predict maximum profits by calculating such things as marginal costs and revenues. It is also used in such industries as engineering, statistics and medicine and to confirm answers found through o..

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What is a distinct number?

The term distinct number may also be used in relation to functions. For example, the equation 4 = x^2 has two distinct values for x, as both -2^2 and 2^2 equal 4. A function that crosses the x-axis twice has two distinct numbers for the x-intercept. A quadratic function with complex numbers has two distinct number solutions, while a quadratic equation without complex numbers has only one distinct number for a solution.

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What is interval notation?

Similarly, in interval notation, brackets are used to denote inclusive inequalities. As with the above example, if x is greater than or equal to three, and less than or equal to five, then in interval notation the set of values for x would be written as [3,5]. This means that x could equal any value from three up to five, including both endpoints. In the earlier example, x could not equal to endpoints of the set based on the inequalities given.

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