4.14 TRIANGLES Triangles are three-sided shapes that lie in one plane. Triangles are a type of polygons. The sum of all the angles in any triangle is 180º. Triangles can be classified according to the size of its angles. Some examples are : Acute Triangles An acute triangle is a triangle whose angles are all acute (i.e. less than 90°). In the acute triangle shown below‚ a‚ b and c are all acute angles. Sample Problem 1: A triangle has angles 46º‚ 63º and 71º. What type of triangle is this? Answer:
Premium Triangle Pythagorean theorem Triangles
The AKS primality test (also known as Agrawal–Kayal–Saxena primality test and cyclotomic AKS test) is a deterministic primality-proving algorithm created and published by Manindra Agrawal‚ Neeraj Kayal‚ and Nitin Saxena‚ computer scientists at the Indian Institute of Technology Kanpur‚ on August 6‚ 2002‚ in a paper titled "PRIMES is in P".[1] The authors received many accolades‚ including the 2006 Gödel Prize and the 2006 Fulkerson Prize‚ for this work. The algorithm determines whether a number
Premium Prime number
Crash’s main white characters are depicted in comfortable positions‚ both socially and economically. Jean and Rick Cabot‚ played by Sandra Bullock and Brendan Fraser respectively‚ are well-off L.A. socialites‚ as Rick is the District Attorney of Los Angeles. Tony Danza makes a cameo as a television executive producer who tells Black producer Cameron Thayer (Terence Howard)‚ one of the few financially secure (but not exactly socially secure) minority roles in the film‚ to make one of his actors speak
Premium American film actors Sandra Bullock American television actors
Pythagorean Theorem: Some False Proofs Even smart people make mistakes. Some mistakes are getting published and thus live for posterity to learn from. I ’ll list below some fallacious proofs of the Pythagorean theorem that I came across. Some times the errors are subtle and involve circular reasoning or fact misinterpretation. On occasion‚ a glaring error is committed in logic and leaves one wondering how it could have avoided being noticed by the authors and editors. Proof 1 One such error appears
Premium Pythagorean theorem Triangle Mathematics
Gauss Markov Theorem In the mode [pic]is such that the following two conditions on the random vector [pic]are met: 1. [pic] 2. [pic] the best (minimum variance) linear (linear functions of the [pic]) unbiased estimator of [pic]is given by least squares estimator; that is‚ [pic]is the best linear unbiased estimator (BLUE) of [pic]. Proof: Let [pic]be any [pic]constant matrix and let [pic]; [pic] is a general linear function of [pic]‚ which we shall take as an estimator of [pic]. We must specify
Premium Function Variance Estimator
Chebyshev’s Theorem and The Empirical Rule Suppose we ask 1000 people what their age is. If this is a representative sample then there will be very few people of 1-2 years old just as there will not be many 95 year olds. Most will have an age somewhere in their 30’s or 40’s. A list of the number of people of a certain age may look like this: |Age |Number of people | |0 |1 | |1 |2 | |2 |3
Premium Standard deviation Normal distribution Arithmetic mean
Drew Thornton From the opening scene until the end of the movie the amount of racial notions that were made are mind blowing. The start of the movie a Mexican woman is rear ended by an Asian lady. Which they were both conversing with the officer remarks like “Mexicans can’t drive” and “Asians cant even see over the wheel” where made. The once that could be debated is the fact that the white woman got cold when she saw the two black guys. This could be debated because she did that as soon as she
Free Race Racism Black people
Greek mathematician and philosopher. Pythagoras was responsible for important developments in the history of mathematics‚ astronomy‚ and the theory of music. The thing that Pythagoras is probably the most famous for is the Pythagorean Theorem. The Pythagorean Theorem is used in the field of mathematics and it states the following: the square of the hypotenuse of a right triangle is equal to the sum of the squares of the two other sides. This means that if one makes a square (with all sides equal in
Premium
Latria Stridiron Human Behavior and The Social Environment SOWK 331 October 16‚ 2013 Cameron and Christine Using the Moral Development theory describes Cameron actions as being Conventional‚ which Kohlberg states at the age of 10-13 you respect higher authorities. When the police stopped Cameron and his wife he was showing respect to the officers because he learned at an early age to respect higher authority. Christian on the other hand who was drunk was acting post-conventional
Premium Police Human behavior Human sexual behavior
Chapter 2 Chapter 2: The Wall Street Crash and the causes of the Great Depression in the USA The Wall Street Crash and the causes of the Great Depression in the USA This chapter has three aims: to give an account of the Wall Street Crash; to examine the causes of the Great Depression; and to consider the effects of the Crash. It considers the events leading to the Crash and examines how healthy the US economy actually was before it by looking at some of the underlying causes of the Great Depression
Premium Wall Street Crash of 1929 Stock market Great Depression