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Proofs

Parent Category: Math and Arithmetic
Proof means sufficient evidence to establish the truth of something. It is obtained from deductive reasoning, rather than from empirical arguments. Proof must show that a statement is true in all cases, without a single exception.
The answer to that question was first understood and documented and proved by a Britney Gallivan. She first had to make a definition of what a fold was (bending paper over is not true folding) Then went on to find out why paper had a limit. The answer is each time paper is folded there is less...
pi has infinite decimal places. It continues on forever. ;-)
there will be three vertex AB, BC, AC
There are several hundred different proofs.
A triangle with a curved bottom.
You can use a variety of postulates or theorems, among others: SSS (Side-Side-Side) ASA (Angle-Side-Angle - any two corresponding sides* and acorresponding angle) SAS (Side-Angle-Side - the angle MUST be between the two sides,except:) RHS (Right angle-Hypotenuse-Side - this is only ASS which works) ...
Tourism in Australia is a good thing because it generates a lot ofincome for Australian towns. The bad thing about it is that manypeople end up getting injured from snakes, scorpions, and otherwildlife.
Yes, they can. This is done all the time in mathematics, logic and other areas. However, you must ensure that you either record the theorems used, or write them out in whole and attach them to the proof of the new theorem.
False. Definitions do not need to be proven.
Early mathematicians just chose 360 to be the number of degrees in a circle. Since a straight line corresponds to an angle where you've only rotated halfway around a circle, they said that a line had a 180 degree angle.
A numerical equation is an equation expressed purely in numbers and unknown variables. For example x 2 +2x+3=0 and x+y=4 are both numerical equations where x and y are variables, but an equation such as 2x 2 +ax-5=0 is not a numerical equation because one of the constants is not known and is...
No. No matter how large of an example you choose, someone always can find a larger number (of any kind), because the upper range of number is infinite. If you take all the known prime numbers and multiply them together, then add 1 to the result, you will have a number that is not divisible by any...
The obvious answer is 5,000,000 but... If the 1000000 is in base 2 (binary) and the five is in base 10 (decimal) then 1000000 equals 64 in base 10; 64x5 = 320 which is 101000000 in base 2.
Zillion is not a number, along with Ba-zillion and Ga-zillion (which would be cool though) Zillion is really used as "slang" indicating an infinite or very large amount. A extremely large yet unspecified number mostly used in a hypothetical sense. So to sum it up NO, ZILLION is not a...
You really can't "prove" the formula. You use it. You first squarethe base ' b '. Then, you multiply that number by the height' h' . Then, you divide the product of the base squared andheight by 3. Boom! You get your answer. In my school, we get aformula sheet with all the formulas we will need to...
can be written, where each Q i is a sum of squares of linear combinations of the U s. Further suppose that. where r i is the rank of Q i . Cochran's theorem states that the Q i are independent, and each Q i has a chi-squared distribution with r i degrees of freedom. [...
a ≠ 0, LCD = a 3 . 3/a + 2/a 2 - 1/a 3 . = (3/a)(a 2 /a 2 ) + (2/a 2 )(a/a) - 1/a 3 . = 3a 2 /a 3 + 2a/a 3 - 1/a 3 . = (3a 2 + 2a -1)/a 3 .
the first one is: (0!+0!+0!)!=6 Because 0!=1 0!+0!+0!=3 and 3!=6 Just use factorial (1+1+1)! = 6 3 Factorial = 6 2+2+2 = 6 So Simple (3*3)-3 = 6 Also Simple Sqrt(4) + Sqrt(4)+ Sqrt(4) = 6 Sqrt(4) = 2 So 2+2+2 =6 5+(5/5) = 6 So Simple 6+6-6 = 6 Its quite simple 7-(7/7) = 6 Cuberoot(8) +...
Postulates and axioms are accepted without proof in a logical system. Theorems and corollaries require proof in a logical system.
theorem always needs proof
Spherical balls have no corners. The American football has 2 corners. A ball (of any shape) may be sewn together of polygons each of which has several corners (vertexes).
That depends on what your "real life" consists of. If you sellmerchandise at a supermarket, or do carpentry work, you won't needsuch advanced mathematics. If you work in the engineering fields,you might need it at some moment like with electromagnetic fields,gravitational fields and fluid flow. If...
Consult any textbook on Euclidean geometry.
Answer . Lagrange theorem states that the order of any subgroup of a group G must divide order of the group G. If order p of the group G is prime the only divisors are 1 and p, therefore the only subgroups of G are {e} and G itself. Take any a not equal e. Then the set of all integer powers of a...
In chemistry, 46 is the atomic number of Palladium. In human biology, there are 46 human chromosomes. There are22 pairs of autosomes and one pair of sex chromosomes. In geometry, the name of a 46 sided shape is called atetracontakaihexagon.
The sign of the larger number will be the sign of the answer, if you're adding them together. If they're the same size, and of different signs, the answer will be zero.
if divides both and , then it will also divide therefore will divide thus The last part comes from the fact that: if gcd(x,y)=g, then . As proof: Since g|x and g|y, let x=kg, and y=jg, then we have so g|(mx+ny).
Statement Reason 1. triangle ABC is equilateral..............................................given 2. AC is congruent to BC; AB is congruent to AC........................................definition of equilateral 3. angle A is congruent to angle B; and B is congruent to angle C..............
7 Marsi Festën e mësuesit Ne do ta festojmë Lulet më të bukura Ne do ti dhurojmë. Vijmë tek ti mësues Buzëqeshjen ta dhurojmë Kënga krahët reh si flutur Midis jush jam e lumtur.
Yes one and one third times one and one half
YES : Equation (1) 5x - y = 3 x + 9y = 19 : Multiply by 5 →Equation (2) 5x + 45y = 95 Subtract Equation (1) from Equation (2) to eliminate 'x' terms. This gives : 45y -(-y) = 95 - 3 : 46y = 92 : y = 2 Substituting for y in Equation(1) gives : 5x - 2 = 3 : 5x = 3 + 2 = 5 : x = 1 Substituting...
Excellent question. The answer is actually yes! According to the lens makers formula, it will change based on the refractive index of the material of the concave mirror wrt the medium. Google Lens makers formula for better understanding! NO! the focal length of the mirror will not change...
a googolplex is 1 followed by a google zeros a google is 1 followed by a hundred zeros the corporation google headquarters are known as the Googleplex
If the signal is bandwidth to the fm Hz means signal which has no frequency higher than fm can be recovered completely from set of sample taken at the rate
Putting a question mark at the end of a few words does not make ita sensible question. Please try again.
Make sure you follow all of the rules of the field of mathematics for which you are making the model.
There are unlimited digits in pi and they never repeat.. The first few are 3.14159.......
According to Wikipedia, "This was proved in 1768 by Johann Heinrich Lambert.".
The answer will depend on the two triangles in question. Since that information is not provided it is not possible to give a sensible answer.
The value of pi has never been proven becauase it is an irrational number which can not be expressed as a fraction
2 43112609 -1. It has almost 13 million digits.
I will give a link that explains and proves the theorem.
All opposite sides of a die are meant to add up to 7. So: 1 and 6 2 and 5 3 and 4 This is also part of why the most common dice rolls (involving twodice, in a game of monopoly for example) is 7 -- because everynumber can match with another number to give a sum of 7.
25 weeks and 5 days.
The essence of the proof is simply to complete the square for a generalised quadratic equation. Like this: ax 2 + bx + c = 0 Take 'a' outside: a[x 2 + bx/a + c/a] = 0 Divide through by 'a': x 2 + bx/a + c/a = 0 Complete the square: (x + b/2a) 2 - b 2 /4a 2 + c/a = 0 Rearrange to find x: (x + b...
A theorem is a proved rule but an axiom cannot be proven but is stated to be true.
Given Positive Integers a and b there exists unique integers q and r satisfying a=bq+r; 0 lesser than or equal to r
Any negative integer can be factored to -1 times its positive value. Because negative one times itself is positive one, when multiplied by each other they cancel out. So if you're multiplying a negative integer A by a negative integer B. Replace A and B with -1*|A| and -1*|B| (You can do this...
If ABCD is a parallelogram, what is the value of x ? 35
The acronym "HUCA" refers to the "House Un-American Activities Committee" (also known as the House Committee on Un-American Activities), a committe of the U.S. House of Representatives.. For Wikipedia's article on this subject, see:. http://en.wikipedia.org/wiki/House_Un-American_Activities...
1 inch is 2.54 centimeters. So 14 centimeters is 5.51 inches.
More information is needed. Your coin is almost certainly British, but you also need to supply its denomination and condition. Please post a new question so that it will be possible to ID your coin. The motto is several words, not one, and variations of it are found on all British coins. It's...
Method of solving: Start off with the Green cassettes. Timewise, how many minutes will 16 of them be? 16x55=880 minutes. How many minutes of music do you have? Only 830. The difference is 50. What are the difference between Green and Blue cassettes? 55-45=10 How many times is 10 in 50? 50/10=5 ...
Show that sec'x = d / dx (sec x) = sec x tan x. First, take note that sec x = 1/cos x; d sin x = cos x dx; d cos x = -sin x dx; and d log u = du/u. From the last, we have du = u d log u. Then, letting u = sec x, we have, d sec x = sec x d log sec x; and d log sec x = d log ( 1...
Zillion is a made-up word. There is no such number.
If we assume that the sqare root of 5 is a rational number, then we can write it as a/b in its simplest form, where a and b have no common factors. Therefore 5 = a 2 /b 2 Therefore 5b 2 = a 2 Therefore a 2 is divisible by 5, because b 2 is an integer Therefore a is divisible by 5, because 5 is...
That depends what you are given. If you have an actual cone, you can measure the diameter of course.
convention, most people would be more comfortable with cm or mm so feel free to use them
The negation of a statement is the opposite proposition to the original statement. Specifically, exactly one of the negation and the original proposition must be true, not both or neither. In mathematical analysis, "for all" quantifiers must be replaced with "existential" quantifiers and visa versa,...
7 3x + 4 = 19 3x = 15 x = 5
Conditional is acquired during life. It is highly individual and specially learned. It involves Cortical or higher subcortical centers. It makes reflexes more precise and individual. It is corresponding to the conditions we live in. An unconditional reflex is inborn, the mechanism is already...
No. The sq root of 84 is 9.16555515139. 81 is a perfect square, where the sq root is 9.
Assuming you work with two variables (like x and y) only: if the graph is a vertical line, e.g. x = 5, then it is not a function. Otherwise it is.
The volume of a cone is 1/3(h)(pi)(r 2 ), where h is the height of the cone, pi is 3.1415 and r is the radius of the circle that forms the bottom. The volume of sphere is 4/3(pi)(r 2 ) where pi is 3.1415 and r is the radius of the sphere. The (r 2 ) means radius squared. If you put in the...
4/ / Pi * Radius cubed /3
Eighteen liters of water, or an eighteen kilogram dumbbell.