## 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 â  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..............
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Yes one and one third times one and one half
YES : Equation (1) 5x - y = 3 x + 9y = 19 : Multiply by 5 â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...