Is the 2 square root of 5 rational or irrational why?
It is irrational.
The proof depends on the proof that sqrt(5) is irrational. However, judging by this question, I suggest that you are not yet ready for that proof.
So, assume that sqrt(5) is irrational. Any multiple of an irrrational number by a non-zero rational isirrational.
For suppose 2*sqrt(5) were rational
that is 2*sqrt(5) = p/q for some integers p and q, where q is nonzero.
then dividing both isdes by 2 gives sqrt(5) = p/(2q) where p and 2q are both integers and 2q in non-zero.
But that implies that sqrt(5) is rational!
That is a contradiction so 2*sqrt(5) cannot be rational.
How do you know if two matrices can actually be multiplied?
The number of columns in the first matrix must equal the number of rows in the second.
Is there a formula to work out trigonometry?
No, because trigonometry is a big subject: there are many formulae.
The next lemma is an analog of the previous lemma?
This usually means the upcoming lemma is an adaption of a previous lemma to a mathematical object related to the one in the first lemma.
What is the greatest common factor of 15 130 10000?
Factors of 15 are 1, 3, 5 and 15.
Starting with the greatest number, 15 is not divisible by 130.
Then, 5 is both divisible by 130 and 10000.
So the answer is 5.
How do you prove that the base of a trapezoid is twice the length of a side?
U don't, because it isn't true. Draw a trapezoid. Now lengthen the base and the other parallel edge by any amount u want (the same amount, of course). U now still have a trapezoid, but the base is longer and the sides are the same as they were before.
draw a diagonal through opposite corners of the quadrilateral. This makes two triangles. Prove the triangles are congruent using SSA (side side angle) congruence. Then show that the other two sides of the quadrilater must be congruent to each other, so it is a parallelogram.
According to de Moivre's theorem, that for any complex number x and integer n,[cos(x) + i*sin(x)]^n = [cos(nx) + i*sin(nx)]
where i is the imaginary square root of -1.
What are the two kinds of trigonometry?
There are more than two but the two most common ones are plane trig and spherical trig.
Let p be even and q be odd. Since p is even, p = 2n for some natural number n. Then the product pq = 2nq, an even number.
Use a direct proof;
Suppose Tom minimises the largest difference between two numbers. For this to be true, Tom must pick consecutive numbers. If Tom picks 10 consecutive numbers the maximum difference must be 9. Given that tom picks one more number, there must be two numbers who differ by 10 for all selections.
Why is 14 not a square number?
square no. Means reapeating the particular no. Twice. For ex. 1* 1equal 1, 4 * 4 equal 16, 7 * 7 equal 49. The no.s 1, 4, 49 are sq. Nos . 2 * 3 equals 6 and 5 * 2 equalls 10 are not a square no. Two identical no are multiplied and tie resultent is called a square no. Any two identical nos are multiplied does not give 14. So...
3*3 = 9 and 4*4=16. There are no integers between 3 and 4 so there are no square numbers between 9 and 16.
What do you do if you only have a day to get your math paper done and you need answers?
Come to WikiAnswers.com or Ask.com or Answers.com and ask your Math questions. Just don't tell your parents. Or your teacher. You can't even tell your best friend. Even they might tell on you. Tell nobody.
What equation proves that the decimal of never ending 9s equals 1?
Technically, .3333333333 ever going is 1/3. So, .666666666666 ever going is 2/3.
So, at this point it would be .9999999999999 going on forever would be 3/3 which is equivalent to 1!
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Answer 2.
If x = 0.99999 (recurring)
then
10x = 9.99999 (recurring)
9x = 10x - x
Therefore
9x = 9.99999 (recurring) - 0.99999 (recurring)
9x = 9
x = 1
Therefore 0.99999 (recurring) = 1.
Find their GCF.
What are some examples of false proofs other than 1 equals 2 and all triangles are isosceles?
The statements that you offer as examples of false proofs are actually not false proofs, they are merely false assertions. You have not offered any line of reasoning. You would have to explain why 1 equals two, or all triangles are isosceles, in order to have a false proof. Here is a recent example of a false proof. Last month, in April 2013, the continent of North America experienced colder weather than the average for April. As a result, some people have concluded that global warming is not happening. The belief is that if there is some part of the world that was not warmer than average last month, then the world must not be on a long-term warming trend. This is, of course, not true. The long-term climate trends show global warming, but there are occasional fluctuations.
Prove and disprove the statement that every prime number is an even number?
To disprove this all you need to do if find one example of a prime that is not even. Such an example is called a counterexample.
If a statement that all such and such or every such and such has a certain property, all you have to do to disprove it it to demonstrate the existence of on such and such that lacks the property .
Are binary numbers used mostly in the science of computers?
No. All computers only understand binary, which is 0 as "off" and 1 as "on."