Proofs

Three lines between two equations means that there is an identity present. This means that whatever numbers you put into the equation it will always equal the equation on the other side.

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.

Let the triangle be ABC and its medians by AX and BY and CZ.

Therefore, since AC=AB, and OP=BD.

Therefore,

By Triangle Equiangular Property,

Triangle ABC simliar to Triangle XYZ

Therefore,

Three times the sum of the squares of sides of triangle equal to 4 times of its median.:)

Hope it helped.

No, the diagonals of a parallelogram are not normally congruent unless the parallelogram is a rectangle.

9! = 9×8×7×6×5×4×3×2

Separate each of the above factors into prime and non-prime:

Prime

2

3

5

7

Non-prime

4

6

8

9

Perform a prime factorization of each of the non-prime factors:

4 = 22

6 = 3×2

8 = 23

9 = 32

Rewrite the number using these prime factorizations:

9! = 32 × 23 × 7 × (3×2) × 5 × 22 × 3 × 2

Group:

9! = 7 × 5 × 34 × 27

For any number with factors (greater than 1) of aA × bB × cC × ... × nN , it can be shown that the total number of divisors is (A+1)×(B+1)×(C+1)× ... × (N+1). This is because there are N+1 possible ways to divide out the factor n to create a unique divisor (n0 is also a factor). Using basic combinatorics, the total possible number of divisors is simply the products of all these possibilities for each prime factor.

Therefore, the number of divisors in 9! can be computed as follows:

(1+1)(1+1)(4+1)(7+1) = 160

Thus, 9 factorial has 160 divisors.

Many countries or regions (eg USA and Eurozone) use cents as the minor denomination for their currency. Similarly, there are very many countries that use fils. Without any information about the countries in question, it is impossible to answer the question.

Perfect squares have an odd number of factors.

If f is a factor of N, then so is N/f. (For example, 3 is a factor of 30, and so is 10). Thus, it seems factors come in pairs, and there should always be an even number of them. But if f = N/f, then these two factors are the same, resulting in an odd number of factors. For example, 3 is a factor of 9, and it's "mate" is also 3.

So for the numbers with an odd number of factors, there is some f where f=N/f. Multiplying both sides by f, we have f^2 = N. So this happens when N is a perfect square.

Easy.

The mean deviation about the mean, for any distribution, MUST be 0.

121.

The longest diagonal in a cube is equal to the length of the edge, multiplied by the square root of 3.

think of "reverse operations"...1234 times 6 would equal a # that is divisible by 1234 and 6, due to that multiplication is the reverse operation of division. or 7404

There cannot be a proof since the statement need not be true.

The acceleration of the bob is directly proportional to the displacement and towards the vertical position.If x represents the angular displacement towards the right, from the vertical. and if x', x'' represent the derivatives, then

x'' = -kx where k > 0.

This is the characteristic differential equation for SHM.

180 degrees

Determine the area of one face (2m x 2m = 42m). Multiply by the number of faces on a cube - 6.

So, 6 x 42m = 242m total surface area.

The statement formed when you negate the hypothesis and conclusion of a conditional statement.

For Example: If you had enough sleep, then you did well on the test.

The inverse will be: If you didn't have enough sleep, then you didn't do well on the test.

It would be the sum of the areas of each surface separately.

An argument that sometimes fools human reasoning, but is not logically valid.

2.5 km is not more than 2700 meters, it is less. 2.5 km is 2500 meters.

Ace gil norst...that is the cypher (cipher) cracked from the word croatoan, which was engraved in a tree when John White came back from England to his colony. The key word for this cracked version of the cypher is "England".

I suggest using the key word, "Help" or "Danger" for the next time you crack this word everyone wants to know of. Other key words could be names of the people there, or "John White" itself could be the key.

I do not know about this question. It is time for another to find out.