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Proofs

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.

1,294 Questions

What is Stewart's Theorem?

Stewart's theorem concerns the relationship between the lengths of a triangle's sides and a cevian. A cevian is a straight line from a vertex to the opposite side. Suppose you have a triangle whose sides are of length x, y and z. Suppose the cevian, of length a, divides the side of length x into segments of lengths p and q (with p nearer to y and q nearer to z.Then, according to Stewart's theorem,y^2*q + z^2*r = x*(a^2 + pq)

How do you know downloding percentage'?

I do not know the downloding percentage or even the downloading percentage.

What are the uses of trigonometry in schools?

There are few uses for trigonometry is schools just as there are few uses for languages or history or geography or, in fact, most subjects. There are three main objectives in teaching most subjects at school:

  • one is to give you a taster of that subject. If you had never come across it you would never know whether or not you wanted to study it.
  • a second is to provide you with enough of the basics so that, if you do choose to study a related subject at a later stage, you would not have to start from scratch. For example, if they did not teach you any mathematics, you could never be a scientist or, alternatively, your first year of studying proper science, you would have to learn basic addition!
  • the third aim, is to provide you with enough basic skills to be able to perform effectively as a productive citizen in society. Despite being a mathematician, and someone who loved trig at school, for most people, this argument does not work.

What should be the next in the rational nos?

No idea what you're on about. If you are asking in what order do the sets of numbers apear in terms of proving there existence, I believe they are in the following order:


N->Z->Q->R->C


Where: N is the set of natural numbers, i.e. whole numbers ranging from 1 to infinity.

Z is the set or whole numbers including zero ranging from -infinity to +infinity

Q is the set of rational numbers, i.e. the set of numbers that can be expressed in the form a/b where a and b are in Z with b not equal to 0.

R is the set or real numbers, the collection of every rational and non rational number.

C is the set of complex numbers, i.e. all numbers that can be expressed as a+biwhere a and b are in R and i is the squareroot of -1.

The odds of getting pregneat with a tuble?

There are many people called Tuble and the odds of getting pregnant with one depends on your relationship.

How do you work out 18 people as a percentage?

To have a meaningful answer, you need to have 18 people compared to another number of people. Otherwise, 18 people is simply 1800% people.

How to Prove that the equation tan z equals z has only real roots?

Well, honey, to prove that the equation tan z = z has only real roots, you gotta show that the function f(z) = tan z - z has no zeros with nonzero imaginary parts. One way to do that is by analyzing the behavior of f(z) on the real line and using the Intermediate Value Theorem. So, put on your thinking cap and get ready to dive into some complex analysis, darling.

Which larger shape would be made if the two sectins are fitted togethr?

Well, honey, if you slap those two sections together, you'd end up with one big ol' shape, now wouldn't you? It's like putting two puzzle pieces together to make a bigger picture. So, to answer your question, the larger shape would be a combination of the two sections fitting snugly side by side.

What are the conditions of lami's theorem?

Lami's theorem states that for a system of coplanar, concurrent, and non-parallel forces in equilibrium, the magnitudes of the forces are directly proportional to the sines of the angles they make with a reference axis. This theorem is applicable when three forces act on a point and are in equilibrium. The forces must be concurrent, meaning they all meet at a single point, and coplanar, meaning they all lie in the same plane. Additionally, the forces must not be parallel to each other.

How many hundred are there in 47621?

There are 47621/100 = 476.21 of them.

Which number is irrational -5.72?

The number -5.72 is a rational number. An irrational number is a number that cannot be expressed as a ratio of two integers, meaning it cannot be written as a simple fraction. Irrational numbers have non-repeating, non-terminating decimal expansions. Examples of irrational numbers include the square root of 2 (√2) and π (pi).

What is a cube like?

A cube is a three-dimensional solid object bounded by six square faces, facets or sides, with three meeting at each vertex. The cube can also be called a regular hexahedron and is one of the five Platonic solids. It is a special kind of square prism, of rectangular parallelepiped and of 3-sided trapezohedron. The cube is dual to the octahedron. It has cubical symmetry (also called octahedral symmetry). A cube is the three-dimensional case of the more general concept of a hypercube, which exists in any dimension.

What are the congruence theorems or postulates?

They are theorems that specify the conditions that must be met for two triangles to be congruent.