Friday, July 30, 2010

Explain how many sides does a hexagon have

Introduction:
        Hexagon is one of the polygon type. In polygon different shapes contains different sides. Each of the polygon shape is named as different based on the shape and size. One of the six sided shape is the hexagon. Hence, the polygon contains the 6 sided and 6 vertices. Schlitz symbol present in the regular hexagon. The interior angle of any degree is 720 degree. Let we see how many sides does a hexagon have.

Properties Six Sided Shape Hexagon:

From the above definition we can define many properties.
Property 1: Amount of triangles used in hexagon
Property 2: Amount of diagonal matrix used in the hexagon
Property 3: Total number of the internal angles used in the hexagon
Regular Hexagon: A regular hexagon having all sides of identical length, and all inside angle is 1200. There are 6 rotating symmetries and 6 reflection symmetries are present in the regular hexagon, that creates the dihedral group D6.
Cyclic Hexagon: A cyclic hexagon is one of the  hexagon decorated in a circle. If the successive sides of the cyclic hexagon are g, h, i, k, l, m then the three main diagonals meets in one peak if and only if gil =hkm.


Hope you liked the above explanation. Please leave your comments, if you have any doubts.

Friday, July 23, 2010

Introduction on Basic Geometry

Introduction:

         Elementary Geometry consists of some basic concepts like points, lines, planes etc., which are explained in detail below. Geometry is an interesting area of Math that requires a proper understanding of the basics. The fundamentals of similar triangles, rectangles and rectilinear figures need to be properly taught in order to understand higher concepts includes in geometry basics.

Concepts of Geometry Basics:

Elementary Geometry is mainly taught at primary and secondary level and it covers some basic concepts of geometry.

Point:

It is an exact location. It is a fine dot which has neither length nor breadth nor thickness but has position i.e., it has no magnitude. It is denoted by capital letters A, B, C, O etc.

Line segment:

The straight path joining two points A and B is called a line segment.

Ray:

A line segment which can be extended in only one direction is called a Ray.

Line:

When a line segment is extended indefinitely in both directions it forms Line.


Monday, July 19, 2010

Explain Factoring Polynomials Calculator

Introduction: 
               Math calculators are web-based tool designed to solve different kinds of math problems. The calculators are very useful when trying to solve many exercise problems. Factoring polynomial calculator is nothing but the calculator. Which using to solve the basic algebra problems and give the polynomials to the given problem. This calculator is not only giving answers and also it simplifying in to smaller forms.
               Factoring polynomials calculators help to understand the factorization of polynomials. In calculator we can enter an expression. It will simplify the expression by expanding the multiplication and combining like terms. Expression can be factored by dividing a GCF and identifying a difference between two squares or factor able trinomials.


Algebra Factoring Polynomials Calculator:

Steps to solve the algebra factoring polynomials calculator are as folows:
  • Arrange in the order of powers.
  • Given expression can be written in standard form ax² + bx + c = 0.
  • Find the greatest common factor
  • Factor any complex variables.
  • Solve the terms

Tuesday, July 13, 2010

Geometry Compass Constructions

Introduction Geometry Compass Constructions:
               Geometric Compass is used to draw a circle with a given measurement of its radius and a line segment. We can also construct angles of given measures with the compass. There is a provision in the compass to insert a pencil. By using geometric compass we can construct various shapes and figures. In our day today life geometric constructions  plays an important role from that learn that the concept of geometry have begun from ancient times.The basic constructions using a compass are,
  • Constructions for a line perpendicular to a given line.
  • Constructions for  perpendicular bisector of a given line.
  • Construct Intersection points between circle and line or two circles
  • Construction of a circle.

Constructions for a Line Perpendicular to a Given Line at a Given Point on it by Compass in Geometry:
Constructions:
Step 1:Draw a straight line l. Place the metal point of the compass on P. With the pencil Point make two small arcs of equal radius on l to cut the line at A and B.
line

Monday, July 12, 2010

What is Finite Series Sum

Introduction of Finite series sum:
             The finite series sum is nothing but the set of ordered numbers owned by some of the patterns to calculate the next term. The finite series sum is to have the Respective continuous integer with an increment. The summing of the integers is known as series of the integers. The summing can be denoted as the symbol `sum`. The finite series sum is explained as the summing of the finite integers.
finite series sum

Finite Series Sum:

               The series can be classified into two subdivisions. They are arithmetic series and geometric series. The arithmetic series is the successive terms altered by the identical amount. For an example {2, 4, 6, 8, 10} is the example of arithmetic progression in which each terms are made to increment by 2 to the previous terms. The geometric series is nothing but the quotients of the terms are same. For example {4, 16, 64, 256} is the example of the geometric series in which the each values are obtained by the multiples of the four. Hence the summing of the each terms are known as the finite series sum.
                finite series sum


Wednesday, July 7, 2010

Types of Hypothesis

Introduction:

               In any test of hypothesis we begin with some assumptions about the population from which the sample is drawn.  This assumption may be about the form of the population or about the parameters of the population.  Such an assumption is logically drawn. This assumption is called Hypothesis.

            A statistical Hypothesis is defined as a tentative conclusion logically drawn connecting the parameter or the form of the distribution.
Eg:-  The sample is drawn from a normal population with mean=30 and standard deviation=5 
There are different types of Hypothesis. They are :-

Types of Hypothesis:

1)      Simple and Composite Hypothesis
A hypothesis may be simple or composite.  If a hypothesis is concerning the population completely such as functional form and the parameter, it is called simple hypothesis.  If a hypothesis is not simple then it is Composite.
Example:-
The hypothesis “Population is normal with mean 15 and standard deviation 5” is a simple hypothesis where as the hypothesis “population is normal with mean=15” is a composite hypothesis. 
2)      Parametric and Non Parametric
A hypothesis, which only specifies the parameters of the probability density function, is called parametric hypothesis. If a hypothesis specifies only the form of the density function in the population, it is called a non- parametric hypothesis.
Example:-
The hypothesis “ Mean of the population is 15” is parametric where as the hypothesis “ population is normal” is non- parametric.
3)      Null and Alternative Hypothesis
A null hypothesis can be defined as a statistical hypothesis, which is stated for acceptance.  It is the original hypothesis. Any other hypothesis other than null hypothesis is called Alternative hypothesis..  When null hypothesis is rejected we accept the alternative hypothesis. Null hypothesis is denoted by H0 and alternative hypothesis is denoted by H1.

Tuesday, July 6, 2010

Polar Coordinates

Introduction:
              Polar coordinates are of the form (r,q) where r is the distance from the origin and q is the angle made by that point with the x-axis. Coordinate systems are really nothing new than a manner to define a point in space. The Cartesian coordinate system at point is given the coordinate (x,y) and we use this to define the point by starting at the origin and then moving x units horizontally follow by units vertically.
Figure below shows how a polar coordinate point is plotted.
Polar Cordinates

              We alter the  polar coordinates to rectangular coordinates and from rectangular coordinates to polar coordinates.The some basic functions in polar coordinates using a graphing calculator. After running through these equipment, the student must be able
  • to convert from rectangular coordinate to polar coordinates
  • to convert from polar coordinate to rectangular coordinates
  • to identify some standard polar graphs
  • to plot point in polar coordinates
  • to table polar equations using a graphing calculator.
Hope you liked the above explanation. Please leave your comments, if you have any doubts.