straight line

In the previous section we have discussed about length of an arc calculator and In today's session we are going to discuss about Straight line, It was developed by mathematicians to represent objects which are straight and have insignificant depth and width. They have one dimension that is only length with no depth and width .The straight line definition says it is nothing only flow of points and it is equally extended to the two points
A line was described by Euclid as breathless length and with some provable properties he constructed geometry which is called as Euclidean Geometry in today’s Mathematics .A line is called as shortest path between the points but some mathematicians says that a line is a 2 dimensional Vector space
Equation of a Straight line or slope intercepts form
Y=mx +b
Where
Y=how far
X =how far along
M=slope
B= Y intercept
The equation has variable expression without any exponents
Find the equation of straight line which has slope m = 3
and passes through point (2, –6).
Solu: So in the above problem value of the slope is m=3.And the value of x = 2, and value of y =-6.We don’t have the value of b in the equation
Here we will put the values in the slope equation to get the value of b
 y=mx + b
(-6)=3*(2) + b
-6 = 6+b
-12=b
So equation of the line will be y= 3x-12

Find the equation of straight line which has slope m = 6
and passes through point (-1, –3).
Solution: So in the above problem value of the slope is m=6.And the value of x = -1, and value of y =-3.We don’t have the value of b in the equation
Here we will put the values in the slope equation to get the value of b
 y=mx + b
(-3)=6*(-1) + b
-3 = -6+b
3=b
So equation of the line will be y= 6x+3
For square root calculator and syllabus of CBSE books for class 9 visit Online portals.

length of an arc calculator

Arc of the circle is from the circumference of the circle, it is a portion from that even we can consider circumference as an arc

Length of an arc is calculated with the help of length of an arc calculator or Arc Length Formula. It is defined as arc length which is formed in a circle with a radius r and an angle θ

Arc length can be either measured in the degrees or unit length. It is dependent on its centre angle
Length of an arc calculator
S = 2πr θ/360⁰

Where S is length of the arc
 r is radius of the circle
θ is the angle in the radians
Calculator is derived from the help of the centre angle and the radius of the circle. Length of the arc is represented with symbol s .We have to use the angle from the total angle of the circle from which we will derive the value θ/360⁰   and then use the circumference of the circle which is 2πr.It is a calculator which makes the calculation simple and fun to solve

Understand the calculator with examples

Example 1
Find the arc length of the arc, if θ = 30⁰ and r = 10
Solution
 Formula for arc length is,
Length of arc = 2πr θ/360⁰
Put the values of angle and the radius in the formula
= 2 × 22/7 × 10 × 30⁰/360⁰
= 440/7 * 1/12
=5.2
Example 2
Find the arc length of the arc, if θ = 20⁰ and r = 5cm
Solution
 Formula for arc length is,
Length of arc = 2πr θ/360⁰
Put the values of angle and the radius in the formula
= 2 × 22/7 × 5 × 20⁰/360⁰
= 0.004

In order to get proper Algebra answers visit online educational portals. For Logic Tamilnadu Board Sample paper you can visit any of the online education portal and In the next session we will discuss about Statistical methods to make inferences.

free online math tutoring

While solving the problems of mathematics, Free online math tutoring,   is available at different sites, which will give time to time guidance to the learners. It is helpful to learn the new concepts and to understand the difficult topics with the ease. It gives you guidance to understand and solve the problems, with the easy methods. It also provides you the tips to understand the different problems of mathematics with step to step guidance in order to understand each and every step. These online tutors can be used even on weekends and at odd hours, whenever you feel to use it. Thus we say that solving the problems of mathematics has become a comfort and you need not to search a tutor visiting your house or to travel long distances to your tutors place to get your problems solved time to time.
 Thus we must get our self registered for the online tutor, which is available either at free or at a very nominal cost which is at your approach.  The charges for the online tutor can be based on  per hour/  per week / or sometimes based on the contract per topics in some cases.
We must get our self registered for on line tutoring in order to make our study of mathematics comfortable, interesting and enjoyable. It will create interest in the subject and remove the terror of studying the subject mathematics, which exist in most of the children. Now a day we have different tools available for learning mathematics by relating the learning method with the real life applications. So the concepts are clearer and the child starts understanding the topics easily.

You can also learn about Area Of A Rectangle Formula with the online math tutor help. Also you can collect details about Andhra Pradesh Board Of Intermediate Education online and In the next session we will discuss about Predictions from data.

Statistical methods to make inferences

Hello students,Previously we have discussed about how to do trigonometry step by step and today we are going to discuss the statistical methods to make inferences which comes under 12 gujarat board syllabus. As we know that statistics is concept by which we organize our data and display that data and this process includes complete process of the data analysis and this process starts from inspecting data to modeling data, it also covers cleaning data as well as transforming data.

Statistical methods to make inferences is a process, that uses the organized information so that it can obtain and make a final decision or conclusion and all the process is done when our system get affected by random variation and due to this some type of datasets is arises and conclusion made from obtained datasets. Statistical inferences are also known as the statistical induction and inferential statistics. Sometimes the result or final outcome of Statistical inferences can be a answer for the next questions.

Methods of statistics are also the basis of statistics type mathematics. They provide the primary research papers, various types of proofs and theorems so that we can complete our research. Descriptive and probability distribution are also assumes the methods of statistics. Lets take an example that will show the use of statistical inferences.

Example: - A card is taken from a shuffled pack of cards and the total trails are 300.

Suit Spades Clubs Hearts Diamond

No. of times drawn 70 50 100 80

Solution: - Find the probability of To got Hearts cards and Except Diamond card

-Total number of events = 300

Number of trial of hearts cards = 100

P (drawn card is heart)

100/300 = 0.33

-Total number of events except diamond card is 70 + 50 + 100 = 220

P(the card is not diamond)

220/300 = 0.73

In the next session we will discuss about free online math tutoring and You can visit our website for getting information about physics homework help.

Predictions from data

Previously we have discussed about integration worksheets and In today's session we are going to discuss about Predictions from data which comes under cbse 10th syllabus, Data prediction is an important concept based on some previous data that helps in decision making, So for data is collected and represented in the way that anyone can easily understand that data for predicting the future decision. It is the only way by which any one can easily and efficiently makes the effective plans or strategies that are totally based on the previously stored data in the specified format. Before making any predictions from data it should be noted that how data stored and collected as well as from where data is collected for future prediction.
Data should collect correctly as well as from the true resources within the specified time means at the time data is needed by someone it can be easily retrieved by them and after collection of the data it should be organized properly. For representing the series as like time related to temperature or rainfall or population growth or birth and death rates line graphs are drawn that also helps in data prediction. Polygraph is also a line graph in that two or more than two variables are shown on a same diagram by different line. These diagrams are also used for show the birth and death rates and also used for showing the growth rate of different crops.
After all the collection and organization of the data there is next important concept is representing the data. It is the only concept through which the user can understand the previously recorded data and makes some decision on that .Collection and representation of data in probability are also helpful to make the future strategies as well as helps in comparison of the data among several years for the same period of time.
There are several methods and various type of data representation like image processing , Global positioning system .The main motive behind display  of the data is to understand the available data and deriving the meaning and also extract the useful in conclusion .So Predicted Probabilities are helpful in growth of the organization.
In the next session we will discuss about Statistical methods to make inferences
and You can visit our website for getting free algebra help.