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Matter of Equations Classical Line Matter Class 8

Equation of Circle Tie - In everyday life of course you often find objects that form a circle and the circle is exactly tangent to other objects such as pulleys with a rope timba or railway wheel that tangent to the rail. In this post The Basic Mathematical Formula will invite you to study the tangent of the circle. The Circles tangent line is the lines that intersect a circle at a certain point. The tangent line of the circle must be perpendicular to the radius of the circle through the tangent point. Try looking at the image below: g only pertains to the circle at point A and the angle formed between OA and line g is 90 0 or OA Perpendicular to the line g . At that time the line g becomes a tangent to the circle at point A. From the above description, it can be concluded that: a. The tangent of a circle is a line that intersects a circle at only one point. b. The tangent line of the circle is perpendicular to the fingers drawn through its tangent point....

How to Paint a Line Tangent to the Circle

How to Paint a Tangent to the Circle - In the previous article The Basic Mathematical Formula explains to you the matter Equation of the Tie on the Circle . For the discussion this time will be studied is about how the steps you should do to paint the circle tangent. To paint it, you will need a run and a ruler. But first you have to look at the following description: Circle Tie Circle Through a Point on the Circle Now, try to observe and note the following picture : In the figure, point O is the center of the circle and T is the point of the circle To paint the tangent of a circle passing through the point T, do the following steps: First: Hubungka N point O and point T then extend the segment of the OT line. Second: Make a circular arc with center T that cuts the line at points A and B. Third: ] Draw a circular arc that equals center A and B. Both arcs will intersect at C and D. [1945909] Fourth: Connect the lines C and D. The CD line...

How to Calculate the Length of Circles tangent

How to Calculate Length of Circles tangent - Previously we both learn about how to paint the tangent on the circle The Basic Mathematical Formula also has already explained the material Equation of the Tie on the Circle . Especially for the material on this occasion to be discussed is about how to calculate the length of tangents on a circle. To make it easier and faster to understand it, we simply learn it in the example problem and how to solve it: ] Example Problem and Completion Length Circle tangent Example Problem 1: Calculate the length of the tangent from a point outside the circle if the distance of the point to the center of the circle is 10 cm and the radius of the circle is 6 cm !! [194590] Known OT = 10cm, r = 6cm, and the tangent of the circle is TA. Because TAO is elbow in A then using the theorem of phytagoras is obtained: TA 2 = OT 2 - OA 2 TA 2 = 10 2 -6 2 TA 2 TA 2 = 64 TA = √64 = 8 So the length of the...

Presentation of Data Using Tables

Presentation of Data Using Tables - Inside The material on statistical data is not sufficiently collected but must be presented in a form that is more interesting and easy to be understood by the person who will use the data. Presentation of data can be done by using various media, one of them is by using table. Therefore, in this discussion The Basic Mathematical Formula will invite you to jointly study the ways or steps of data presentation using tables. [1945907] Single Table Data Frequency The presentation of a single data by using an ordinary table is called a single data frequency distribution term. In order to make it easier for you to understand it, consider the following example: In the population census held in a village, the number of children owned by each family as follows : 1 4 3 4 5 4 3 6 1 2 2 3 2 4 1 6 5 3 4 3 4 4 5 4 4 4 6 5 4 4 2 4 3 3 2 4 2 3 4 1 The data is still random and has not been neatly arranged and Regularly so it will be diff...

(19459006) Presentation of Data With a Circle Diagram - Presentation of data can be done in many ways. In addition to using tables, pictograms, or bar charts of data presentation can also be done using a pie chart. On this occasion The Basic Mathematical Formula will continue the material on the presentation of data by discussing more about the pie chart and the steps of making it. Pie charts are usually used to present data in percentages. The circle region represents the entire data. Data are presented using juring or sector where the angle of the center of the juring corresponds to the ratio of each data to the entire data. Here is an example of a circle diagram:

Solution: Before the pie diagram of the data, we must find the percentage first so that later we can determine the magnitude of the angle of each data obtained. After we get the percentage and the large angle, we can present the data into a pie chart like Below: [1945909] Such are the reviews and material summaries on the way Presentation of Data Using a Circle Diagram hopefully the discussion of the example above can make kalan understand about the steps that must be done when want to present the data in the form of a pie diagram where the obtained data is described in the form of percentage and big angle in the greeting of a circle Facebook Google+ Twitter Gilalogie

Data Presentation Using Diagrams

Presentation of Data Using Diagrams - When in the article The Basic Mathematical Formula has previously been discussed concerning Bar Diagram this time we will Learn how to presenting data that is quite similar to bar chart that is by using line diagram. Line charts are typically used to present data obtained from time-to-time on a regular basis with specific time intervals. Usually a line diagram is used to determine the development or growth of a thing in a continuous (continuous). For example, the high growth of mango trees every month, baby's weight growth every month, and the amount of rainfall in an area within a year. Here is an example of a line diagram. [1945902million] Similar to bar charts, in line diagrams are also used horizontal axes as well as vertical axes where the two intersect intersect perpendicularly In general, the horizontal axis indicates the length of time of observation whereas the vertical axis shows the result of the observations m...

Meaning of Centralized Data Mean, Median and Modus Data Center Meaning, Median and Modus Size - A centralized measure of a group of data is a value or data that can represent a group of data or often referred to as averages. The average value in general has a tendency to lie in the middle position within a group of data arranged in sequence or in other words has a tendency to center. An example of a height data from some students is as follows: 135 140 150 150 155 155 157 160 From the data it is seen that a large proportion of the student's height can be estimated at about 150 cm. Thus, it can be deduced that 150 is a centralized measure of the student's height data above. You need to know that there are several types of data centering sizes commonly used in mathematics namely Mean, Median, and Modus. In this article The Basic Mathematical Formula will explain it one by one at the start of Mean. [194590] The Measures of Central Data Mean, Median and Mode Mean / Abbreviate Count ] Referred to as the mean of a set of data is the total sum of the data divided by the number of available data. If it consists of n ie x 1 x 2 x 3 ... x n then the mean of the data can be formulated as follows: ]

Modes In a process of collecting data, it will usually get mixed results. There is data that appears only once da tone also data that appears many times. The most commonly emerging data is called the Mode. [194590]] Sample Problem and Solution: Find the mode of the following data: a. 4, 6, 5, 7, 5, 8, 5, 6, 7 b. 1, 3, 2, 4, 2, 3, 5 c. 1, 10, 7, 8, 4, 3, 5, 9 Completion: a. Number 5 appears 3 times on the data, then the mode is 5 b. Numbers 2 and 3 have the same frequency (appears 2 times) then the mode of the data is 2 and 3. The two-mode data is referred to as bimodus . c. Because each data has the same frequency then there is no mode. Such is the explanation and discussion that can be given by us about Measures of Central Data Mean, Median and Mode hopefully can help you To better understand this material. Share to Facebook Google+ Twitter Gilalogie

Size Distribution of Statistical Data

Size Distribution of Statistical Data - Inside Previous articles we have together studied the subject matter of mathematics on The Data Centralization Size which includes the Mean , Median, and Modus. On this occasion we will learn about the size of the data dissemination. To know more clearly what is meant by the size of the spread of data then you should listen carefully to the explanation to be given by Basic Mathematical Formulas The size of the data dissemination is a size value that gives an idea of ​​how A large amount of data spread from its central points. Data dissemination sizes include range, quartiles, interquartile range, and semiinterquartile range or commonly referred to as quartile deviations. Definition of Reach, Quartile, Interquartile Range, and Reach of Semiinterquartile Reach What is meant by the range of a data is the difference between The largest value and the smallest value in the data. The range can be formulated as ...

Understanding Patterns of Mathematical Numbers

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Understanding Patterns of Mathematical Numbers - The mathematical number pattern is an arrangement of several numbers that can form a particular pattern. You must have studied a diverse set of numbers. Well, from the set of numbers you can make the order of numbers. Let's look at the calendar picture below. The calendar contains dates that are composed of a set of original numbers beginning from 1 to 31. From the date on the calendar above, you can form various numbers of compositions, suppose we take the example of the date arrangement in the first week The dates of the first week are 1, 2, 3, 4, 5. Date -that form a set of acute numbers less than 6. That is just one example of the composition or pattern of numbers that exist in the mathematics lesson There are several types of bilagan arrangement Which can be described in certain patterns To find out more see discussion Basic Mathematical Formulas below: Types of Mathematical Numbers Patterns Even Pa...

Understanding the Range of Opportunity Values ​​

Definition of the Range of Opportunity Values ​​ - Simply The range of opportunity values ​​can be interpreted as an estimate of the probability of an event occurring within a sample space. We take the example in a football game, the referee will use coins or coins to determine which teams will get the first ball. From the toss of the coin, which ones have a greater chance of appearing, pictures or numbers? Since the shape of the coin is symmetrical and has only two sides, the probability of the appearance of the image or number is the same. If each sample point in sample space S has equal opportunity to emerge, then the probability of occurrence of event A in sample space S is:

The Formula of Frequency of Hope and the Opportunity of Complement A Genesis

The Formula of Frequency of Hope and the Opportunity of Complement an Event - Reunite with The Basic Mathematical Formula The material we will discuss together this time is still about opportunity. After this we learn about Understanding the Range of Opportunity Values ​​ This time we will try to understand the frequency of hope and the chance of the complement of an incident complete with the discussion of understanding, the formulas used and examples of problems and ways Finish it. Immediately we see the topic of discussion below: [1945907] Definition and Formula Frequency of Hope What is meant by the frequency of expectation is the result of Multiplication between the probability of occurrence of an event multiplied by the number of experiments performed. As a conoth, on a coin toss, the probability value of the image is 1/2. If the toss of the coin is done 30 times then the expectation of the image is: 1/2 x 30 = 15 times Since it is referred...

The properties of sequences or arithmetic series

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Characteristics of Rows or Arithmetic Rows [1945909] [1945907] has given an explanation of Lineage and Arithmetic Arrangements to complete the post, This time will be discussed about the properties possessed by sequence or arithmetic series. You must look again at the concepts of the n and the n first tribes in the arithmetic series. If you have understood it well, then surely you will be able to understand the properties that apply to the sequence or the following series of arithmetic more easily: Nature -The Characteristics of the Row or Arithmetic Arranges First Nature: If x, y, and z are consecutive numbers From a row of arithmetic, it will apply: "Twice the middle number equals the sum of the two numbers that are next to it" 2y = x + z Proof: Let's say an arithmetic sequence has different b then y = x + b and z = x + 2b so: 2y = x + z [1945909] 2 (x + b) = x + (x + 2b) 2x + 2b = 2x + 2b Proved tha...

How to Solve Problems of SPLDV with Graph Method

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How to Solve SPLDV Problem With Graph Method - Hello friend Basic Mathematical Formula You need to know that in determining the set of solutions of a system of linear equations two variables there are many ways or methods that can be done, one of them is with Using the graph method. As the name implies, this method uses graphs in solving SPLDV problems. The steps to be taken in this method are: 1. First draw graphs of each equation in a cartesius diagram. 2. Then specify the intersection points of both graphs. 3. It is the cutting point that later becomes the solution of the SPLDV. Sample Problem SPLDV and How to Solve it Let's just practice it to solve the following problem: Example Problem 1: Find the set of solutions of the system of equations x + y = 5 and ] for x, y ∈ R using the graph method. Solution: Determine the first point of the gais-line on the system of equations With the coordinate axes like the following: [1945904] ...

How to Solve Problems of SPLDV by Substitution Method

Resolving the SPLDV Problem With Substitution Method [1945909] then on the occasion of this time The Basic Mathematical Formula will describe the method Else you can use to solve the problems about the system of two linear equations. The method used in this method is to declare one variable into another variable in an equation. In order to make it easier for us to understand this method we just practice to solve the examples of the questions given below: How to Solve SPLDV Problems With Substitution Method [1945909] Sample Problem: Use the substitution method to determine the set of solutions of the system of equations 5x + 5y = 25 ]] [194590] [194590]] Completion: 5x + 5y = 25 .......... (1) 3x + 6y = 24 .......... (2) Notice the equation (1) 5x + 5y = 25 - 5y = 25 - 5x Then, the y value is substituted in equation (2) to obtain : 3x + 6y = 24 ó 3x + 6 (5 - x) = 24 [1945909] ó 3x + 30 - 6x = 24 - 3...

How to Solve Problems of SPLDV with Elimination Method [1945900] Resolving the SPLDV Problem with the Elimination Method - On the discussion of Formulas Basic Mathematics before we have learned together about how to solve SPLDV problem by substitution method . This time we will discuss other methods that can also be used to work on SPLDV problems called the Elimination method. What is meant by the elimination method is to eliminate or eliminate any of the variables and variables to be eliminated must have the same coefficients. If the coefficient of variables is not the same then you must multiply one equation with a certain constant so that there will be variables that have the same coefficients. To understand this method, let's just look at the example of the problem and the solution below: [1945907] Sample SPLDV Problem and Its Solution by Elimination Method [1945904] Example Problem 1: There are two equations, ie 2x + y = 8 and x - y = 10 with x, y R. Find the set of solutions of the system of equations by the method of elimination! Solution: From both equations, you can see the same coefficients possessed by variable y. Therefore, this y variable can we eliminate by summing. Thus the value of x can be determined in the following way: 2x + y = 8 x - y = 10 + 3x = 18 X = 6 2x + y = 8 | X 1 | 2x + y = 8 x - y = 10 | X 2 | 2x - 2y = 20 - 3y = -12 y = -4 Hence, the set The solution of the above equation system is (6, 4). [1945909] [1945909] Mixed Method In addition to using graphical methods, substitution methods, and methods of elimination, the system of equations Linear can also be solved by using a mixed method which is a combination of substitution methods with the method of elimination. The trick is to complete SPLDV with the method of elimination first and then proceed with substitution method. Consider the following example to understand how: Example Problem 2: Determine the set of settlements From the system of equations 2x + y = 5 and 3x - 2y = 11 where x, y R.

Solution: 2x + y = 5 ........ (1) 3x - 2y = 11 .... (2) Of the two equations above are not found coefficients of the same variable so that one of the coefficients of variables must be equated in advance by multiplying both equations With a number. For example we want to equate the coefficient of variable x then the first equation is multiplied by 3 and the second equation is multiplied by 2. 2x + y = 5 | X3 | ó 6x + 3y = 15 3x - 2y = 11 | X2 | - 6x - 4y = 22 - 7y = -7 Y = - 1 Then the result can we substitute into one equation. Suppose the first equation, so obtained: 2x + y = 5 2x -1 = 5 2x = 5 + 1 x = 3 Thus, the set of solutions of the system of linear equations is (3, -1) [1945904] So much of the full discussion we can tell you all about Resolving the SPLDV Problem with the Elimination Method You can make it easier to solve the questions about the system of linear equations of two variables. Until re-encounter in the discuss...

Changed System of Nonlinear Equations Two Variables to the Form SPLDV

Changed the Nonlinear Equation System of Two Variables into the SPLDV Form - On this occasion The Basic Mathematical Formula will discuss the matter of the system of nonlinear equations of two variables and how to solve them. To be able to solve it we must change the equation into a linear equation form. After that, the system of obtained linear equations can be solved by using the methods discussed in some previous posts. Let's just take a look at the examples of problems and solutions listed below: How to Change the Nonlinear Equation System of Two Variables into the SPLDV Form Take a good look at the examples of problems and steps you should take to solve the problem that will be explained as follows: Sample Problem: Find the set of solutions of the system of linear equations 2x 2 - y 2 = 7 and 3x 2 + 2y

Concepts Relating to Pythagoras' Example

Concepts Relating to the Pythagoras Theory - Did you know that there are some concepts that are closely related to the Pythagoras proposition? In this article The Basic Mathematical Formula will describe some of these concepts. Some concepts we will study together are the square and the square root of a number and the area of ​​square and right triangle. Let's just look at the material below: [1945909] The Square and the Root of Squares a Number We have seen together that the square of a number is a repeating multiplication of a number twice. If a is a number then the square of a is a 2 . The following examples are quadratic forms: 5 2 = 5 x 5 = 25 [1945909] (- 3) 2 = (-3) x (-3) = 9 2 = 0,5 x 0,5 = 0, 25 [194590] Then what is a square root? The square root of a number is a nonnegative number squared equal to that number. The square root of a number is the inverse of the square of a number. If y is the square of the number x ( ...

Math Games Simple for Children and Families

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Math Games Simple for Children and Families - for some people mathematics is a difficult subject to understand. But the real lesson of mathematics can be easier to understand if we try to familiarize themselves with things that are associated with math so slowly we would have liked the lesson. One way is to try games that involve mathematical elements in it like numbers, counting, addition, subtraction, multiplication, and so on. Did you know that there are some mathematical game that you can play with friends or family? Special in this post Formula MatematikaDasar will explain the 8 types of games related to math. Want to know what games that you can try to practice math skills do you have? Here comes the explanation: 8 type Games Related to Mathematics snakes and ladders The game of snakes and ladders are not necessarily foreign to your ears. snake ladder memamng is a a classic game that has been popular since ancient times. this game actually is one examp...