Study About Adjacent

Introduction to study about adjacent

Adjacent is an adjective meaning contiguous, adjoining or abutting. In geometry, adjacent is when sides meet to make an angle. In trigonometry the adjacent side of a right angled triangle is the cathetus next to the angle in question. In graph theory adjacent nodes in a graph are linked by an edge. (Source: From Wikipedia)

Here we are going to study about adjacent. I like to share this Adjacent Angles Definition with you all through my article.


Study about adjacent sides

Here we are going to study about adjacent sides of polygons. In a two dimensional shapes, like triangle, square or rectangle, two sides which share a common vertex and angle is called as adjacent sides.

If the adjacent sides of a polygon are in same length, then it is called as a square. In a rectangle, the adjacent sides are not equal but, opposite sides are equal. The angle between adjacent sides in a square and a rectangle is 90 degrees.

If the adjacent sides of a triangle are equal and it is called as an isosceles triangle.

Example problem

If the lengths of adjacent sides of a rectangle is x and x+5 meters respectively. The perimeter of the rectangle is 34 meter. Find the area of the rectangle.

Solution

The perimeter of the rectangle = 2(l + b)

Here the length and breadth of the rectangle is given by it's adjacent sides, x and x+5.

so, 34 = 2(x + x + 5)

34 = 2(2x + 5)

34 = 4x + 10

34 - 10 = 4x - 10

24 = 4x

x = 6

So, the adjacent sides of the rectangle are 6 and 11 meter respectively.

Area of the rectangle = lb square meter

= 6 * 11 square meter

= 66 square meter.

So the area of the given rectangle is 66 square meter. Understanding Find an Angle is always challenging for me but thanks to all math help websites to help me out.


Study about adjacent angles


Here we are going to study about adjacent angles.

Adjacent angles are nothing but, two are more angles which shares a common vertex.
If the sum of two adjacent angles is 90 degree, then the angles are called as complementary angles.
If the sum of two adjacent angles is 180 degree, then the angles are called as supplementary angles.
Example problem

If two adjacent angles are complement to each other, and one angle measures 48 degree, find another angle.

Solution

Given that the adjacent angles are complement, that is the sum of the adjacent angles is 90 degrees.

One angle measures 48 degree.

Measure of another angle = 90 - 48

= 42 degree.

Algebra Study Guide

Introduction to algebra study guide:

Algebra, a branch of mathematics deals with the expressions of various order, their operations, relations and construction and concepts of expressions.Algebra is the combination of numerical numbers, alpha-numeric variables, expressions and etc., the basic aim of the algebra is balancing the algebraic equations on both sides.In algebra study guide you can learn about the various expressions and order of expressions, with their standard forms. I like to share this Adding Polynomials with you all through my article.



General concepts of Algebra – algebra study guide:


Quartic function:


The Quartic function can be defined as the algebraic expression of fourth order. That is the highest power in the equation is equals to 4.

It is an algebraic equation with order number 4.

The general form is given by,

f(x) = ax^4 + bx^3 + cx^2 + e.

thus, the quartic expression from algebra study guide.

Quintic equation:

The Quintic equation can be defined as the algebraic expression of fifth order. That is the highest power in the equation is equals to 5.

It is an algebraic equation with order number 5.

The general form is given by,

ax5 + bx4 + cx3 + dx2 + ex + f = 0.


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Polynomial:

The Polynomial expression can be defined as the algebraic expression of second order. That is the highest power in the equation is equals to 2.

The polynomial equation is of the form,

x^2 – 10x + 7 = 0

Note:

The addition or multiplication of any two polynomial results another polynomial.

These are the various forms of algebraic equations from algebra study guide.

Experiment Learning

Introduction experiment learning:-

In this article we are learning about the experiment concept. A learning probability experiment is a condition where chances affect the outcome (the result of a learning experiment). A coin flip is a learning probability experiment because chance affect whether a coin will ground heads or tails when it is flipped. In learning probability, an experiment is a procedure with an outcome that deepens leading chance. Some learning examples of such experiments are given below. Is this topic Experimental Probability Definition hard for you? Watch out for my coming posts.


Example for learning experiment:-


Learning Experiment 1:-

Toss the coin. But the coin is fair, (that is balanced or unbiased) the chance of in receipt of a head is one chance in two. The chance of in receipt of a tail is also one in two.

Solution:-

In conditions of probability, we say that each outcome is evenly likely to occur and that the probability of tossing a head is one dived by two.

Learning Experiment 2:-

Ten cards number one to ten are placed in pack and then a card is drawn at random. It is even that is some of the ten cards will be selected.

Solution:-

There are four prime numbers and so the chance of choose a card bearing a prime number is four in ten hence, the probability of select a prime number is four dived by ten or two divide by five.

Learning Experiment 3:-

A die is fearful and the number on the highest face in noted. It is uniformly likely that any of the 8 numbers will show on the top. In other words the likely outcomes are 1, 2, 3, 4, 5, 6,7and. The set of these outcomes is called the example space for the experiment.

Solution:-

There are 4 odd numbers and 4 even numbers. so the chance of an odd number being on the peak face of the die is 4 in 8 (as there are 8 numbers in the sample space). So we say that the probability of obtain an odd number on the summit is 4 in 8:   P (odd number) =4/8.

Learning Experiment 4:-

Believe one more random experiment. This time two dice are thrown at once ant the numbers on the top are noted. There are 16 probable outcomes that are; there are 16 elements in the sample space.

Solution:-

By inspecting the following table, we see that there are 4 chances of getting a double. So the probability of getting on the uppermost faces is 4 in 16 P (double) =4/16.

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Practices problem for learning experiment:-


Learning Experiment Problem1:-

During Coin tossing, Toss a fair coin once and ask what the probability of heads is?

Answer:- one dived by two.

Learning Experiment Problem 2:-

A pack contains 124 birth certificates, of which 48 are of male births and 78 of female births. Suppose that a credential is drawn at random from this pack. What is the probability that the certificate tired will be that of a male birth?

Answer:- The probability of drawing a female’s credential is P (F)=78/124.

Learn Harmonic Mean Online

Introduction to learn harmonic mean online:
Harmonic mean is used to find the average of the given terms. Harmonic mean is defined as the number of given value divided by the inverse of the each values given. For calculating the harmonic mean, we are using one of the formula. By using the formula, we are calculating the harmonic mean.


Explanation to learn harmonic mean online

The explanations to learn harmonic mean is as follows,

Online has number of examples about the harmonic mean with suitable solutions.
All the examples given in online are worked out with step by step solutions.
Also the practice problems for the harmonic mean are very helpful to the students.
The formula given for calculating the harmonic mean is as follows,

Harmonic Mean =  `N/( (1/a_1) + (1/a_2) + (1/a_3) + .......(1/a_n))`

Where,

N = Number of terms in the given functions.
`1/a_1`   = Inverse of each terms in the given functions. Understanding Interesting Data Sets is always challenging for me but thanks to all math help websites to help me out.

Example problems to learn harmonic mean online

Problem to learn in online:

Problem 1:  2, 4, 8, 16. What is the value of the harmonic mean?.

Solution:

Step 1: Given:

Data  = 2, 4, 8, 16

N = 4

Step 2: Formula:

Harmonic Mean =  `N/( (1/a_1) + (1/a_2) + (1/a_3)....(1/a_n))`

Step 3: Simplify:

Harmonic Mean =  `N/( (1/a_1) + (1/a_2) + (1/a_3) + (1/a_4) )`

= `4/ ( (1/2) + ( 1/4) + (1/8) + (1/16))`

Step 4: Solve:

=  `4/((8 + 4 + 2 + 1)/16)`

= `64/(8 + 4 + 2 + 1)`

= `64/15`

= 4.2666

Result: Harmonic Mean = 4.2666

Thus, this is the required answer for the above given harmonic function.

Problem 2: 1, 3, 6, 8, 12. What is the value of the harmonic mean?.

Solution:

Step 1: Given:

Data  = 1, 3, 6, 8, 12

N = 5

Step 2: Formula:

Harmonic Mean =  `N/( (1/a_1) + (1/a_2) + (1/a_3)....(1/a_n))`

Step 3: Simplify:

Harmonic Mean =  `N/( (1/a_1) + (1/a_2) + (1/a_3) + (1/a_4) )`

= `5/ ( (1/1) + ( 1/3) + (1/6) + (1/8) + (1/12))`

Step 4: Solve:

=  `5/((24 + 8 + 4 + 3+ 2)/24)`

= `5/((41/24))`

= `120/41`

= 2.9268

Result: Harmonic Mean = 2.9268


Practice problems to learn harmonic mean online

Practice problems to learn in online:

Problem 1: 2, 6, 12, 24, 26. What is the value of the harmonic mean?

Answer: 6.027

Problem 2: 3, 5, 7, 9, 12. What is the value of the harmonic mean?

Answer: 5.742

Tutoring in Math

Introduction to tutoring in math:

Some times some subjects needs an extra effort to score a good grade in them and maths is one of the subject which is always a challenge for students. And tutoring is one of the solution  for that . But there are some limitation of class room tutoring in math like time limitation and limited availability of tutors. But here we have solutions of all these issue in our website tutorvista.com . Here we provide tutoring in maths with the help of a fully developed environment over Internet and experienced tutors. You can take a 10 minutes demo session of our services and in that demo session you can ask any of your doubt. I like to share this online math tutors for free with you all through my article.


Online Solution for math


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There other advantages also like you need not to go anywhere else for the tuition , so your time will save , which you can use in studies.  You can get revision of any topic to any number of times until you start feeling comfortable with the topic. Understanding Perimeter of a Square is always challenging for me but thanks to all math help websites to help me out.


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