The most important rule in basic algebra is the order of operations based on these the numerical expression are solved because the numerical expression are contains more than one operation, a rule is needed to analyze which operation we use first, this rule is called the order of operation. This could also help us on liter conversion.
Introduction: In this article let us learn on isosceles triangle and right angle. A triangle should be the base shapes of geometry. Line segments are the polygon. Isosceles triangles are one type of triangles.
In this angle of right angle could be an angle that will divide the angle created by two halves of a straight line. More precisely, when a ray should place that means its endpoint is over a line. And adjacent angles are equal. These angles are known as right angles.
Isosceles Triangle: Shape of Isosceles triangle:
This could also help us on reactivity series An isosceles triangle should have two equal sides. In the figure, two equal sides can contain length b. And also remaining side has length a.properties of angles should be equal to the two angles of triangle that are equal. This triangle has two equal sides and also two equal angles.
Finding the Formula for Direct Variation.
In this lesson let me help you on direct variation.Direct variation relations have the form y = kx where x and y are variables and k is a non-zero constant. The formula for a direct variation relationship can be found with the following steps.
Step 1: Translate the statement into a direct variation formula.
y is directly proportional to x means
y =k·x
Step 2: Substitute known values to find k. Step 3: Substitute k and write the formula.
Examples
u is proportional to v. If u = 16 when v = 4, then write the formula for the relation between u and v. This could also help us on maths project class 10
Step 1: Translate the statement into a direct variation formula.
u is proportional to v means
u =k·v
Step 2: Substitute known values to find k.
16 = k· 4
k=164=4
Step 3: Substitute k and write the formula.
u =4v Conclusion: the formula to express the relationship between u and v is u =4v
I hope my information on this topic is more helpful to you in understanding this. Keep reading and leave your comments.
Introduction to Percentage Change Calculator:- A percentage change is a way to express a change in a variable. It represents the relative change between the old value and the new one. The formula used to calculate the percentage change is
Percentage change = .
V1- represents the old value
V2 - the new one. Source: - Wikipedia
There are many online calculators available for calculating percentage change.
Percentage Change Calculator - Example Problems:
This can also help us on pictograph worksheets
Percentage change calculator - Problem 1:- Ram scored 86 runs in the cricket match on Monday. On Friday he scored 95 runs. Calculate the Percentage of change? Solution:- Given V2 = new value = 95 runs. V1 = old value = 86 runs. Percentage of change = ?. The formula used to calculate the percentage change is Percentage change = . By plugging in the given values in to the formula we get Percentage change = . The difference between 95 and 86 is 9. By plugging in it to the formula we get the answer as = * 100. The fraction 9/ 86 gives us 0.1046. =0.1046 * 100 =10.46 The percentage of change is 10.46.
The inverse matrix method are formed on the basis like X=A-1B which is formed for finding the matrix X with the equation AX = B It is used in solving the linear system of equations. Here A-1 is the inverse matrix representation. If we have to find the inverse of the 3 x 3 matrix, which uses 2 x 2 matrix for finding the determinant value for the 3 x 3 matrix. If we have to find the inverse of the 4 x 4 matrix, which uses 2 x 2 matrix and 3 x 3 matrix for finding the determinant value for the 4 x 4 matrix.
Definition of INVERSES of MATRICES:
The inverse of a square matrix A, sometimes called a reciprocal matrix, is a matrix A-1 such that [ A A^-1 = I] This can also help us on equations of motion
where I is the identity matrix. A-1to denotes the inverse matrix.
A square matrix A has an inverse if and only if the determinant |A| ≠ 0.
A matrix possessing an inverse is called non singular, or invertible.
In other words, the matrix which when multiplied by the original matrix gives the identity matrix as the solution
Introduction of measure angles:
In this lesson let me help you on measuring angle. In order to measure an angle θ, a circular arc centered at the vertex of the angle is drawn, e.g. with a pair of compasses. The length of the arc s is then divided by the radius of the circle r, and possibly multiplied by a scaling constant k (which depends on the units of measurement that are chosen).
Measuring Angles
In the study about measure angles, angles are considered in degrees. Keep in mind how you can portrait the one side of the angle as tracing out a circle or an arc of a circle. This also helps on measuring angles worksheet The complete circle forms a 360 degree angle. So, a semi circle or a straight angle is 180 degrees, as well as a fourth of a circle or a right angle is 90 degrees. Look at the figures. We utilize the little circle to indicate the degree after numbers.
In this section let me help you on how to calculate density Introduction to calculate density
Density of substance is defined as the ratio of the mass of a body to its volume.
This is given by ρ = m/v. Here, ρ denotes the density of the substance; m denotes the mass of the substance and v denotes the volume of the substance. Let us do some problems to calculate density of some substances now.
Problems to Calculate Density -
Example: The density of a liquid is 2 kg/cm3. The volume of the liquid is 44 cm3. What is the mass of the liquid? This will also help us in additive inverse property
Solution: Given: v = 44 cm3, ρ = 2 kg/cm3.
Mass, m = ρ × v
In this section let me help you on solving ratio and proportion.
Introduction to ratio and proportion:
Study of ratio and proportion are one of the main basic for mathematics. Here, the ratios are used to study the relationship between the two numbers given. . The symbol used for the proportion are " alpha" .And the symbol used for ratio is ":"
Problems on Ratio and Proportion:
Following example will also help us in Ratio and Proportion
Q.1 A field is 90 m long and 60 m wide. Find the ratio between its i) breadth and Length ii)Length and Perimeter Solution: 1) Breadth: length 60m: 90m 60: 90 60 / 30: 90 / 30 (divide both by 30) 2: 3 ii) Perimeter = 2[length + breadth] =2[90 + 60] = 2[ 150 ] = 300 m Now length : Perimeter 90 : 300 90 / 30 : 300/30 3 : 10
