Simplify √(3x2y3) / √(5x3y2)
Algebraic Expression is made up of variables and constants along with algebraic operations such as addition, subtraction, etc.. these Expressions are made up of terms. Algebraic expressions are the equations when the operations such as addition, subtraction, multiplication, division, etc. are operated upon any variable....
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Continuous Compounding Formula
Continuous Compounding Formula is a financial concept where interest is continuously computed and added to an account’s balance over an infinite number of time intervals....
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Annulus Area Formula
It is defined as the difference between the area of the two circles of radius R and r. R is the radius of the bigger circle, while r is the radius of the smaller circle. The common area between the two circles is known as the annulus region and the formula used to find that area is known as the annulus formula. It can also be termed as a circle with a hole in the center of radius r....
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If A, B and C are interior angles of a triangle ABC, then show that sin [(B + C)/2] = cos A/2.
Trigonometry is a discipline of mathematics that studies the relationships between the lengths of the sides and angles of a right-angled triangle. Trigonometric functions, also known as goniometric functions, angle functions, or circular functions, are functions that establish the relationship between an angle to the ratio of two of the sides of a right-angled triangle. The six main trigonometric functions are sine, cosine, tangent, cotangent, secant, or cosecant....
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What is the value of sin(225°) in radical form?
Trigonometry is a field in mathematics that makes the relations between the sides and angles in a triangle using their ratios and identities. Using the trigonometric ratios we can calculate various measurements connected to a triangle. In Trigonometry, standard ratios are defined for the ease of calculation of some common problems related to the length and angles of the sides of a right-angled triangle....
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If the sum of first p terms of an AP is (ap² + bp), find its common difference?
Arithmetic probably has the longest history during the time. It is a method of calculation that is been in use from ancient times for normal calculations like measurements, labeling, and all sorts of day-to-day calculations to obtain definite values. The term got originated from the Greek word “arithmos” which simply means numbers....
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Monthly Compound Interest Formula
Interest is the extra amount of fees paid to borrow money or any other assets. Interest is paid on a monthly, quarterly, or annual basis. The interest earned depends on the time for which money is invested, the amount of money invested, and the rate at which money is invested....
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Scientific Notation Formula
In mathematics, there is a plethora of numerals and numerical figures. We are all familiar with the concept of the number line and also that it extends infinitely to the left as well the right of zero. As a result, the numbers keep on becoming smaller and smaller (towards the left) or bigger and bigger (towards the right) to the point where it is no longer convenient for them to be expressed in decimal form. This is where the concept of scientific notation comes into the picture. It is discussed below....
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Find the number of permutations and combinations if n = 12 and r = 2
Permutation is known as the process of organizing the group, body, or numbers in order, selecting the body or numbers from the set, is known as combinations in such a way that the order of the number does not matter....
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Are negative fractions rational numbers?
Numbers are the mathematical values or figures used for the purpose of measuring or calculating quantities. It is represented by numerals as 2,4,7, etc. Some examples of numbers are integers, whole numbers, natural numbers, rational and irrational numbers, etc....
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Relation between Mean, Median and Mode
Relation between Mean, Median and Mode...
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Secant Formula – Concept, Formulae, Solved Examples
Secant is one of the six basic trigonometric ratios and its formula is secant(θ) = hypotenuse/base, it is also represented as, sec(θ). It is the inverse(reciprocal) ratio of the cosine function and is the ratio of the Hypotenus and Base sides in a right-angle triangle....
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