Surface Area Formulas
Surface Area Formulas are the formulas in mensuration that help us calculate the surface area of any 3D geometric shape. Surface area refers to space occupied by the three-dimensional shape. It is denoted by the sum of the individual surfaces of the sides of a three-dimensional figure. The surface area of 3-D figures is of two types, Lateral Surface Area/Curved Surface Area and Total Surface Area....
read more
Sum of Arithmetic Sequence Formula
A sequence is an arrangement of any things or a group of numbers in a certain order that follows a rule. Basically, it is a set of numbers (or items) that follow a specific pattern. For example, 5, 10, 15, 20…. is a sequence as every time the value is getting incremented by 5. If the sequence’s elements are in ascending order, the sequence’s order is ascending. If the sequence’s elements are in decreasing order, the sequence’s order is decreasing. Arithmetic sequence, geometric sequence, Fibonacci sequence, harmonic sequence, triangular number sequence, square number sequence, and cube number sequence are a few examples of specific sequences....
read more
What is the simplified form of -9m(-2n5)?
Mathematics is not only about numbers but it is about dealing with different calculations involving numbers and variables. This is what basically is known as Algebra. Algebra is defined as the representation of calculations involving mathematical expressions that consist of numbers, operators, and variables. Numbers can be from 0 to 9, operators are the mathematical operators like +, -, ×, ÷, exponents, etc, variables like x, y, z, etc....
read more
Factorize x3 + 4x2 – 9x – 36.
Mathematics is not only about numbers but it is about dealing with different calculations involving numbers and variables. This is what basically is known as Algebra. Algebra is defined as the representation of calculations involving mathematical expressions that consist of numbers, operators, and variables. Numbers can be from 0 to 9, operators are the mathematical operators like +, -, ×, ÷, exponents, etc, variables like x, y, z, etc....
read more
Area of Triangle | Formula and Examples
Area of a triangle is the region enclosed by all its three sides. It is generally calculated with the help of its base and height. To Find the Area of a triangle A with base b and height h, We use the formula, A = [Tex]\frac{1}{2} \times b \times h [/Tex]....
read more
Complex Number Formula
The sum of a real number and an imaginary number is defined as a complex number, and the numbers which are not real numbers are called imaginary numbers. The number can be written in form of b+ic, where b and c are real numbers and ic is an imaginary number, and ” i” is an imaginary part which is called iota. hence here the value of i is (√-1) . so i2=-1...
read more
What is the coefficient of y in 5xy?
Algebra is a branch of mathematics concerned with symbols and the mathematical operations that may be applied to them. Variables are symbols that do not have predefined values. In our everyday problems, we regularly see values shift. However, there is an ongoing need to express these shifting values. These values are usually represented in algebra by symbols such as x, y, z, p, or q, and these symbols are known as variables....
read more
How to find the Absolute Value of a Complex Number?
The distance between the origin and the given point on a complex plane is termed the absolute value of a complex number. The absolute value of a real number is the number itself and is represented by modulus, i.e. |x|....
read more
Evaluate a2 × a3 × a-5
Exponents and powers are used to show very large numbers or very small numbers in a simplified manner. For example, if we have to show 2 × 2 × 2 × 2 in a simple way, then we can write it as 24, where 2 is the base and 4 is the exponent. The whole expression 24 is said to be power....
read more
What is the length of the diagonal of a square whose area is 16900m2?
Square is a two-dimensional figure which is associated with four equal and parallel sides. All the sides are equal in length. All the angles corresponding to the corners of the square are equal to right angles....
read more
Simplify (5/8)-7 × (8/5)-5
Exponents and powers are used to show very large numbers or very small numbers in a simplified manner. For example, if we have to show 2 × 2 × 2 × 2 in a simple way, then we can write it as 24, where 2 is the base and 4 is the exponent. The whole expression 24 is said to be power....
read more
Prove that cos θ/(1 + sin θ) = (1 + cos θ – sin θ)/(1 + cos θ + sin θ)
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....
read more