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★ Formula of mathes( minimum 20)
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★ Formula of mathes( minimum 20)
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Sure, here are some common mathematical formulas:
1. **Area of a Rectangle**: A = length x width
2. **Area of a Triangle**: A = (base x height) / 2
3. **Area of a Circle**: A = πr² (π is approximately 3.14159)
4. **Perimeter of a Rectangle**: P = 2(length + width)
5. **Circumference of a Circle**: C = 2πr
6. **Pythagorean Theorem**: a² + b² = c² (relates the sides of a right triangle)
7. **Quadratic Formula**: x = (-b ± √(b² - 4ac)) / 2a (solves quadratic equations)
8. **Distance Formula**: d = √((x₂ - x₁)² + (y₂ - y₁)²) (calculates distance between two points)
9. **Slope-Intercept Formula**: y = mx + b (equation of a straight line)
10. **Sum of an Arithmetic Series**: S = n/2 * (2a + (n-1)d) (sum of an arithmetic sequence)
11. **Sum of a Geometric Series**: S = a / (1 - r) (sum of a geometric sequence)
12. **Area of a Trapezoid**: A = (1/2)h(b₁ + b₂) (average of the bases times the height)
13. **Volume of a Sphere**: V = (4/3)πr³
14. **Volume of a Cylinder**: V = πr²h
15. **Volume of a Cone**: V = (1/3)πr²h
16. **Euler's Formula**: V - E + F = 2 (relates vertices, edges, and faces in a polyhedron)
17. **Binomial Theorem**: (a + b)ⁿ = Σ(C(n, k) * a^(n-k) * b^k) (expands a binomial raised to a power)
18. **Law of Cosines**: c² = a² + b² - 2ab * cos(C) (relates sides and angles in a triangle)
19. **Standard Deviation Formula**: σ = √((Σ(x - μ)²) / N) (measures the spread of data)
20. **Interest Formula**: A = P(1 + rt) (calculates the future amount with principal, rate, and time)
These are just a few of the many mathematical formulas used in various mathematical and scientific fields.
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Answer:
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Sure! Here are20 common formulas used in mathematics:
1. Pythagorean Theorem: a^2 + b^2 = c^2 (relating the sides of a right triangle)
2. Quadratic Formula: x = (-b ± √(b^2 -4ac)) / (2a) (solving quadratic equations)
3. Distance Formula: d = √((x2 - x1)^2 + (y2 - y1)^2) (finding the distance between two points in a coordinate plane)
4. Slope Formula: m = (y2 - y1) / (x2 - x1) (calculating the slope of a line)
5. Area of a Rectangle: A = length × width6. Area of a Triangle: A =1/2 × base × height7. Area of a Circle: A = πr^2 (where r is the radius)
8. Circumference of a Circle: C =2πr (where r is the radius)
9. Volume of a Cube: V = side^310. Volume of a Cylinder: V = πr^2h (where r is the radius and h is the height)
11. Volume of a Sphere: V =4/3 × πr^3 (where r is the radius)
12. Perimeter of a Square: P =4 × side length13. Perimeter of a Rectangle: P =2(length + width)
14. Perimeter of a Triangle: P = side1 + side2 + side315. Sum of an Arithmetic Series: S = (n/2)(2a + (n-1)d) (where n is the number of terms, a is the first term, and d is the common difference)
16. Sum of a Geometric Series: S = a(1 - r^n) / (1 - r) (where a is the first term, r is the common ratio, and n is the number of terms)
17. Mean (Average): Mean = (sum of all values) / (number of values)
18. Median: The middle value in a set of ordered numbers (or the average of the two middle values if the set has an even number of values)
19. Mode: The value(s) that appear most frequently in a set of numbers20. Probability: P(A) = (number of favorable outcomes) / (total number of possible outcomes)
These are just a few examples, and there are many more formulas in mathematics depending on the specific topic or problem you are working on.