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Questions and Answers
What is the area of a rectangle with length 8 cm and width 5 cm?
What is the area of a rectangle with length 8 cm and width 5 cm?
What is the value of x in the equation 3x + 7 = 16?
What is the value of x in the equation 3x + 7 = 16?
What is the value of 'pi' (π) approximately equal to?
What is the value of 'pi' (π) approximately equal to?
What is the value of the discriminant in the quadratic equation 4x^2 + 3x + 7 = 0?
What is the value of the discriminant in the quadratic equation 4x^2 + 3x + 7 = 0?
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In a right-angled triangle, what is the relationship between the lengths of the sides a, b, and c, where c is the hypotenuse?
In a right-angled triangle, what is the relationship between the lengths of the sides a, b, and c, where c is the hypotenuse?
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What is the sum of the interior angles of a regular polygon with 10 sides?
What is the sum of the interior angles of a regular polygon with 10 sides?
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Study Notes
Area of a Rectangle
- Area calculated by multiplying length and width.
- For a rectangle with length 8 cm and width 5 cm, the area is 40 cm².
Solving the Equation
- The equation 3x + 7 = 16 can be solved by isolating x.
- Subtracting 7 from both sides gives 3x = 9.
- Dividing by 3 results in x = 3.
Value of Pi (π)
- The mathematical constant pi (π) is approximately equal to 3.14.
- Pi represents the ratio of a circle's circumference to its diameter.
Discriminant in Quadratic Equations
- The discriminant, denoted as D, determines the nature of the roots in the quadratic equation ax^2 + bx + c = 0.
- For the equation 4x² + 3x + 7 = 0, the discriminant is calculated as D = b² - 4ac, which results in a negative value indicating no real roots.
Right-Angled Triangle Relationship
- In a right-angled triangle, Pythagorean theorem states: a² + b² = c².
- Here, 'c' represents the length of the hypotenuse, while 'a' and 'b' are the lengths of the other two sides.
Sum of Interior Angles of a Regular Polygon
- The sum of the interior angles of a polygon is calculated using the formula (n - 2) × 180°, where n is the number of sides.
- For a regular polygon with 10 sides, the sum of the interior angles is 1440°.
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Description
Test your math skills with this Class 10th math quiz! Solve equations, calculate areas of rectangles, and recall the value of 'pi' (π). Sharpen your math knowledge with these fundamental concepts.
