Govt. Exams
Entrance Exams
SI = (P × R × T)/100 = (5000 × 8 × 2)/100 = 800
(5³)^(2/3) = 5^(3 × 2/3) = 5² = 25
Circumference = 2πr = 2 × (22/7) × 7 = 44 cm
2^5 = 32, therefore x = 5
# Sum of Interior Angles of a Hexagon
The sum of interior angles in any polygon depends on the number of sides it has, following a fixed mathematical formula.
Step 1: Identify the Number of Sides
A hexagon is a polygon with 6 sides. This is the key information we need to apply the formula.
Step 2: Apply the Interior Angles Formula
The sum of interior angles of any polygon is given by the formula: Sum = (n - 2) × 180°, where n is the number of sides.
The sum of interior angles of a hexagon is 720°.
Answer: (A) 720°
3x + 7 > 16 implies 3x > 9, so x > 3
Using point-slope form: y - y₁ = m(x - x₁), we get y - 3 = 2(x - 2) or simplified y = 2x - 1 (both equivalent)
24 = 2³ × 3, 36 = 2² × 3², 48 = 2⁴ × 3. LCM = 2⁴ × 3² = 16 × 9 = 144
∫(3x² + 4x + 5)dx = 3x³/3 + 4x²/2 + 5x + C = x³ + 2x² + 5x + C
2ˣ = 32 = 2⁵, therefore x = 5
