Yes, Shruti will gather the courage to speak to her father because she is committed to her group and promises her bandmates to raise the topic during dinner.
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Sides are 2x, 3x, 4x with sum 9x = 45, giving sides 10 cm, 15 cm, 20 cm. Semi-perimeter s = 22.5 cm. By Heron’s formula, area = √(22.5 x 12.5 x 7.5 x 2.5) = (75/4)√15 cm² (approx 72.62 ...
The base is 40 – (15 + 15) = 10 cm. Semi-perimeter s = 20 cm. By Heron’s formula, area = √(20 x (20 – 15) x (20 – 15) x (20 – 10)) = √(20 x 5 x 5 ...
Inscribed equilateral triangle side is a = r√3. Triangle area is (√3/4) x a² = (√3/4) x 3r² = (3√3/4)r². Dividing by circle area πr² yields ratio (3√3) / (4π) ≈ 0.413.
The correct choice is (b) Opportunity cost. Selecting one option requires giving up the benefit of the other alternative, which precisely defines opportunity cost when managing limited financial resources against competing desires.