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Home » Master AverageIF in Excel to Save Hours—Watch This! - Imagemakers

Master AverageIF in Excel to Save Hours—Watch This! - Imagemakers

📅 April 30, 2026 👤 scraface

Apr 30, 2026

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📌 2\pi \times \frac{3}{2} = 3\pi \text{ meters}.

📌 The new height is $ \boxed{3\pi} $.

📌 Question: A structural engineer uses $ \frac{7}{3} $ tons of sustainable concrete for a beam. If $ \frac{2}{3} $ ton is reserved for reinforcement, how much concrete is used for the beam itself?

📌 Solution: Subtract $ \frac{2}{3} $ from $ \frac{7}{3} $:

📌 \frac{7}{3} - \frac{2}{3} = \frac{5}{3} \text{ tons}.

📌 The concrete used for the beam is $ \boxed{\frac{5}{3}} $.

📌 Question: How many whole numbers lie between $ \frac{5\pi}{2} $ and $ 3\pi $?

📌 Solution: Approximate $ \frac{5\pi}{2} \approx 7.85 $ and $ 3\pi \approx 9.42 $. Whole numbers in this interval are 8 and 9.

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Alternatively, accept that 440 is not a prime-type sum, but for sake o...
But for olympiad, perhaps they expect solving the quadratic:
Wait — perhaps I miscalculated 1,760?
So the sum cannot be 440 for even integers.
But perhaps the problem is: sum is 420? Then n=20
But 440 is given — maybe its a trick?
Wait — perhaps the student bought multiple sets? No — first n positive...
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Let the integers be x and x+2. Then, x(x+2) = 143.
Expanding, x² + 2x - 143 = 0.
Solving this quadratic using the quadratic formula, x = [-2 ± √(2² + 4...
Discriminant = 4 + 572 = 576, √576 = 24.
x = [-2 ± 24] / 2. Possible positive root, x = (24 - 2) / 2 = 11.
Integers are 11 and 13.
#### 11 and 13
A circle has a circumference of 31.4 meters. What is its area?
Circumference = 2πr = 31.4, so r = 31.4 / (2π) ≈ 5.
Area = πr² = π(5)² = 25π ≈ 78.5 square meters.

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