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📅 April 16, 2026 👤 scraface

Apr 16, 2026

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🔥 Popular Posts

Thus, the shortest distance from the center to the path is $ \boxed{4}...
Question: A robotics engineer is designing a triangular linkage mechan...
Let the triangle have side lengths $ a = 7 $, $ b = 10 $, $ c = 13 $....
s = \frac{a + b + c}{2} = \frac{7 + 10 + 13}{2} = \frac{30}{2} = 15
Now, use Heron’s formula to find the area $ A $:
A = \sqrt{s(s - a)(s - b)(s - c)} = \sqrt{15(15 - 7)(15 - 10)(15 - 13)...
A = \sqrt{15 \cdot 8 \cdot 10} = \sqrt{1200} = \sqrt{400 \cdot 3} = 20...
r = \frac{A}{s} = \frac{20\sqrt{3}}{15} = \frac{4\sqrt{3}}{3}
Thus, the radius of the inscribed circle is $ \boxed{\dfrac{4\sqrt{3}}...
Question: An entomologist observes a spiderweb forming a perfect equil...

📝 Recent Posts

Solving for \( w \):
Therefore, the width is 8 meters and the length is \( 3 \times 8 = 24...
#### Dimensions: 8 meters (width) and 24 meters (length)
A cylindrical tank has a radius of 5 meters and a height of 10 meters....
Substituting the given values \( r = 5 \) meters and \( h = 10 \) mete...
V = \pi (5)^2 (10) = 250\pi
Approximating \(\pi \approx 3.14159\):
V \approx 250 \times 3.14159 = 785.3975
#### Volume: Approximately 785.40 cubic meters
A company produces two products, A and B. Product A sells for $50 and...

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