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Home » \[ (5a + b) - (3a + b) = 2 - 1 \] - Nurtured Nest

\[ (5a + b) - (3a + b) = 2 - 1 \] - Nurtured Nest

📅 May 9, 2026 👤 scraface

May 09, 2026

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📌 Alternatively, accept that the ratio is:

📌 But we can write it in terms of $r$ and $d$ only? Not uniquely.

📌 Thus, the ratio of the area of the incircle to the area of the triangle is $

📌 A hemisphere-shaped observatory on Mars has a radius of $3y$ units, and a spherical satellite dish has a radius of $y$ units. If the volume of the hemisphere represents the structural dome and the sphere the signal transmitter, what is the ratio of the volume of the dome to the volume of the transmitter?

📌 Volume of the spherical transmitter (radius $y$):

📌 The ratio of the dome volume to the transmitter volume is:

📌 New side length: $ s = 16 - 4 = 12 $ km

📌 $$Question: A right triangle has a hypotenuse of length $10$ cm and an inradius of $2$ cm. What is the ratio of the area of the inscribed circle to the area of the triangle?

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