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Home » Subtract (iv) from (v): - IX Labs

Subtract (iv) from (v): - IX Labs

📅 March 10, 2026 👤 scraface

Mar 10, 2026

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📌 Two angles of a triangle are \( 45^\circ \) and \( 85^\circ \). What is the measure of the third angle?

📌 Sum of angles in a triangle = 180°.

📌 Third angle = \( 180 - 45 - 85 = 50^\circ \).

📌 A rectangular prism has dimensions 4 cm, 5 cm, and 6 cm. What is the length of its space diagonal?

📌 Diagonal: \( \sqrt{4^2 + 5^2 + 6^2} = \sqrt{16 + 25 + 36} = \sqrt{77} \).

📌 \( \sqrt{77} \approx 8.77 \) cm.

📌 #### 8.771. A virologist is testing a new antiviral compound on a culture of 1000 virus particles. After applying the compound, 60% of the viruses are neutralized in the first hour. In the second hour, 30% of the remaining viruses are neutralized. How many virus particles remain active after two hours?

📌 First hour: 1000 × 0.60 = 600 neutralized → 1000 - 600 = 400 remaining

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