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Home » Thus, the sum of the distinct prime factors is \(\boxed12\). - DNSFLEX

Thus, the sum of the distinct prime factors is \(\boxed12\). - DNSFLEX

📅 March 12, 2026 👤 scraface

Mar 12, 2026

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📌 Solutions: x = 4 or x = -2 (discard negative)

📌 Valid x: 4

📌 Circumference formula: \(C = 2\pi r\)

📌 Solve for r: \(31.4 = 2\pi r \Rightarrow r = \frac{31.4}{2\pi} \approx 5\)

📌 Area formula: \(A = \pi r^2\)

📌 Calculate area: \(A \approx \pi (5)^2 = 25\pi \approx 78.5\) square meters

📌 #### 78.5 (using \(\pi \approx 3.14\))Certainly! Here are 10 more challenging math questions along with their step-by-step solutions:

📌 A rectangle has a length that is 4 times its width. If the perimeter of the rectangle is 90 meters, what is the area of the rectangle?

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For $ z = -15^\circ + 180^\circ k $:
$ k = 1 $: $ 165^\circ $
$ k = 2 $: $ 345^\circ $
$ k = 0 $: $ -15^\circ $ — invalid
$ k = 3 $: $ 525^\circ $ — too large
For $ z = 45^\circ + 180^\circ k $:
$ k = 0 $: $ 45^\circ $
$ k = 1 $: $ 225^\circ $
$ k = 2 $: $ 405^\circ $ — too large
Solutions: $ z = 45^\circ, 165^\circ, 225^\circ, 345^\circ $

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