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Home » Given that $ a + b + c = 0 $, substitute into the identity: - Richter Guitar

Given that $ a + b + c = 0 $, substitute into the identity: - Richter Guitar

📅 May 4, 2026 👤 scraface

May 04, 2026

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📌 d = \sqrt{10^2 + 24^2} = \sqrt{100 + 576} = \sqrt{676} = 26 \text{ cm}

📌 Thus, the diameter of the circle is 26 cm, and the radius is:

📌 r = \frac{26}{2} = 13 \text{ cm}

📌 The circumference $C$ of the circle is:

📌 C = 2\pi r = 2\pi(13) = 26\pi

📌 \boxed{26\pi}

📌 Question: An aerospace engineer at Blue Origin is designing a triangular support beam with side lengths of 13 cm, 14 cm, and 15 cm. What is the length of the shortest altitude, in centimeters?

📌 Solution: First, we compute the area of the triangle using Heron’s formula. The semi-perimeter $s$ is:

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= 2^3 \times 3^2 \times 5^1
The total number of positive divisors of 360 is:
Now, list the divisors of 360 that are less than or equal to 30:
1, 2, 3, 4, 5, 6, 8, 9, 10, 12, 15, 18, 20, 24, 30
Count these divisors: there are 15 such divisors.
Since \( v \) is a positive integer \(\leq 30\), there are 30 possible...
\frac{15}{30} = \frac{1}{2}
Thus, the probability is \(\boxed{\frac{1}{2}}\).
Question:** The average of \( 3v+2 \), \( 5v-1 \), and \( 4v+7 \) is r...
First, compute the average of the three expressions:

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