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Home » \sin 3x = 3\sin x - 4\sin^3 x - Tacotoon

\sin 3x = 3\sin x - 4\sin^3 x - Tacotoon

📅 March 10, 2026 👤 scraface

Mar 10, 2026

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📌 A = \sqrt{s(s-a)(s-b)(s-c)} = \sqrt{21(21-13)(21-14)(21-15)}

📌 A = \sqrt{21 \times 8 \times 7 \times 6} = \sqrt{7056} = 84

📌 r = \frac{A}{s} = \frac{84}{21} = 4

📌 Thus, the radius of the inscribed circle is \(\boxed{4}\).

📌 A pharmacologist developing new drugs visualizes molecular bonds as a right triangle with legs of lengths 9 cm and 12 cm. Determine the length of the hypotenuse and the area of the triangle.

📌 To find the hypotenuse \(c\) of a right triangle with legs \(a = 9\) and \(b = 12\), we use the Pythagorean theorem:

📌 A = \frac{1}{2} \times a \times b = \frac{1}{2} \times 9 \times 12 = 54

📌 Thus, the length of the hypotenuse is \(\boxed{15}\) and the area is \(\boxed{54}\).

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Time in hours:
\( \frac{7 \text{ miles}}{18 \text{ mph}} = \frac{7}{18} \text{ hours}...
Convert to minutes:
\( \frac{7}{18} \times 60 = 23.\overline{3} \approx 23.33 \text{ minut...
Answer:** #### 23.33
A store discounts a jacket originally priced at $140 by 15%. After the...
\( 15\% \times 140 = 0.15 \times 140 = 21 \).
Price after discount:
\( 140 - 21 = 119 \).
Sales tax:

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