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Home » The triangle with sides 7, 24, and 25 is a right triangle since - Moon Smoking

The triangle with sides 7, 24, and 25 is a right triangle since - Moon Smoking

📅 May 15, 2026 👤 scraface

May 15, 2026

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\[ a = -\frac{g}{2v_0^2\cos^2\theta}, \quad b = \tan\theta. \]
Thus, the horizontal distance $x$ at which the projectile reaches its...
\[ x = -\frac{\tan\theta}{2\left(-\frac{g}{2v_0^2\cos^2\theta}\right)}...
Using the trigonometric identity \( \sin(2\theta) = 2\sin\theta\cos\th...
\[ x = \frac{v_0^2 \sin(2\theta)}{2g}. \]
Therefore, the horizontal distance is
\[\boxed{\frac{v_0^2 \sin(2\theta)}{2g}}.\]
A deep-sea extremophile genomics researcher is studying the growth dyn...
We are given the population model
\[ P(t) = P_0 e^{kt}, \]

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3x - 4y = 12 \quad \text{(1)}\\
2x + 5y = 10 \quad \text{(2)}
Use elimination. Multiply equation (1) by 5 and equation (2) by 4:
15x - 20y &= 60 \quad \text{(from (1))\times 5} \\
8x + 20y &= 40 \quad \text{(from (2))\times 4}
\end{aligned}
Add the equations:
Substitute \( x = \frac{100}{23} \) into equation (2):
2\left(\frac{100}{23}\right) + 5y = 10 \Rightarrow \frac{200}{23} + 5y...
\Rightarrow 5y = 10 - \frac{200}{23} = \frac{230 - 200}{23} = \frac{30...

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