Mathematics: Identify the volume of a square pyramid with base edge length 18 cm and height 16

Step-by-step explanation:By the Fundamental Theorem of Trigonometry = The positive version for . And the negative for Meaning sin is positive in the problem =...

Identify the volume of a square pyramid with base

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areeves39276

16.04.2021

Mathematics

1728

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kim643

08.04.2022

Mathematics

$\sin(\theta) = \frac{2\sqrt{6}}{5}$

Step-by-step explanation:

$\theta \in [\frac{\pi}{2}; \pi]\\cos(\theta) = \frac{-1}{5}$

By the Fundamental Theorem of Trigonometry => $\sin(\theta) = \pm \sqrt{(1-\cos^2(\theta))}$

The positive version for $\theta \in [0, \pi]$ . And the negative for $\theta \in (\pi; 2\pi)$

Meaning sin is positive in the problem => $\sin(\theta) = \sqrt{1 - \cos^2(\theta)} = \sqrt{1-\frac{1}{25}} = \sqrt{\frac{24}{25}} = \frac{2\sqrt{6}}{5}$

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Identify the volume of a square pyramid with base edge length 18 cm and height 16

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