Need some help with this question please

Mathematics

1 answer:

Serggg [28]3 years ago

4 0

Answer:

$\frac{15}{17}$

Step-by-step explanation:

$\cos( \alpha ) = \frac{ad}{hip} \\ \\ \sin( \alpha ) = \frac{op}{hip}$

Pythagorean theorem

hip² = op² + ad²

17² = x² + 8²

x² = 17² - 8²

$x \: = \sqrt{{17}^{2} - {8}^{2} } \\ x = \sqrt{289 - 64} \\ x = \sqrt{225} \\ x = 15$

$\sin( \alpha ) = - \frac{15}{17}$

$\sin( - \alpha ) = \frac{15}{17}$

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Step-by-step explanation:

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4 years ago

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Liula [17]

Answer:

24 cubes

Step-by-step explanation:

First, we need to find the volume of the prism. To do this, we multiply the length by the width by the height, so $1 \cdot 2 \cdot \frac {3}{2} = 3$ . Then, we need to find the volume of one small cube, which has a length, width, and height of $\frac {1}{2}$ , so $\frac {1}{2} \cdot \frac {1}{2} \cdot \frac {1}{2} = \frac {1}{8}$ . Then we divide the volume of the prism by the volume of a cube to find how many could fit, so $3 \div \frac {1}{8} = 24.$