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irga5000 [103]
3 years ago
9

A dice is rolled 5 times. How many possible outcomes are there?

Mathematics
1 answer:
Sholpan [36]3 years ago
6 0

Answer:

7776 outcomes

Step-by-step explanation:

A dice has six faces. So rolling it five times will lead to 6^5 outcomes or 7776 outcomes.

Hope this helps! :D

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lapo4ka [179]

Answer:

\cos{\theta} = \frac{\sqrt{15}}{4}

Step-by-step explanation:

For any angle \theta, we have that:

(\sin{\theta})^{2} + (\cos{\theta})^{2} = 1

Quadrant:

0 \leq \theta \leq \frac{\pi}{2} means that \theta is in the first quadrant. This means that both the sine and the cosine have positive values.

Find the cosine:

(\sin{\theta})^{2} + (\cos{\theta})^{2} = 1

(\frac{1}{4})^{2} + (\cos{\theta})^{2} = 1

\frac{1}{16} + (\cos{\theta})^{2} = 1

(\cos{\theta})^{2} = 1 - \frac{1}{16}

(\cos{\theta})^{2} = \frac{16-1}{16}

(\cos{\theta})^{2} = \frac{15}{16}

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Since the angle is in the first quadrant, the cosine is positive.

\cos{\theta} = \frac{\sqrt{15}}{4}

3 0
3 years ago
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Step-by-step explanation:

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Step-by-step explanation:

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3 years ago
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