3 years ago

What is the probability of rolling a 3 on a 6-sided 8)

Mathematics

1 answer:

adelina 88 [10]3 years ago

7 0

Answer:

the chances of rolling a 3 are 1/6

the changes of not doing it is 5/6

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stealth61 [152]

Answer:

A) 66cm³

Step-by-step explanation:

Using the Pythagorean Theorem, the base of the triangle is 4. The area of a triangle is 1/2 base times height. Then you multiply times 11 to get the volume.

1/2(3)(4)(11)=66

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coldgirl [10]

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3 years ago

<img src="https://tex.z-dn.net/?f=%28%20%5Csin%5E%7B2%7D%20%28%20%5Cfrac%7B%5Cpi%7D%7B%204%20%7D%20%20-%20%20%5Calpha%20%29%20%2

guapka [62]

Step-by-step explanation:

$\sin^2 (\frac{\pi}{4} - \alpha) = \frac{1}{2}(1 - \sin 2\alpha)$

Use the identity

$\sin^2 \theta = \dfrac{1 - \cos 2\theta}{2}$

on the left side.

$\dfrac{1 - \cos [2(\frac{\pi}{4} - \alpha)]}{2} = \frac{1}{2}(1 - \sin 2\alpha)$

$\dfrac{1 - \cos (\frac{\pi}{2} - 2\alpha)}{2} = \frac{1}{2}(1 - \sin 2\alpha)$

Now use the identity

$\sin \theta = \cos(\frac{\pi}{2} - \theta)$

on the left side.

$\dfrac{1 - \sin 2\alpha}{2} = \frac{1}{2}(1 - \sin 2\alpha)$

$\frac{1}{2}(1 - \sin 2\alpha) = \frac{1}{2}(1 - \sin 2\alpha)$

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2 years ago