1 year ago

For the members of a book group, the probability of randomly selecting a member who likes to read historical fiction is 47%, the

Mathematics

1 answer:

umka2103 [35]1 year ago

8 0

Answer:

75%

Step-by-step explanation:

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Which statements are true regarding the regular dodecagon? Check all that apply.

ladessa [460]

A dodecagon has 12 sides. That means that the smallest angle of rotational symmetry is 360/12 or 30°. All of its angles of rotational symmetry will be multiples of 30, including 180°. 135°, since it is not a multiple of 30°, is not a rotational angle for this figure. The order of °rotational symmetry is 12, as there are 12 sides you can turn this figure to (since it is regular).

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2 years ago

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Prove the following with Euler's formula to write e^itheta and e^-itheta in terms of sine and cosine. Then subtract them.

kirill115 [55]

Euler's formula tells us that

$e^{i\theta}=\cos\theta+i\sin\theta$
$e^{-i\theta}=\cos\theta-i\sin\theta$

Suppose we subtract the two. This eliminates the cosine terms.

$e^{i\theta}-e^{-i\theta}=i\sin\theta-(-i\sin\theta)=2i\sin\theta$

Divide both sides by $2i$ and you're done.