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3 years ago

What are the angles of rotational symmetry?

Mathematics

2 answers:

lidiya [134]3 years ago

8 0

Explanation:

Angles of rotational symmetry are the angles by which you can turn a figure about its center of symmetry so that the rotated figure is indistinguishable from the original.

Example

A square has angles of rotational symmetry of 90°, 180°, and 270°. Rotating a square around its center by any of these angles gives you back exactly the same square.

The number of angles of rotational symmetry (including 0°) is the degree of rotational symmetry. A square has rotational symmetry of degree 4.

bulgar [2K]3 years ago

4 0

Answer:

A figure has rotational symmetry if it can be rotated by an angle between 0° and 360° so that the image coincides with the preimage.

Step-by-step explanation:

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Step-by-step explanation:

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Mrs. Walker is instructing a team of students on designing the sailboat shown. Beth is working on the smaller sail, which is a r

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Answer: OPTION C.

Step-by-step explanation:

1. To solve this problem you must apply the Pythagorean Theorem, which is shown below:

$a^{2}=b^{2}+c^{2}$

Where a is the hypotenuse, and b and c are the legs of the triangle.

2. When you solve for one of the legs and substitute values, you obtain that the result is:

$b=\sqrt{a^{2}-c^{2}}\\b=\sqrt{(24.8ft)^{2}-(8ft)^{2}}\\b=23.5ft$

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3 years ago

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What is the missing reason in the proof?

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Perpendicular bisector theorem

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What is the length x of the right triangle, rounded to the nearest tenth?

Zarrin [17]

Answer:

109.5; B

Step-by-step explanation:

From your identity,

CosA = adjacent/ hypothenus

A represent an arbitrary angle between the sides in question.

In the question above, A=64

Hypothenus is the longest side and adjacent is the side just below the angle .

In the above case,

Hypothenus= X

adjacent =48

This means;

Cos64 = 48 /X

X = 48 / cos64; [ from cross multiplication and diving through by cos64]

X = 48 /0.4383 [ cos64 in radian = 0.4383]

= 109.51

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3 years ago

A local animal rescue organization receives an average of 0.55 rescue calls per hour. Use the Poisson distribution to find the p

andreyandreev [35.5K]

Answer:

B) 0.894

Step-by-step explanation:

In a Poisson distribution, the probability that X represents the number of successes of a random variable is given by the following formula:

$P(X = x) = \frac{e^{-\mu}*\mu^{x}}{(x)!}$

In which

x is the number of sucesses

e = 2.71828 is the Euler number

$\mu$ is the mean in the given interval.

A local animal rescue organization receives an average of 0.55 rescue calls per hour.

This means that $\mu = 0.55$

Probability that during a randomly selected hour, the organization will receive fewer than two calls.

$P(X < 2) = P(X = 0) + P(X = 1)$

In which

$P(X = x) = \frac{e^{-\mu}*\mu^{x}}{(x)!}$

$P(X = 0) = \frac{e^{-0.55}*(0.55)^{0}}{(0)!} = 0.577$

$P(X = 1) = \frac{e^{-0.55}*(0.55)^{1}}{(1)!} = 0.317$

$P(X < 2) = P(X = 0) + P(X = 1) = 0.577 + 0.317 = 0.894$

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3 years ago