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wlad13
11 days ago
14

Regular Hexagon ABCDEF rotates 240' counterclockwise about its center to produce hexagon A'B'C'D'E'F'. Which points will A' and

B' coincide within the pre image
Mathematics
2 answers:
Svet_ta [9.5K]11 days ago
6 0

Response:

A' will match up with point C in the original figure, while B' will correspond with point D in the original figure.

Detailed explanation:

A Regular Hexagoncan be thought of as a circle segmented into six points along the circumference, which are divided by angles of 60° (remember that 6 times 60° equals 360°).

Next, we label each vertex clockwise as ABCDEF, and then we rotate the hexagon around its center (in a counterclockwise direction)... the original vertices ABCDEF are relabeled as A'B'C'D'E'F' in the newly rotated hexagon.

With a rotation of 240°, the points will align with certain original points: point A will jump four positions, similar to point B.

Hence, point A after rotation, (which is A') will align with point C before the rotation, and point B after rotation, (which is B') will align with point D before the rotation.

zzz [9K]11 days ago
5 0
A' aligns with C and B' aligns with D.
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Answer:

The equation will be altered by doubling the angular velocity of motion, resulting in d(s) = 7·sin(720s)

Step-by-step explanation:

The current equation of the pendulum-like motion of the pocket watch is d(s) = 7sin(360s)

The formula for simple harmonic motion is x = A·sin(ω₁t + ∅)

By comparing, we find;

x = d(s)

A = 7

ω₁t = 360

∅ = 0

The period of oscillation is the duration needed for a complete cycle, calculated as  2·π/ω₁.

Thus;

ω₁ = 2·π/T₁

When the frequency of the swing doubles, the time taken to complete one cycle is halved, hence, the new period is T₂ = T₁/2.

Consequently, ω₂ = 2·π/T₂  = 2·π/(T₁/2) = 4·π/T₁ = 2ω₁.

The revised equation becomes:

x = A·sin(ω₂t) =  A·sin(2ω₁t) leading to;

d(s) = 7·sin(2 × 360s) = 7·sin(720s).

This illustrates the modification due to an increase in the angular frequency of motion.

6 0
20 days ago
One winter day, the outside temperature, y, was never below −1°. The inside of a car was always warmer than the temperature outs
Leona [9271]

Respuesta: Es C

Explicación paso a paso:

Tu gráfico debe ser este, con ambas líneas sólidas, dado que la línea X, o roja, debe estar al menos en -1 o más, y la línea Y, o azul, debe estar en +4 o más

4 0
10 days ago
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Inessa [9000]

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Step-by-step explanation:

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6 0
17 days ago
Integrated circuits from a certain factory pass a particular quality test with probability 0.75. The outcomes of all tests are m
tester [8842]

Answer:

The anticipated number of tests required to identify 680 acceptable circuits is 907.

Step-by-step explanation:

For any circuit, there are two potential results: it either passes the test or it fails. The likelihood of passing is independent between circuits. Therefore, we apply the binomial probability distribution to address this scenario.

Binomial probability distribution

This distribution calculates the chance of obtaining exactly x successes across n trials, where x has only two possible outcomes.

To find the expected number of trials to achieve r successes with a probability p, the formula is given by:

E = \frac{r}{p}

Circuits from a specific factory pass a certain quality evaluation with a probability of 0.75.

Thus, to determine the expected number of tests needed for 680 acceptable circuits, let’s denote this as E where r = 680.p = 0.75

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8 0
8 days ago
True or False: Like the edges of a filled-in area, the endpoints of a polygon do not need to conform to snap points.
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Answer:

The response is "False."

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This clarifies the response.

8 0
1 month ago
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