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andrey2020 [161]
2 years ago
8

Which statements about the clock are accurate? Select three options. The central angle formed when one hand points at 1 and the

other hand points at 3 is 30°. The circumference of the clock is approximately 62.8 inches. The minor arc measure when one hand points at 12 and the other hand points at 4 is 120°. The length of the major arc between 3 and 10 is approximately 31.4 inches. The length of the minor arc between 6 and 7 is approximately 5.2 inches.
Mathematics
2 answers:
Svet_ta [14]2 years ago
8 0

Answer:

2,3,5

EDGE 2021

Step-by-step explanation:

Kitty [74]2 years ago
7 0

Answer:

Option 2, 3 and 5 are correct.

Step-by-step explanation:

Given question is incomplete, here is the complete question.

The face of a clock is divided into 12 equal parts.

Which statements about the clock are accurate? Select three options.

The central angle formed when one hand points at 1 and the other hand points at 3 is 30°.

The circumference of the clock is approximately 62.8 inches.

The minor arc measure when one hand points at 12 and the other hand points at 4 is 120°.

The length of the major arc between 3 and 10 is approximately 31.4 inches.

The length of the minor arc between 6 and 7 is approximately 5.2 inches.

Option 1. "Central angle when one hand points at 1 and the other hand points at 3."

Since, face of the clock has been divided in 12 equal parts.

So, central angle at the center for each part = \frac{360}{12}

                                                                          = 30°

Number of parts between 1 and 3 = 3

So central angle between 1 and 3 = 3 × 30°

                                                        = 90°  (False)

Option 2. "Circumference of the clock = 62.8° inches."

Formula to be used

Circumference = 2πr of a circle

r = radius of the circle

Therefore circumference of he circle = 2π(10)

                                                              = 20π

                                                              = 62.8 inches (True)

Option 3. "Minor arc measure when one hand points at 12 and the other hand points at 4 is 120°."

Number of parts between 12 and 4 = 4

So Central angle formed = 4 × 30°

                                         = 120° (True)

Option 4. "Length of major are between 3 and 10 = 31.4 inches."

Number of parts between 3 and 10 = 7

Central angle formed by hands = 7 × 30°

                                                    = 210°

\text{Length of arc}=\frac{\pi }{360{^\circ}} \times (2\pi r)

                    =\frac{210}{360}\times (2\pi )(10)  

                    = 39.65 inches  (False)

Option 5. "The length of the minor arc between 6 and 7 is approximately 5.2 inches."

Number of parts between 6 and 7 = 1

Central angle between 6 and 7 = 30°

Length of minor arc = \frac{30}{360}\times (2\pi )(10)

                                 =\frac{20\pi }{12}=5.24

                                 ≈ 5.2 inches (True)

Option 2, 3 and 5 are correct.

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Answer:

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Step-by-step explanation:

Given

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7 0
3 years ago
Can anyone help me with this problem
8_murik_8 [283]
They way I would do it other than with a calculator would be
27 x (90 - 0.5) which is the same as 27 x 89.5
=> 27 x 90 - 27 x 0.5
27 x 90 is (3 x 9) x 90 or 3 x 9 x 90
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3 x 810 = 2430
Then subtract 27 x 0.5, or 27 / 2
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Step-by-step explanation:

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Answer:

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Step-by-step explanation:

A differential of length in terms of t will be ...

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It is convenient to let a spreadsheet or graphing calculator do the function evaluation and summing of areas.

__

The attachment shows the curve c(t) whose length we are estimating (red), and the differential length function (blue) we are integrating. We use the function p(n) to compute the midpoint of the sub-interval. The sum of sub-interval areas is shown as 34.43.

The length of the curve is estimated to be 34.43.

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