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Therefore, when two lines begin parallel but later diverge, it implies that the geometry involved is non-Euclidean.

I understand that you would like an explanation related to parallel lines in geometry and the final answer should be concise, covering the main point in the last two lines.
In geometry, parallel lines are lines in a plane that never intersect or touch each other at any point. These lines always maintain the same distance from one another. However, if two lines start as parallel but later diverge, it indicates that they are no longer maintaining the same distance from each other. In such a case, the geometry under consideration is non-Euclidean.

Therefore, when two lines begin parallel but later diverge, it implies that the geometry involved is non-Euclidean.

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Answer:

it's B

Step-by-step explanation:

Answer:

B

Step-by-step explanation:

its B

Answer:

Step-by-step explanation:

\begin{align*}

T_{1,1} &= \frac{1}{2} (f(0) + f(1)) \\

&= \frac{1}{2} (1 + \frac{1}{2}) \\

&= \frac{3}{4}

\end{align*}

Now, for two subintervals:

\begin{align*}

T_{2,1} &= \frac{1}{4} (f(0) + 2f(1/2) + f(1)) \\

&= \frac{1}{4} \left(1 + 2 \left(\frac{1}{1 + \left(\frac{1}{2}\right)^2}\right) + \frac{1}{1^2}\right) \\

&= \frac{1}{4} \left(1 + 2 \left(\frac{1}{1 + \frac{1}{4}}\right) + 1\right) \\

&= \frac{1}{4} \left(1 + 2 \left(\frac{1}{\frac{5}{4}}\right) + 1\right) \\

&= \frac{1}{4} \left(1 + 2 \cdot \frac{4}{5} + 1\right) \\

&= \frac{1}{4} \left(1 + \frac{8}{5} + 1\right) \\

&= \frac{1}{4} \left(\frac{5}{5} + \frac{8}{5} + \frac{5}{5}\right)

\end{align*}

Thus, the approximate value of the integral using Romberg's method is T_2,1, and this can also be used to obtain an approximate value of π.

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Answer:

\( m\angle BCA= 33\degree\)

Step-by-step explanation:

\( In\: \odot A\) BC is tangent to the circle at point B.

Therefore, by tangent-radius theorem:

\( \therefore AB\perp BC\)

\( \therefore \angle ABC = 90\degree \)

\( In\: \triangle ABC, \)

\( m\angle ABC +m\angle BAC +m\angle BCA= 180\degree \)

\( 90\degree+57\degree +m\angle BCA= 180\degree \)

\( 147\degree +m\angle BCA= 180\degree \)

\( m\angle BCA= 180\degree - 147\degree\)

\( m\angle BCA= 33\degree\)

Answer:

Step-by-step explanation:

The ratio of the lengths of two corresponding sides of two similar polygons is called the scale factor

Answer: 0.05%

Step-by-step explanation:

Ok, you have 5 tickets with different combinations of 4 numbers of them.

Now, the total number of combinations of 4 numbers (0 to 9) can be found as:

For the first number we have 10 options.

For the second number we also have 10 options.

for the third number we also have 10 options

for the fourth number we also have 10 options.

The total number of combinations is equal to the product of the number of options for each selection, this is:

Combinations = 10*10*10*10 = 100*100 = 10,000.

So out of 10,000 possible combinations, you have 5.

Then the odds of winning is the quotient between the combinations that you have and the total number of combinations: p = 5/10,000 = 0.0005

In percentage form, this is: 0.0005*100% = 0.05%

Answer:

6A7C8B

Step-by-step explanation:

Add them in and try to solve for 7 and 6, for 8. I usually put all number on one side and all x on other side.

Answer:

Step-by-step explanation:

16.76FT^3

Answer:

C)

Step-by-step explanation:

\(x = \frac{\sqrt{a}}{ \sqrt{b}} = \sqrt{\frac{a}{b}}\\\\\)

Both sides take square

\(x^{2}= ( \sqrt{\frac{a}{b}})^{2}=\frac{a}{b}\)

Answer:

D is the answer most  likely your answer

Step-by-step explanation:

3.14x81x6=1526.04 which rounding would be 1526cm^3

Answer:

$430

Step-by-step explanation:

Let the weekly income be x

Money spent on food= $86

% of weekly income spent on food = 20

20% of weekly income in terms = 20/100 * x = x/5

This, income is equal to $86 as given

thus,

x/5 = 86

x = 86*5 = 430

Thus, weekly income is $430.

Answer:

  2. 26.2 m

  3. 117.2 cm

Step-by-step explanation:

You want the perimeters of two figures involving that are a composite of parts of circles and parts of rectangles.

The circumference of a circle is given by ...

  C = πd . . . . . where d is the diameter

The length of the semicircle of diameter 12.6 m will be ...

  1/2C = 1/2(π)(12.6 m) = 6.3π m ≈ 19.8 m

The two lighted sides of the rectangle have a total length of ...

  3.2 m + 3.2 m = 6.4 m

The length of the light string is the sum of these values:

  19.8 m + 6.4 m = 26.2 m

The length of the string of lights is about 26.2 meters.

The perimeter of the figure is the sum of four quarter-circles of radius 11.4 cm, and 4 straight edges of length 11.4 cm.

Four quarter-circles total one full circle in length, so we can use the formula for the circumference of a circle:

  C = 2πr

  C = 2π·(11.4 cm) = 22.8π cm ≈ 71.6 cm

The four straight sides total ...

  4 × 11.4 cm = 45.6 cm

The perimeter of the figure is the sum of the lengths of the curved sides and the straight sides:

  71.6 cm + 45.6 cm = 117.2 cm

The design has a perimeter of about 117.2 cm.

__

Additional comment

The bottom 12.6 m edge in the figure of problem 2 is part of the perimeter of the shape, but is not included in the length of the light string.

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Answer:

D

Step-by-step explanation:

Since it is 28 meters deep, it would be -28. And it increases 0.012 meters per minute, and time is t, so that would be 0.012t. So the equation is 0.012t - 28 = 30.

The 4 steps to solve an equation:

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Answer:

96

Step-by-step explanation:

C= pi x d

= 3 x 32

= 96

The building's residual value is estimated to be $2,400 at the end of its estimated useful life. Therefore, the carrying amount at the end of the fourth year will equal the residual value.

Depreciation is the process of allocating the cost of a non-current asset over its useful life.

The asset's cost minus its residual value is divided by the estimated useful life to determine the annual depreciation expense for each year of the asset's useful life.

The following is a calculation of annual depreciation and the asset's carrying amount over the asset's estimated useful life.

The building's initial cost is $80,400.

The building's estimated residual value is $2,400.The building's estimated useful life is four years.

Depreciation for the year = (Initial cost – Residual value) ÷ Estimated useful life

Depreciation for the year = ($80,400 – $2,400) ÷ 4 years

Depreciation for the year = $19,500

Carrying amount at the end of year 1 = Initial cost – Accumulated depreciation

Carrying amount at the end of year 1 = $80,400 – $19,500

Carrying amount at the end of year 1 = $60,900

Carrying amount at the end of year 2 = Initial cost – Accumulated depreciation

Carrying amount at the end of year 2 = $80,400 – ($19,500 × 2)

Carrying amount at the end of year 2 = $41,400

Carrying amount at the end of year 3 = Initial cost – Accumulated depreciation

Carrying amount at the end of year 3 = $80,400 – ($19,500 × 3)

Carrying amount at the end of year 3 = $21,900

Carrying amount at the end of year 4 = Initial cost – Accumulated depreciation

Carrying amount at the end of year 4 = $80,400 – ($19,500 × 4)

Carrying amount at the end of year 4 = $2,400

The building's residual value is estimated to be $2,400 at the end of its estimated useful life. Therefore, the carrying amount at the end of the fourth year will equal the residual value.

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The equation of line that passes a point (–3, 7) and has slope of 4, in the point-slope form is y - 7 = 4 (x + 3)

A linear equation can be expressed in three forms:

- slope intercept form : y = mx + c

- point-slope form: y - y₁ = m (x - x₁)

- standard form: Ax + By + C = 0

Where:

m = slope

(x₁, y₁) = point on the line

A, B, C are constant

In this problem, the point is (–3, 7) and the slope is 4. Hence,

x₁ = –3

y₁ = 7

m = 4

Plug these parameters into the equation:

y - y₁ = m (x - x₁)

y - 7 = 4 (x - (-3))

y - 7 = 4 (x + 3)

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Answer:

163 times

Step-by-step explanation:

Let us first find how many minutes she was on the International Space Station:

1 hour = 60 minutes

114.1 hours = 114.1 * 60 = 6846 minutes

The station orbits earth every 42 minutes. Therefore, the number of times the station will orbit the earth during her stay is:

6846 / 42 = 163 times

Answer:

28.26

Step-by-step explanation:

We want to find the area of the circle shown.

We can calculate the area of a circle using the formula A = πr²

where r = radius

The circle shown has a given diameter of 6

We want the radius.

To convert diameter to radius simply divide the measure of the radius by 2

So radius = 6 / 2 = 3

Now to find the area we simply plug in the value of the radius into the area of a circle formula

Area of a circle: A = πr²

r = 3

( Note that the question says to use 3.14 for π )

So π = 3.14

* Substitute values *

A = (3.14)(3)²

3² = 9

(3.14)(9) = 28.26

A = 28.26

And we are done!

Answer:

Option (2)

Step-by-step explanation:

All angles are positive when measured counterclockwise from the x-axis.

Terminal side of 240° degrees when measures counterclockwise will lie in the 3rd quadrant.

But the angle is -240°.

That means angle is being measured clockwise from the x-axis.

Therefore, terminal side of the of the angle will be in the 2nd quadrant.

Option (2) will be the correct option.

Answer: 48

Step-by-step explanation:

Answer:

S=2t

or

T=1/2 S

Answer:

36.9%

Step-by-step explanation:

The formula for Percent Error =

[|Approximate value - Actual value|/ Actual value ] × 100

Approximate value = 35 minutes

Actual value = 55.5 minutes

Percent Error =[ |35 - 55.5|/55.5] × 100

Percent Error = |-20.5|/55.5 × 100

Percent Error = 20.5/55.5 × 100

Percent Error = 36.936936937%

Approximately to the nearest tenth = 36.9%

Answer:

the third one

Step-by-step explanation:

it only passes once

We can conclude that C. the neighborhood is significantly less likely to be Democrat.

The null hypothesis was that there is no difference between the proportion of Democrats in the sample and the population. Since the null hypothesis has been rejected, it means that there is a significant difference between the sample and the population proportions. In this case, 60% of the respondents in the random sample are Democrats, which is lower than the 75% Democrat proportion in the community as a whole. Therefore, we can conclude that the neighborhood from which the sample was drawn is significantly less likely to be Democrat compared to the overall community.

The other options are not supported by the given information:

A type I error might or might not have occurred. We cannot determine this based on the information provided. A type I error refers to the incorrect rejection of a true null hypothesis. Without knowing the true proportions of the neighborhood, we cannot determine if a type I error has been committed. Whether a one-tailed test or a two-tailed test was used is not specified in the question.

However, the conclusion that the neighborhood is significantly less likely to be Democrat can be derived from either type of test. Therefore, the correct option is C.

The question was incomplete, Find the full content below:

sixty percent of the respondents in a random sample drawn from a neighborhood are democrats. the community as a whole is 75% democrat. the difference between sample and population has been tested and the null hypothesis has been rejected. what might we conclude? select one:

a. a type i error has been committed

b. a one-tailed test has definitely not been used

c. the neighborhood is significantly less likely to be democrat

d. the difference is not significant

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Answer:

different between the two are that they are am and pm

If queen bee has a colony of 2000 drones and 18000 worker bees, One-sixth (1/6) of the worker bees in the queen bee's colony are drones.

The total number of bees in the queen bee's colony is the sum of drones and worker bees. Therefore, we can calculate the total number of bees as follows:

Total number of bees = number of drones + number of worker bees

Total number of bees = 2000 + 18000

Total number of bees = 20000

Out of the total number of worker bees (18000), 6000 are foragers. Therefore, the number of worker bees that are not foragers is:

Number of worker bees that are not foragers = 18000 - 6000

Number of worker bees that are not foragers = 12000

Now we can find the part of worker bees that are drones by dividing the number of drones by the total number of bees that are not foragers:

Part of worker bees that are drones = number of drones / number of worker bees that are not foragers

Part of worker bees that are drones = 2000 / 12000

Part of worker bees that are drones = 1/6

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