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3 years ago

Tep 1:

1 answer:

6 0

The research shows that the name of the ferris wheel is <u>The London Eye</u> and the diameter of the wheel is 120m.

<h3>What is a research?</h3>

A research is simply carried out to get information about a particular topic or issue.

In this case, the research was conducted on the ferris wheel. The number of cars or compartments is 32.

The circumference of the wheel will be:

= 2πr

= 2π(120/2)

= 377m

The area of the wheel will be:

= πr²

= π(60²)

= 11310m²

The measure of a central angle in degrees will be:

= 360/32 = 11.25 degrees

The measure of a central angle in radians will be:

= 2π(11.25)/360

= 20 radians.

The arc length between two cars or compartments will be:

= 2π(60)(11.25)/360

= 11.78

The area of a sector between two cars or compartments will be:

= π(60²)(11.25)/360

= 353.43

An equation of a circle for your ferris wheel when the center of the ferris wheel is located at (0, 0) on a coordinate grid will be x² + y² = 3600.

Learn more about research on:

brainly.com/question/25257437

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A= 47 sq. in.<br><br> Find the value of x. If necessary, round to the nearest tenth.

motikmotik

Answer:

x = 9.7

Step-by-step explanation:

The area of a triangle is A = b * h / 2 where A, b, and h are the area, base and height respectively. We know that A, b, and h equal 47, x, and x respectively so we can write:

47 = x * x / 2

47 = x² / 2

94 = x²

x = ±√94

In context, x can't be negative so the answer is x = √94 = 9.7.

3 0

3 years ago

Read 2 more answers

After triangle ACE is dilated by a factor of 6, it has an area of 180 square inches. What was its area before dilation?

Agata [3.3K]

Answer:

The area of triangle ACE before dilation is: 30 square inches

Step-by-step explanation:

We know that when an object is dilated by a scale factor, it gets reduced, stretched, or remains the same, depending upon the value of the scale factor.

If the scale factor > 1, the image is enlarged

If the scale factor is between 0 and 1, it gets shrunk

If the scale factor = 1, the object and the image are congruent

The length of the image can be determined by multiplying the length of the original point by a certain scale factor.

Given that after triangle ACE is dilated by a factor of 6, it has an area of 180 square inches.

Thus, it means the dilated area is 6 times the area before dilation.

Let x be the pre-dilation area

As the dilated area is 6 times the area before dilation, so

6x = 180

divide both sides by 6

6x/6 = 180/6

x = 30 square inches.

Therefore, the area of triangle ACE before dilation is: 30 square inches

4 0

3 years ago

Answer the question with explanation;

PSYCHO15rus [73]

Answer:

The statement in the question is wrong. The series actually diverges.

Step-by-step explanation:

We compute

$\lim_{n\to\infty}\frac{n^2}{(n+1)^2}=\lim_{n\to\infty}\left(\frac{n^2}{n^2+2n+1}\cdot\frac{1/n^2}{1/n^2}\right)=\lim_{n\to\infty}\frac1{1+2/n+1/n^2}=\frac1{1+0+0}=1\ne0$

Therefore, by the series divergence test, the series $\sum_{n=1}^\infty\frac{n^2}{(n+1)^2}$ diverges.

EDIT: To VectorFundament120, if $(x_n)_{n\in\mathbb N}$ is a sequence, both $\lim x_n$ and $\lim_{n\to\infty}x_n$ are common notation for its limit. The former is not wrong but I have switched to the latter if that helps.