A figure with length and width, but no depth, is called _ _

Work out the circumference of this circle <br> Give your answer in terms pi<br> Radius 6mm

Paladinen [302]

Answer:

$39.699cm$

Step-by-step explanation:

<h3>Definition(s):</h3>

1. <em>Circumference</em>

The outer boundary, especially of a circular area; <em>perimeter</em>.

2. <em>Radius</em>

A straight line extending from the center of a circle or sphere to the <em>circumference</em> or <em>surface</em>.

__

<h2>solution</h2>

The circumference of a circle can be obtained by using the equation below:

$C=2\pi r$

where the mathematical constant, $\pi$ , has a value of approximately 3.14 and

$r$ represents the radius of the circle.

All we have to do is multiply the given radius by two and multiply that value by $\pi$ to determine C:

$\text{Circumference} = 2\times6cm\times\pi$

$\text{Circumference}=12cm\times\pi$

$\text{Circumference}=37.699cm$

4 0

2 years ago

in the function y=-3x^2+1, what effect does the negative sign have on the graph, as compared to the graph of y=x^2

fgiga [73]

Answer:

see explanation

Step-by-step explanation:

Given a quadratic function in standard form y = ax² + bx + c ( a ≠ 0)

• If a > 0 the the graph has a minimum value ∪

• If a < 0 then the graph has a maximum value ∩

Thus y = - 3x² + 1 ← has a maximum value and

y = x² ← has a minimum value

7 0

4 years ago

In a three digit number, the tens digit is equal to the sum of the hundreds digit and the units digit. The hundreds digit of thi

ExtremeBDS [4]

572

Olive Boi is funny, he answered 123 l m f a o

7 0

3 years ago

Read 2 more answers

. Find the area of the regular dodecagon inscribed in a circle if one vertex is at (3, 0).

devlian [24]

Answer:

Area of the regular dodecagon inscribed in a circle will be 27 square units.

Step-by-step explanation:

A regular dodecagon is the structure has twelve sides and 12 isosceles triangles inscribed in a circle as shown in the figure attached.

Since angle formed at the center by a polygon = $\frac{360}{n}$

Therefore, angle at the center of a dodecagon = $\frac{360}{12}$ = 30°

Since one of it's vertex is (3, 0) therefore, one side of the triangle formed or radius of the circle = 3 units

Now area of a small triangle = $\frac{1}{2}.(a).(b).sin\theta$

where a and b are the sides of the triangle and θ is the angle between them.

Now area of the small triangle = $\frac{1}{2}.(3).(3).sin30$

= $\frac{9}{4}$

Area of dodecagon = 12×area of the small triangle

= 12× $\frac{9}{4}$

= 27 unit²

Therefore, area of the regular octagon is 27 square unit.

4 0

3 years ago

The mean finish time for a yearly amateur auto race was 186.32 minutes with a standard deviation of 0.305 minute. The winning c

uranmaximum [27]

Complete Question

The mean finish time for a yearly amateur auto race was 186.94 minutes with a standard deviation of 0.305 minute. The winning car, driven by Roger, finished in 185.85 minutes. The previous year's race had a mean finishing time of 110.7 with a standard deviation of 0.115 minute. The winning car that year, driven by Karen, finished in 110.48 minutes.

Find their respective z-scores.

Who had the more convincing victory?

A. Roger had a more convincing victory because of a higher z-score.

B. Karen a more convincing victory because of a higher z-score.

C. Roger had a more convincing victory, because of a lower z-score.

D. Karen a more convincing victory because of a lower z-score.

Answer:

The correct option is D

Step-by-step explanation:

From the question we are told that

The mean of the current year is $\mu_c = 186.32 \ minutes$