A model of Earth is located 7600 meters from the Globe Arena in Sweden’s solar system model. The volume of the model is approximately 3052.08 cubic centimeters. What is the length of the radius of the Earth model?

Answer:

Find the circumference,

C = 2πr

Where 'π' is pi (3.14 or 22/70, and 'r' is the radius.

To find the radius of a diameter, you must the half of the diameter:

Diameter/2 = radius

6/2 = 3 is the radius.

Plug this into our formula;

C = 2πr

C = 2 x 3.14 x 3

C = 6.28 x 3

C = 18.84 feet.

Answer:

this table is linear

Step-by-step explanation:

there is a difference of 4 each time

Answer:

linear

Step-by-step explanation:

the difference in x and y values is constant

Answer:

38 inch

Step-by-step explanation:

Answer:

option b

Step-by-step explanation:

It is option b

Your answer is 4(x+1)²

Answer:

B

Step-by-step explanation:

Given functions:

[tex](f \circ g)(x) & =f[g(x)][/tex]

This means substitute the x of f(x) with the function g(x).

[tex]\implies f[g(x)]=4(x+1)^2[/tex]

Answer:

7(3/bc)c

Step-by-step explanation:

3/bc+c+7

(3/bc)c+7

7(3/bc)c

Answer: 3/8

Step-by-step explanation: 6/8 x 2/4 = 3/8

The fraction of attendees of legal age who are women are 3/8

Equation modelling is the process of writing a mathematical verbal expression in the form of a mathematical expression for correct analysis, observations and results of the given problem.

We have in a stadium, 6/8 of the attendees are older and of these 2/4 are women.

The fraction of attendees of legal age who are women are -

2/4 of 6/8

2/4 x 6/8

12/32

3/8

Therefore, the fraction of attendees of legal age who are women are 3/8

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English translation of question -

In a stadium, 6/8 of the attendees are older and of these 2/4 are women, what fraction of the attendees of legal age are women?

Spanish translation of answer -

Tenemos en un estadio, 6/8 de los asistentes son mayores y de estos 2/4 son mujeres.

La fracción de asistentes mayores de edad que son mujeres son:

2/4 de 6/8

2/4 x 6/8

32/12

3/8

Por tanto, la fracción de asistentes mayores de edad que son mujeres son 3/8

Answer:

The correct answers are B & E

Step-by-step explanation:

The cost of adult tickets: 15$ * 2= 30$

The cost of student tickets: 8$ * 20= 160$

=> All the tickets cost 30$ + 160$= 190$

=> Martin still needs 10$ more to buy all of the tickets

Answer:

15.6

Step-by-step explanation:

complementary angles sum up to 90

90-74.4=15.6

therefore the measure of it's complementary angle is 15.6

Answer:

Step-by-step explanation:

We see the segment of length of 3 is divided by 3 and each of units divided by 4.

The number of purple rectangles is 12.

This can be expressed as:

The other options are not matching this model. They all end up with part of the line segment.

Three of them result in 3/4 and one results in 4.

Answer:

14 m²

Step-by-step explanation:

14m² is ur answer

If u need solution do let me know in the comments

Answer:

  6. ∠GHJ ≅ ∠GIJ = 73°

  10.  ∠Q = 89°, ∠R = 123°, ∠S = 91°

Step-by-step explanation:

The relations applicable to these problems are ...

Opposite angles of an inscribed quadrilateral intercept arcs that total 360°, so those opposite angles must total 360°/2 = 180°.

__

The missing arc measure GJ is ...

  68° +31° +115° +GJ = 360°

  GJ = 360° -214° = 146°

Both of inscribed angles GHJ and GIJ intercept arc GJ, so both will have measure ...

  ∠GHJ ≅ ∠GIJ = 146°/2 = 73°

__

∠Q intercepts arc PSR, which is shown as ...

  arc PSR = arc PS +arc SR

  arc PSR = 137° +41° = 178°

The measure of angle Q is half this:

  ∠Q = (1/2)×arc PSR = 178°/2 = 89°

__

∠R is opposite ∠P in the inscribed quadrilateral, so is supplementary to it:

  ∠R = 180° -57° = 123°

__

∠S is opposite ∠Q in the inscribed quadrilateral, so is supplementary to it:

  ∠S = 180° -89° = 91°

Answer:

117

Step-by-step explanation:

we should subtract 63 from 180

so 180 - 63 = 117°

Answer:

D. (-3, 0) (3, 0)

Step-by-step explanation:

An x-intercept is means when the line/shape crosses the x axis, or when y=0

So in this case, we can see that the shape crosses the x axis when

x = -3 and 3

So to put it in coordinate form (x, y)

It is: (-3, 0) and (3, 0)

(Whenever it crosses the x-axis, the y coordinate will always be 0)

Answer:

529.000

Step-by-step explanation:

A decimal number is a number whose whole number and fraction part are separated by a decimal point.

529 represented as a decimal is 529.000

Also, you can add as many zeros as you want behind the decimal point.

Please pick as brainliest!

[tex]\qquad\qquad\huge\underline{{\sf Answer}}♨[/tex]

Let's solve for x ~

[tex]\qquad \sf  \dashrightarrow \:2 \sin(x) + 3 = 4[/tex]

[tex]\qquad \sf  \dashrightarrow \:2 \sin(x) = 4 - 3[/tex]

[tex]\qquad \sf  \dashrightarrow \:2 \sin(x) = 1[/tex]

[tex]\qquad \sf  \dashrightarrow \:\sin(x) = \frac{1}{2} [/tex]

[tex]\qquad \sf  \dashrightarrow \:x = 30 \degree \: \: or \: \: \frac{\pi}{6} \: rad[/tex]

➖➖➖➖➖➖➖➖➖➖➖➖➖➖➖➖➖

The required  linear equation in the form p = mn + b is y = -0.009n + 20

The formula for calculating the linear form of a function is expressed as:

y = mx + b

From the given question

The price and number of shirts can be written in the form (n, p)

The two coordinates required are (1000, 11) and (2000, 2)

Slope  = 2-11/2000-1000
Slope = -9/1000
Slope = -0.009

For the intercept "b"

2 = -0.009(2000) + b

b = 20

The required  linear equation in the form p = mn + b is y = -0.009n + 20

Learn more on linear function here: https://brainly.com/question/15602982

Answer:

g(x)=3x--2

Step-by-step explanation:

please mark me as brainlest

Answer: 48

Step-by-step explanation:

Answer:

Scale (and/or) Scale Factor = 91.44

Step-by-step explanation:

First convert 15ft to cm

15ft = 457.2cm

Now divide the real whale size by the drawing

457.2 / 5 = 91.44

So the scale is 91.44

The whale is 91.44 times bigger than the drawing

Answer:

17.7

Step-by-step explanation:

62.7-45=

17.7

yeah sculpting bears are hard

Answer:

12 because it is a common factor of the denominators

Answer:

178

Step-by-step explanation:

Answer:

The angles measure for x is.... 58 Degrees

Step-by-step explanation:

Something you have to remember with dealing with Triangles is that the three angles will always add up to 180 degrees. so if you have two of the angle already then you can solve for the 3rd one all you have to do is...

add both of the known angles

50 + 75 = 125

Now subtract 180 by 125

180 -125 = 58

Now you have your answer

58 Degrees!!!

Answer:    A

Step-by-step explanation:

Answer:

[tex]\frac{x^2}{25} + \frac{y^2}{16} = 1[/tex]

Step-by-step explanation:

Great, so the question already tells you that you're using the standard form of an ellipse. All you gotta do is apply your knowledge of the characteristics of an ellipse graph.

The standard form of an ellipse is:

[tex]1 = \frac{(x-h)^2}{a^2} + \frac{(y-k)^2}{b^2}[/tex]

[tex]h[/tex] and [tex]k[/tex] are the offset, or the coordinates of the center of the ellipse. The center of the ellipse will always be on (h,k). Now because the question says the center is (0,0), we can make h and k equal to 0 in the equation giving:

[tex]1 = \frac{x^2}{a^2} + \frac{y^2}{b^2}[/tex].

Now, the height of the ellipse will always be equal to 2a. The width will be equal to 2b.

Since we are told what the height and width should be, we can find the a and b values quite easily using algebra.

So first, height:

[tex]10 = 2a\\5 = a[/tex]

Now width:

[tex]8 = 2b\\4 = b[/tex]

Subbing for a and b in the equation give you:

[tex]1 = \frac{x^2}{5^2} + \frac{y^2}{4^2}\\=\\1 = \frac{x^2}{25} + \frac{y^2}{16}[/tex]

First Part

Given that

[tex]Volume = \frac{4}{3} \pi r^{3}[/tex]

We have that

[tex]Volume = \frac{4}{3} \pi r^{3} = \frac{4}{3} \pi (\frac{Diameter}{2})^{3} = \frac{4}{3} \pi 9^{3} = 972\pi cm^{3} \approx 3053.63 cm^{3}[/tex]

Second Part

Given that

[tex]Volume = \frac{4}{3} \pi r^{3}[/tex]

If the Diameter were reduced by half we have that

[tex]Volume = \frac{4}{3} \pi r^{3} = \frac{4}{3} \pi (\frac{r}{2}) ^{3} = \frac{\frac{4}{3} \pi r^{3}}{8}[/tex]

This shows that the volume would be [tex]\frac{1}{8}[/tex] of its original volume

First Part

Gather Information

[tex]Diameter = 18cm[/tex]

[tex]Volume = \frac{4}{3} \pi r^{3}[/tex]

Calculate Radius from Diameter

[tex]Radius = \frac{Diameter}{2} = \frac{18}{2} = 9[/tex]

Use the Radius on the Volume formula

[tex]Volume = \frac{4}{3} \pi r^{3} = \frac{4}{3} \pi 9^{3}[/tex]

Before starting any calculation, we try to simplify everything we can by expanding the exponent and then factoring one of the 9s

[tex]Volume = \frac{4}{3} \pi 9^{3} = \frac{4}{3} \pi 9 * 9 * 9 = \frac{4}{3} \pi 9 * 9 * 3 * 3[/tex]

We can see now that one of the 3s can be already divided by the 3 in the denominator

[tex]Volume = \frac{4}{3} \pi 9 * 9 * 3 * 3 = 4 \pi 9 * 9 * 3[/tex]

Finally, since we can't simplify anymore we just calculate it's volume

[tex]Volume = 4 \pi 9 * 9 * 3 = 12 \pi * 9 * 9 = 12 * 81 \pi = 972 \pi cm^{3}[/tex]

[tex]Volume \approx 3053.63 cm^{3}[/tex]

Second Part

Understanding how the Diameter reduced by half would change the Radius

[tex]Radius =\frac{Diameter}{2}\\\\If \\\\Diameter = \frac{Diameter}{2}\\\\Then\\\\Radius = \frac{\frac{Diameter}{2} }{2} = \frac{\frac{Diameter}{2}}{\frac{2}{1}} = \frac{Diameter}{2} * \frac{1}{2} = \frac{Diameter}{4}[/tex]

Understanding how the Radius now changes the Volume

[tex]Volume = \frac{4}{3}\pi r^{3}[/tex]

With the original Diameter, we have that

[tex]Volume = \frac{4}{3}\pi (\frac{Diameter}{2}) ^{3} = \frac{4}{3}\pi \frac{Diameter^{3}}{2^{3}}\\\\ = \frac{4}{3}\pi \frac{Diameter^{3}}{2 * 2 * 2} = \frac{4}{3}\pi \frac{Diameter^{3}}{8}\\\\[/tex]

If the Diameter were reduced by half, we have that

[tex]Volume = \frac{4}{3}\pi (\frac{Diameter}{4}) ^{3} = \frac{4}{3}\pi \frac{Diameter^{3}}{4^{3}}\\\\ = \frac{4}{3}\pi \frac{Diameter^{3}}{4 * 4 * 4} = \frac{4}{3}\pi \frac{Diameter^{3}}{4 * 2 * 2 * 4} = \frac{4}{3}\pi \frac{Diameter^{3}}{8 * 8} = \frac{\frac{4}{3}\pi\frac{Diameter^{3}}{8}}{8}[/tex]

But we can see that the numerator is exactly the original Volume!

This shows us that the Volume would be  [tex]\frac{1}{8}[/tex] of the original Volume if the Diameter were reduced by half.

The car on a Ferris wheel with a radius of 20 feet. travels a distance of 125.6 feet.

In order to determine the distance that the car has travelled, we will use the formula for calculating the circumference of a circle.

C = 2πr

where

r = radius

Therefore,

r is the radius of the fairy wheel

r = 20 ft

C = 2 × 3.14 × 20

C = 40 × 3.14

C = 125.6 ft

This shows that the car on a Ferris wheel with a radius of 20 feet. travels a distance of 125.6 feet

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Answer:

is f(2)=13 this is the answer because You have to división ir multiplicar ir

Answer:

f(2)=30

Step-by-step explanation:

Khan <3

Answer:

  7/3

Step-by-step explanation:

To write the ratio with no units. we need to have both parts of the ratio in the same units. That way the units cancel.

__

  6 weeks : 18 days = (6×7) days : (6×3) days = 7 : 3

The ratio as a fraction is ...

  (6 weeks)/(18 days) = 7/3

Answer:

33ft

Step-by-step explanation:

1. Work out the missing length.

2.10-3=7 so it is 7.

10+5+8+3+7=33ft