MATHEMATICS HIGH SCHOOL

Consider the 1-to10^19 scale on which the disk of the Milky Way Galaxy fits on a football field. On this scale, how far is it from the sun to the alpa centauri (real distance:4.4 light-years) How big is the sun itself on this scale? Compare the sun's size on this scale to the actual size of a typical atom (about 10^-10 m in diameter).

Answers

Answer 1

Answer:

Answer:

Sun is $0.4162708$ cm away from alpha century.

Sun is $1.391016*10^(-10)$ m.

Sun is 1.391016 time the size of an atom at this scale.

Step-by-step explanation:

Light year is a measure of distance. It is the distance light travels in an year.

Light year = $9.4607*10^(12)$ km

So 4.4 light years = $4.4*9.4607*10^(12)$ km

$41.62708*10^(12)$ km

Lets scale this down to the level of $1*10^(-19)$

$41.62708*10^(12)*1*10^(-19)$ km

= $41.62708*10^(-7)$ km

Change the units to centimeters:

$41.62708*10^(-7)*1*10^(5)$ cm

= $41.62708*10^(-2)$ cm

= $0.4162708$ cm

Therefore on the new scale sun is $0.4162708$ cm away from alpha century.

Diameter of the sun is 1.391016 million km

Lets change Sun's diameter to the new scale:

$1.391016*10^(6) *10^(-19)$ km

= $1.391016*10^(-13)$ km

Lets change kilometers in to meters:

$1.391016*10^(-13)*10^(3)$ m

= $1.391016*10^(-10)$ m

Therefore, sun is $1.391016*10^(-10)$ m

and an atom is $1*10^(-10)$

Therefore the sun is 1.391016 time the size of an atom at this scale.

Answer 2

Answer:

Final answer:

On a 1-to-10^19 scale, the distance from the Sun to the Alpha Centauri is about 44 cm. On this same scale, the Sun itself would have a diameter of about 150 picometers, which is larger than a typical atom.

Explanation:

The 1-to-10^19 scale means for every actual meter in space, we represent 10^19 meters on our model. The Alpha Centauri is 4.4 light-years away from the sun. Considering 1 light-year equals to approximately 9.46x10^15 meters, the real distance from the sun to Alpha Centauri is about 4.16x10^16 meters. So, on the scale, this is about 0.44 meters or 44 cm.

The Sun's real size, with a diameter of 1.5 million kilometers or 1.5x10^9 meters, is represented as 1.5x10^-10 meters or 150 picometers on the scale. This is much bigger than an actual atom, which has a diameter of 0.1 to 0.5 nanometers or 100 to 500 picometers. Hence, on this scale, the Sun would be larger than a typical atom.

Learn more about Scale Representation here:

brainly.com/question/38391112

#SPJ11

Related Questions

Help me please please please
The area of a triangle definitely is base x height ➗2 what classic mistake has Anne's made
What is the correct classification of 7x2 + 9x + 4? Select one of the options below as your answer:A. monomial B. binomial C. trinomial
Solve V = LWH for L.
All rectangles are _____.Multiple Chocieparallelograms rhombuses squares quadrilaterals

How do you write(−∞,8),(10,∞),as an inequality? A. x < 8 or x > 10
B. x < 10 or x > 8
C. x < 8 and x > 10
D. x < 10 and x > 8

Answers

Answer:

The answer is the option A

$x< 8$ or $x>10$

Step-by-step explanation:

we know that

The interval -----> (-∞,8)

Is all real numbers less than $8$

$x<8$

The interval -----> (10,∞)

Is all real numbers greater than $10$

$x>10$

The expression (-∞,8) U (10,∞) represent the inequality

$x< 8$ or $x>10$

see the attached figure to better understand the problem

(−∞,8),(10,∞) is equal to x < 8 οr x > 10

Determine the inverse for the function f(x)= 4x+20

Answers

Answer:

6.40

Step-by-step explanation:

Andy,bette,cate,dustin,erik,and franco are rock collectors.Each collector has chosen some rocks from his ir her collection to trade.Each collector is going to trade with every other collector.How many different pairs of collectors will trade rocks?

Answers

Answer: 30 different pairs of collectors will trade rocks

Step-by-step explanation:

Andy,bette,cate,dustin,erik,and franco are six in number

Since each collector is going to trade with every other, the different way of trade will be 6 permutation 2

6P2 = 6!/(6-2)! = (6×5×4!)/4! = 6×5 = 30 ways

Therefore 30 different pairs of collectors will trade rocks

Solve by completing the square
x^2-2x-5=0

Answers

$x^2-2x-5=0 \n x^2-2x+1-6=0\n (x-1)^2=6\n x-1=\sqrt6 \vee x-1=-\sqrt6\n x=1+\sqrt6 \vee x=1-\sqrt6$

Ray hired sun and peter to help him move .Sun charged a $20 flat fee and $30 per hour.Peter charged $25 per hour. Write an expression for ray's total cost if sun and peter each work h hours.

Answers

Answer:

Step-by-step explanation:

Ray hired sun and peter to help him move.

Let h represent the number of hours that each of them worked.

Let y represent Ray's total cost for hiring Sun and Peter for h hours.

Sun charged a $20 flat fee and $30 per hour. The total amount that Sun charges would be

20 + 30h

Peter charged $25 per hour. The total amount that Peter charges would be

25h

An expression for Ray's total cost if Sun and Peter each work h hours would be

y = 20 + 30h + 25h

y = 20 + 55h

Answer:

[20+(30+25)]h or (20+55)h

Step-by-step explanation:

20 will not be changed.

Total cost per hour is 55

add $20

Hope this helps

A recipe for salad dressing calls for 1/4 cup of vinegar. You have 4 cups of vinegar. How many batches of salad dressing could you with the vinegar?

Answers

There are several information’sof immense importance already given in the question. Based on those information’sthe answer can be easily deduced.
Amount of vinegar required for making 1 recipe of salad dressing = 1/4 cup
Amount of vinegar available = 4 cups
Then
The number of salad dressings that could be made = [1/(1/4)] * 4
= 4 * 4
= 16
So 16 salad dressings could be made with the amount of vinegar available. I hope the procedure is clear enough for you to understand.

Other Questions

Which of the following statements is always true?a. Workers being paid on commission make less money than if they are salaried. b. Workers being paid on commission get paid based solely on their performance. c. Workers being paid on commission are stressed over the amount of earnings they will have. d. Workers being paid on commission increase the accounting costs of the employer.

If 6x-4 is 11 less than 25 what is the value of 9x

What is the surface are of a rectangle pool with a lenth of 105 feet and a width of 45 yards?

How can you tell when a quadratic equation has two identical, rational solutions?a) When the radicand is negative b)When b in the quadratic formula is greater than the radicand c)When the radicand equals zero d)When the radicand is not a perfect square