1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
andrew-mc [135]
3 years ago
14

HELP URGENT PLEASE

Mathematics
1 answer:
ki77a [65]3 years ago
5 0

Answer:

A)

15 hours

B)

108 hours

C)

2074.29 miles

Step-by-step explanation:

Under the assumption the earth is a perfect circle, then in one complete rotation about its axis ( 24 hours) the Earth will cover 360 degrees or 2π radians.

A)

In every 24 hours the earth rotates through 360 degrees ( a complete rotation). We are required to determine the length of time it will take the Earth to rotate through 225 degrees. Let x be the duration it takes the earth to rotate through 225 degrees, then the following proportions hold;

(24/360) = (x/225)

solving for x;

x = (24/360) * 225 = 15 hours

B)

In 24 hours the earth rotates through an angle of 2π radians (a complete rotation) . We are required to determine the length of time it will take the Earth to rotate through 9π radians. Let x be the duration it takes the earth to rotate through 9π radians, then the following proportions hold;

(24/2π radians) = (x/9π radians)

Solving for x;

x = (24/2π radians)*9π radians = 108 hours

C)

If the diameter of the earth is 7920 miles, then in a day or 24 hours a point on the equator will rotate through a distance equal to the circumference of the Earth. Using the formula for the circumference of a circle;

circumference = 2*π*R = π*D

                         = 7920*3.142

                         = 24891.43 miles

Therefore a point on the equator covers a distance of 24891.43 miles in 24 hours. This will imply that the speed of the earth is approximately;

(24891.43miles)/(24 hours) = 1037.14 miles/hr

The distance covered by the point in 2 hours will thus be;

1037.14 * 2 = 2074.29 miles

You might be interested in
Marion left out reasons from her proof. Which reason best supports the statement?
Tpy6a [65]
Corresponding angle postulate
3 0
3 years ago
Consider the set consisting of the first 10 positive whole numbers​ (that is, 1-10). Complete parts​ (a) through​ (c) below.
slamgirl [31]

Answer:

a) {4,5,6,7,8,9,10}

b) {1,2,3,4,5}

c) {4,5,6}

5 0
3 years ago
How to write one times one +nine times (1/100) in standard form
Genrish500 [490]
1*1+9∗0.001


Hope this helps
8 0
3 years ago
You are the crew chief of the Algebra 2 formula racing team. Your current tasla is to determine fuel consumption of both cars. C
noname [10]

Answer:

                                         

Step-by-step explanation:

5 0
3 years ago
For which of the following compound inequalities is there no solution?
Alexxx [7]

Answer: -4m-10< -22 and -8>22

Step-by-step explanation:

3 0
3 years ago
Other questions:
  • Which features are present in this polar graph?
    10·1 answer
  • Can you help me with this problem I can't find it out
    8·2 answers
  • Write the slope-intercept form of the equation for the line.
    11·1 answer
  • What are 3 angles that are congruent to &lt;4
    8·1 answer
  • Ciaran scores 76% work out 76% of 75 marks <br><br> Help pls
    10·1 answer
  • In right triangle XYZ, the right angle is located at vertex Y. The length of line segment XY is 12.4 cm. The length of line segm
    9·1 answer
  • Penelope determined the solutions of the quadratic function by completing the square.
    5·1 answer
  • HEEEEELP please i need it
    13·2 answers
  • Find the factors of f(x) given that x = 5 is a zero.
    14·1 answer
  • A box of 125 packets of artifical sweetener sells for 3.99
    5·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!