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
cluponka [151]
3 years ago
12

PLEASE HELP! I am extremely confused. I have to finish this by today and there is no one to help me! Please I am begging you! I

need help!
The planets orbit the Sun not in circles but in ellipses, which are “flattened” circles. The Earth’s orbit, however, isn’t flattened much. Its greatest distance from the Sun, 94.5 million miles, differs from its least distance, 91.4 million miles, by only about 3%.

To answer the following questions, make the following assumptions:

a. Summer includes all of the days from June 21 through September 21. During that time Earth travels in a circular orbit with a radius of 94.5 million miles. A year lasts 365 days.

b. Winter includes all of the days from December 21 through March 20. During that time Earth travels in a circular orbit with a radius of 91.4 million miles. The year you will consider lasts 365 days and is not a leap year. Solve. Show your work. Use 3.14 for π.

1. Find the distances that the Earth travels in summer and in winter. Give your answers in millions of miles rounded to the nearest tenth.

2. Find the Earth’s average rate of speed in summer and in winter. Give your answers in millions of miles per day rounded to the nearest hundredth.

3. Find the areas of the sectors that the Earth traverses in summer and in winter. Give your answers in millions of miles squared rounded to the nearest tenth.

Advanced Placement (AP)
1 answer:
FinnZ [79.3K]3 years ago
6 0

Under the given assumptions, summer lasts 93 days (10 days for Jun, 31 days each for Jul and Aug, and 21 days for Sept), and winter lasts 90 days (11 days for Dec, 31 days for Jan, 28 days for Feb, and 20 days for Mar).

1. In the summer, we assume the Earth moves in a circular path with radius 94.5 million mi. In 365 days, the planet would cover a distance equal to the circumference of this circle, 2π * (94.5 million mi), or approximately (using π = 3.14) 593.46 million mi. Summer last 93 days, which is roughly 93/365 = 25.48% of one year. So during the summer, the Earth will traverse about 25.48% of the circumference of its circular path, or

0.2548 * (593.46 million mi) = 151.2 million mi

In the winter, the Earth's path is taken to be a circle of radius 91.4 million mi, so its circumference is 2π * (91.4 million mi) = 573.99 million mi. Winter has a duration of 90/365 = 24.68% of a year, so during winter the Earth travels

0.2468 * (91.4 million mi) = 22.6 million mi

2. The average speed of a body over some time interval is the distance the body travels divided by the duration of time.

During the summer, the Earth moves at an average speed of

(151.2 million mi) / (93 days) = 1.63 million mi / day

During the winter, it moves at a speed of

(22.6 million mi) / (90 days) = 0.251 million mi / day

3. Use the distances/arc lengths found in (1) to determine the measure of the central angle θ subtended by the summer and winter arcs. In either case, the ratio of arc length to circumference is equal to the ratio between the central angle and one complete revolution (2π radians).

By the same token, the ratio of sector area A to the area of the whole circle (πr^2) is proportional to the ratio of the central angle to 2π rad.

Summer:

(151.2 million mi) / (2π * (94.5 million mi)) = θ / (2π rad)

==>  θ = 1.6 rad

A / (π * (94.5 million mi)^2) = (1.6 rad) / (2π rad)

==>  A = 7144.2 million square mi

Winter:

(22.6 million mi) / (2π * (91.4 million mi)) = θ / (2π rad)

==>  θ = 0.2473 rad

A / (π * (91.4 million mi)^2) = (0.2473 rad) / (2π rad)

==>  A = 1033.0 million square mi

You might be interested in
Sunt un june tanar si fericit descopera pleonasmul si rescrie enuntul corect
goldenfox [79]
Jkjgcdxx ghhn bc goddess
3 0
3 years ago
PLZ HELP as a result of the change in the migratory pattern, the two groups of blackcaps(those that migrate to England vs those
9966 [12]

Answer:

b) the effects of local evolution or migration on an exosystem

Explanation:

a) false; symbiosis is the relationship between two species with either a mutual benefit to both creatures, one benefiting and the other remaining neutral, or one being negatively affected while the other benefits. There is no relationship between the two groups of blackcaps to a is false.

b) true; the effects of local evolution or migration on an ecosystem. Local evolution has not occured yet but migration has. The effect that scientists believe may happen to the ecosystem because of the migration is the creation of a new species, which would definitely effect an ecosystem

c) false; biotic factors are the living parts of an environment, such as plants, animals, and insects. The difference in the two groups of blackcaps isn't what biotic factors they use but when their mating season is. Biotic factors have no effect whatsover.

d) false; there are no given alterations in the ecosystem. Migration patterns do not just change because of something as small as a shift in bug population. Migration habits are largely genetic, such as is the case of monarch butterflys migrating from north to south and back across the continent. If a group of blackcaps are migrating somewhere different, it has been ocurring for a while, so it isn't fault of the ecosystem that suddenly made blackcaps switch migration course.

7 0
3 years ago
Read 2 more answers
A quadratic function and an exponential function are graphed below. How do the decay rates of the functions compare over the int
Mashutka [201]

Answer:

Option: D is the correct answer.

D. The exponential function decays at three-fourths the rate of the quadratic function.

Explanation:

8 0
2 years ago
Whats were the main purposes of the counter-reformation
hjlf
The Counter-Reformation<span> (</span>Latin<span>: </span>Contrareformatio<span>), also called the </span>Catholic Reformation<span> (Latin: </span>Reformatio Catholica<span>) or the </span>Catholic Revival,[1]<span> was the period of </span>Catholic<span> resurgence initiated in response to the </span>Protestant Reformation<span>, beginning with the </span>Council of Trent<span> (1545–1563) and ending at the close of the </span>Thirty Years' War<span> (1648). The Counter-Reformation was a comprehensive effort composed of four major elements</span>
7 0
4 years ago
Read 2 more answers
You should present a cogent argument based on your critical analysis of the questions posed, using appropriate psychological ter
miskamm [114]

Answer: A)Control : no photograph

Dependent: whether they returned it or not

Confounding:time of day

B) people have the need to see themselves as righteous so to raise their self esteem and maintain their image they’ll do something good

C)they valued their own interest ?? (Not sure)

D)maybe the ppl who picked up the wallets were young, so the older couple’s photograph would be an out group “them” compared to the young “us”

E)higher

Explanation:

4 0
3 years ago
Other questions:
  • Just need help matching ​
    5·1 answer
  • Which of the following is the best explanation of the difference between prejudice and discrimination? A. Prejudice is an attitu
    11·2 answers
  • Why do Mir and the Space Shuttle employ the low-earth orbit
    11·1 answer
  • PLEASE HELP WILL GIVE BRAINLIEST
    15·1 answer
  • What is the role of a fungus fruiting body
    12·1 answer
  • Answer correclty and explain
    14·1 answer
  • How many career clusters have been identified by the U.S. Department of education
    8·2 answers
  • What was the mission built by the Spanish in east Texas that ended in failure? ​
    12·1 answer
  • How do the living and non-living parts of the environment affect living things
    6·1 answer
  • Hi I'm so bored zHdishxdiwjhi hend dis judge wnucjsuwoxndhd​
    6·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!