I need help with 2 questions, I don't understand how to do them. Any help would be greatly appreciated!

I Need Help With 2 Questions, I Don't Understand How To Do Them. Any Help Would Be Greatly Appreciated!
I Need Help With 2 Questions, I Don't Understand How To Do Them. Any Help Would Be Greatly Appreciated!

Answers

Answer 1

The length of CE is 3.6 and the radius of the circle is 2

The length of CE

Start by calculating the length of AD using:

AD^2 = AC^2 - CD^2

This gives

AD^2 = 10^2 - 6^2

AD^2 = 64

Take the square roots

AD = 8

Represent CE with x.

So:

AE = 10 - x

Calculate ED using:

ED^2 = CD^2 - CE^2

ED^2 = AD^2 - AE^2

So, we have:

AD^2 - AE^2 = CD^2 - CE^2

This gives

8^2 - (10 - x)^2 = 6^2 - x^2

Expand

64 - 100 + 20x - x^2 = 36 - x^2

Add x^2 to both sides

64 - 100 + 20x  = 36

Evaluate the like terms

20x = 72

Divide by 20

x = 3.6

Hence, the length of CE is 3.6

The radius of the circle

The equation is given as:

x^2 + y^2 + 6x + 5y = -45/4

Rewrite as:

x^2 + 6x + y^2  + 5y = -45/4

Take the coefficients of x and y

Divide them by 2, square the result and add the result to both sides.

So, we have:

x^2 + 6x + (6/2)^2 + y^2  + 5y + (5/2)^2= -45/4+ (6/2)^2 + (5/2)^2

This gives

x^2 + 6x + (6/2)^2 + y^2  + 5y + (5/2)^2= 4

Express as perfect squares

(x + 3)^2 + (y + 5/2)^2 = 4

The circle equation is represented as:

(x - a)^2 + (y - b)^2 = r^2

Where r represents the radius

By comparison, we have:

r^2 = 4

This gives

r = 2

Hence, the radius of the circle is 2

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Related Questions

Which statement BEST summarizes how climate change can affect the mass migration of humans on Earth?

A
Climate change can increase the risks of natural hazards in a location, increasing the number of humans that migrate to it.

B
Climate change can increase the amount of natural resources available in areas, attracting humans to migrate to those locations.

C
Climate change can decrease the carrying capacity of areas, forcing humans to migrate to other locations where their needs can be met.

D
Climate change can decrease the rate of natural processes in a location, causing humans to migrate to areas where processes occur quickly.

Answers

Answer:

A best summarizes how climate change can affect the mass of migration of humans on earth

The statement that best summarizes how climate change can affect the mass migration of humans on Earth is climate change can decrease the carrying capacity of areas, forcing humans to migrate to other locations where their needs can be met. Therefore, option C is correct.

What is migration?

Migration is the process of moving from one place to another for an extended period of time. It can be a temporary or permanent relocation and can occur voluntarily or involuntarily.

People migrate for various reasons, including seeking better economic opportunities, fleeing persecution or conflict, or environmental factors such as droughts or natural disasters.

Migration can occur within a country or across international borders. It can be a personal decision or a collective one, such as when groups of people move together as families or communities.

Migration can have both positive and negative impacts on individuals and society, including economic growth, cultural exchange, and social tensions. It is an important phenomenon that has shaped human history and continues to shape the world we live in today.

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To turn left from a one-way street onto a one-way street, use:

Answers

To turn left from a one-way street onto a one-way street, a driver should use: the lane closest to the left curb.

What is a traffic signal?

A traffic signal is a sign that is erected beside or above roads by a road safety agency, so as to give warnings and instructions to road users such as:

Drivers Pedestrians

At some intersections, a driver should use the lane that is closest to the left curb when turning left from a one-way street onto a one-way street.

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How many liters each of a 50% acid solution and a 75% acid solution must be used to produce 90 liters of a 60% acid solution? (Round to two decimal places if necessary.)

Answers

The numbers of liters that is needed is 40 liters of 25% solution and 40 liters of 65% solution.

What is the litters about?

Note that:

We take x = volume of 25% solution.

We take y = volume of 65% solution.

So, Equation of total volume:

x + y = 80

Hence the equation of amount of acid:

0.25x + 0.65y = 0.45(80)

0.25x + 0.65y = 36

Solve x + y = 80 for x.

x = 80 - y

Then Substitute into the second equation.

0.25(80 - y) + 0.65y = 36

20 - 0.25y + 0.65y = 36

0.4y = 16

y = 40

x + y = 80

x + 40 = 80

x = 40

Therefore, The numbers of liters that is needed is 40 liters of 25% solution and 40 liters of 65% solution.

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How does recycling plastic bags into composite lumber MOST LIKELY benefit ecosystems?

A
Recycling reduces the use of plastic bags.

B
Recycling reduces direct harm to organisms.

C
Recycling reduces mining and drilling for fossil fuels.

D
Recycling reduces carbon dioxide in the atmosphere.

Answers

Answer:

B

Explanation:

B I gotta drag this on to be 20 character apparently so yeah- it’s B

A rainstorm in Portland, Oregon, has wiped out the electricity in about 7% of the households in the city. A management team in Portland has a big meeting tomorrow, and all 6 members of the team are hard at work in their separate households, preparing their presentations. What is the probability that none of them has lost electricity in his/her household? Assume that their locations are spread out so that loss of electricity is independent among their households.
Round your response to at least three decimal places.

Answers

The probability that none of them has lost electricity in his/her household is 64.7%.

Probability

Given:

Electricity wiped =P=7%

Team members= n=6 members

Hence;

P(x = 0) = (6C0)(0.07^0)(1-0.07)^6

P(x = 0)= (1)(1)(0.93)^6

P(x = 0)=0.6469×100

P(x = 0)=64.7%

Therefore the probability that none of them has lost electricity in his/her household is 64.7%.

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Hi, = P(x = 0) = (6C0)(0.05^0)(1-0.05)^6 = (1)(1)(0.95)^6 = 0.735 Edited by abozer on ...

In Center City, the ratio of people to dogs is 4:1, and the ratio of dogs to cats is 3:2. What is the ratio of people to cats?

Answers

Answer:

let's say theres 30 dogs

so 4:1 not simplified is 120:30

the ratio of dogs to cats would be 30:20

(3x10 = 30 and we have to do 2x10 as well which would equal 20)

120:20 would be the Ratio of ppl to cats

simplified

120/20 = 6

20/20 / 1

6:1

Around half of the electricity used in the United States is powered by burning coal. The United States is a developed country with a high level of carbon emissions. Select TWO realistic actions that could help to provide energy for the United States and also help to lower carbon emissions.

A
Create more fossil fuels.

B
Build additional power plants.

C
Reduce the demand for energy.

D
Use renewable sources of energy.

E
Make products that are more efficient.

F
Develop technology to better harvest fossil fuels.

Answers

The two options would be to reduce the demand for energy and or use renewable sources of energy. Options C and D are correct.

How to reduce carbon emission

The burning of fossil fuels such as coal and crude oil-derived fuels generates a large amount of emissions.

In order to cut down on the emission, the demand for energy needs to be lowered by all means. In addition, instead of using fossil fuels, renewable sources of energy can be used.

Greenhouse gases such as carbon dioxide, oxides of sulfur, and water vapor are produced largely as by-products of burning fossil fuels. These gases form a layer in the atmosphere and trap reflected solar radiation.

By doing so, the increase the average annual temperature of the planet (global warming). The warming of the planet has several negative effects on the climate and the ecosystems as a whole.

Renewable sources of energy, on the other hand, have very little to no greenhouse gas emissions.

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According to the text, which THREE phenomena are a direct result of, or are made worse by, human activities?

A
reduction in seasonal river flooding

B
creation of barrier islands

C
fluctuation of sea levels

D
loss of river sediments

E
deposition of delta sediments

F
filling in of wetlands

Answers

Human activities have worsened:

fluctuation of sea levels: Option Creduction in seasonal river flooding; option Closs of river sediments; option D

How does human activity affect the coastal environment?

Human activities have been known to cause or worsen adverse environmental conditions.

Human activities such as overfishing, lack of conservation of water, and pollution of water bodies have resulted in several phenomena such as:

fluctuation of sea levelsreduction in seasonal river floodingloss of river sediments

In conclusion, human activities negatively affect the coastal environment.

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Listed below are body temperatures from five different subjects measured at 8 AM and again at 12 AM. Find the values
of d and s. In general, what does μ represent?
Temperature (°F) at 8 AM 98.4
98.7 97.5 97.3 97.1
Temperature (°F) at 12 AM 99.0 99.3 97.9 96.9 97.5
Let the temperature at 8 AM be the first sample, and the temperature at 12 AM be the second sample. Find the values
of d and
Sd.
(Type an integer or a decimal. Do not round.)

Answers

It should be noted that the sample mean of the difference in temperature will be -0.34.

How to illustrate the information?

From the information given, it should be noted that the difference in the temperatures given are -0.5, -0.6, -0.3, 0.1, -0.4.

It should be noted that d is the sample mean while s is the standard deviation.

Therefore, the sample mean of the difference in temperature will be:

= (-0.5 - 0.6 - 0.3 + 0.1 - 0.4)/5

= -1.7/5

= -0.34

The standard deviation of the difference in temperature will be 0.073.

Lastly, u represents the mean of the difference in body temperature at 8am and 12am of the population of all people.

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According to the text, which THREE phenomena are a direct result of, or are made worse by, human activities?

A
reduction in seasonal river flooding

B
creation of barrier islands

C
fluctuation of sea levels

D
loss of river sediments

E
deposition of delta sediments

F
filling in of wetlands

Answers

THREE phenomena which are a direct result of, or are made worse by, human activities accoding to the text are:

loss of river sedimentscreation of barrier islandsreduction in seasonal river flooding

What are human activities?

Human activities simply refers to those activities or various actions by man for recreation, living, or necessity done by people. Some of those activities results in situations which affects man too

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If warming trends continue, which of the following could happen to the glacial ecosystem? Choose ALL that apply.

A
Glacial runoff will begin earlier in the year, and as a result, streams will also warm earlier. Warmer streams will affect native fish populations.

B
Glacial melt and warmer temperatures will increase humidity levels in the ecosystem. This will decrease fish populations that thrive in colder climates.

C
Glacial loss will cool parts of the ecosystem, but because overall temperatures are warmer, precipitation will increase. Increased rain will raise stream and lake levels and increase fish populations.

D
Glaciers will melt into nearby bodies of water. The water levels will rise and create an overall cooling effect on the ecosystem, resulting in a net zero temperature change. The fish population will be unaffected.

E
Glaciers will melt into nearby oceans, causing the salt levels of the ocean to go down. This will increase the available habitat for fish and cause an increase in the nearby population.

Answers

If global warming trends continues, the options that could happen to the glacial ecosystem are;

"Glacial melt and warmer temperatures will increase humidity levels in the ecosystem. This will decrease fish populations that thrive in colder climates." (Option B)

What is global warming?

Global warming is the name given to the occurrence of the continual melting of the ice cap and the negative effects that this can have on the earth.

Thus, it is right to state that glacial melt will decrease fish populations that thrive in the colder climates.

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Answer: C and E

Explanation:

I just took the test trust

Which BEST describes climate change and least developed countries?

A
Least developed countries are barely affected by climate change because they are surrounded by developed countries.

B
Least developed countries are not affected by climate change because they are not in areas where emissions are high.

C
Least developed countries are the most responsible for climate change because they are the lowest producers of energy.

D
Least developed countries are the most vulnerable to climate change while contributing the least amount of greenhouse gases.

Answers

I am not sure but REALLY think it is D because rest of them just don’t make sense!

How much principal must be
invested to earn $36 in 1/2 a year
at an interest rate of 8%?

Answers

Answer:

Simple interest: $70.56

Annually compounded Interest: $90.65

Explanation:

Answer
900$

let our principal be P
as SI = P x R x T / 100
=> P x 8 x 1 / 100 x 2 = 36
=> 0.04 x P = 36
=> P = 36 / 0.04
=> P = 900$

Which statement about energy usage is supported by the passage?

A
Developed and developing countries use less energy and create less emissions than least developed countries.

B
Developed and developing countries use more energy and create more emissions than least developed countries.

C
All countries, regardless of development, use different amounts of energy but create the same amount of emissions.

D
All countries, regardless of development, use the same amount of energy but create different amounts of emissions.

Answers

Supporting detail is used to show that an original claim is either true or false and it backs the claim up or refutes it,.

What is a Supporting Detail?

This refers to the use of evidence to validate a claim through the use of factual or statistical details.

Hence, we can see that your question is incomplete as the passage was not included, hence a general overview was given.

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If anyone cares to leave( he or she, they) may do so now.

Answers

They because the person speaking is referring to people not a specific gender

Answer:

he or she

Explanation:

the reason is that the question says if anyone and that's a pronoun

what state is called the sunshine state​

Answers

Answer:

Florida

Explanation:

Nickname of U.S. state

Choose THREE agricultural activities that humans perform to minimize their impact on climate change.

A
drain wetlands

B
plant cover crops

C
leave land untouched

D
use additional fertilizers

E
breed drought tolerant plants

F
clear additional land for livestock

Answers

Answer:

B,C and E are the three agricultural activities that humans perform to minimize their impact on climate change.

The following question has two parts. First, answer Part A. Then, answer Part B.

Part A:

Based on the charts in the passage, how has the production of coal and solar energy in California changed between 2005 and 2015?

A
The production of both coal and solar increased.

B
The production of both coal and solar decreased.

C
The production of coal increased, while the production of solar decreased.

D
The production of coal decreased, while the production of solar increased.

Part B:

Which statement BEST explains why the change in coal and solar production most likely occurred?

A
Solar energy technology has improved and increased in capacity, but coal has decreased in capacity because it is a limited resource.

B
Solar energy technology has improved and increased in capacity, while coal has also increased in capacity because new coal forms all the time.

C
Solar energy technology has become too complex and decreased in capacity, but coal has increased in capacity because new coal forms all the time.

D
Solar energy technology has become too complex and decreased in capacity, while coal has also decreased in capacity because it is a limited resource.

Answers

Based on the chart, the correct options are:

The production of coal decreased, while the production of solar increased; option D.Solar energy technology has improved and increased in capacity, but coal has decreased in capacity because it is a limited resource; option A

What is solar energy?

Solar energy is a type of renewable energy from the sun.

Solar energy is gradually being used to replace non-renewable energy sources such as coal.

Based on the chart:

The production of coal decreased, while the production of solar increased; option D.

Solar energy technology has improved and increased in capacity, but coal has decreased in capacity because it is a limited resource.

In conclusion, solar energy production is increasing.

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Which of the following elements must be present on a fertilizer label?
iron
manganese
copper
potassium

Answers

Answer:

 Potassium, Ive learned about this before. Goodluck!

Explanation:

In a​ poll, 1002 adults in a certain country were asked whether they favor or oppose the use of​ "federal tax dollars to fund medical research using stem cells obtained from human​ embryos." Based on the poll​ results, it is estimated that 46​% of adults are in​ favor, with a margin of error of 3 percentage points. Use the given statistic and margin of error to identify the range of values​ (confidence interval) likely to contain the true value of the population parameter

Answers

The range of values likely to contain the true value of the population parameter is from 43% to 49%.

What is Population parameter?

This is referred to a statistical measurement for a particular population and is usually fixed.

We were told that the margin of error is 3 percentage points. This therefore means:

(46 ± 3) % = (46-3)% to (46+3)%

Therefore the range of values is 43% to 49%.

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what is two plus two

Answers

Answer: 4

Explanation:

Two plus two equals four
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