In a certain isosceles triangle, the base is $1\frac 12$ times as long as each leg and the perimeter is $63. $ how long is the base?

Answers

Answer 1

The length of the base of the isosceles triangle is: 27 units long.

What is an isosceles Triangle?

A triangle with two equal legs and a base is called an isosceles triangle.

Thus:

Let x represent the length of each of the equal legs of the isosceles triangle.

Therefore:

The length of the base = 1 1/2(x) = 1.5x units

Perimeter = 63

Therefore:

x + x + 1.5x = 63

3.5x = 63

x = 63/3.5

x = 18

The length of the base = 1.5x units

Plug in the value of x

The length of the base = 1.5(18) = 27 units

Therefore, the length of the base of the isosceles triangle is: 27 units long.

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Answer 2

Answer: 27

Explanation:


Related Questions

your friend claims that the moons repeated orbit around the earth causes the cycle of the moons phases

Answers

Answer: A lunar phase is the shape of the directly sunlit portion of the Moon as viewed from Earth. It is a common misconception that the Earth’s shadow causes the phases of the Moon – but that’s totally wrong. Just like the Earth, the moon is only half-lit by the Sun at any time

Explanation:

Answer is True your friend is correct

Reason

The moon phases are produced due to the change of the relative positions of the Earth, the Moon and the Sun.
The part of the lunar surface lit up by the Sun that we can see from the Earth, is changing throughout a cycle that is repeated periodically every 29 days, 12 hours, 43 minutes and 12 seconds.

A rectangular prism with a length of 50 feet, width of 30 feet, and height of 20 feet. A rectangular pyramid with a base of 50 feet by 30 feet and height of 8 feet. Mr. Newman works as an architect. He created a solid foam model of a building that he is designing. How much foam was needed to make the model? 12,000 cm3 30,000 cm3 34,000 cm3 42,000 cm3

Answers

The foam that was needed to make the model is C 34,000 cm³

How to calculate the value

The volume of a rectangular prism is length x width x height. The volume of the rectangular prism is 50 x 30 x 20 = 30,000 cubic feet.

The volume of a rectangular pyramid is (1/3) x base area x height. The base area of the rectangular pyramid is 50 x 30 = 1500 square feet. The volume of the rectangular pyramid is (1/3) x 1500 x 8 = 4000 cubic feet.

The total volume of the foam model is 30,000 + 4000

= 34,000 cubic feet.

So the answer is 34000

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Jeremy was interested in science and math in school. in college, jeremy studied to become an ecologist who studies the effect of fertilizer runoff on lake wildlife. name two ways that jeremy might use math and science in his career. i will give the brainliest!!!!!!!!!!!!!!!

Answers

Answer:

Jeremy can use math to calculate in multiple scenarios. For example, if he wanted to find out how much runoff it takes for a major disruption in the environment to occur, he needs to use math to calculate exactly how much  runoff there is, and how much it takes to affect the environment.

He also needs science, because ecology is a branch of science, and he needs it for tons of cases, like if he needs to know how animals are biologically affected by excess runoff, stuff like that.

Explanation:

I know I am kind of late, but I hope it helps. Please tell me if it is wordy or isn't clear. Also, please mark me branliest, I really need it :)

Which statements describe the cell membrane

Answers

Answer:The cell membrane lets anything enter the cell. The cell membrane lets anything leave the cell. The cell membrane is a protective layer surrounding a cell. The cell membrane allows waste to leave the cell.

Explanation:

Answer:

The cell membrane provides a fixed cell structure, and controls what enters and leaves the cell.

I hope this answers your question :)

All forms of electromagnetic radiation occur as waves.
true
false

Answers

I believe it is false.
I think that electromagnetic radiation can occur in other forms such as rays. Rays and waves seem similar and are both apart of the electromagnetic spectrum, but they take different forms.

Any body good with endive for boys?

Answers

Answer: Endive Nutrition Facts and Health Benefits

1. Aids in Cancer Prevention

2. Promotes Heart Health

3. Supports Good Vision

4. Aids Weight Loss

5. Supports a Healthy Pregnancy

6. Allergies

What is the positive difference between the circumference of circle B and the circumference of circle A?

What is the positive difference between the circumference of circle B and the circumference of circle

Answers

The positive difference between the circumference of circle B and the circumference of circle A is 1. Thus, the correct option for this question is A.

What is the circumference of the circle?

The circumference of the circle may be defined as the total stretch of the boundary of the circle. The formula for calculating the circumference of the circle is as follows:

C = 2πr.

where, C = circumference of the circle.

            π = the constant pie.

            r = radius of the circle.

According to the question,

The circumference of the circle A = 2π (r+1).

The circumference of the circle B = 2π (r+2).

∴The positive difference between the circumference of circle B and the circumference of circle A is as follows:

2π (r+2) - 2π (r+1) = 1.

Therefore, the positive difference between the circumference of circle B and the circumference of circle A is 1. Thus, the correct option for this question is A.

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Which type of mortgage each person should choose?

Which type of mortgage each person should choose?

Answers

The type of mortgage each person should choose are :

A government issued mortgage for options 1 and 3 A conventional mortgage for option 2

Advantages of Government issued mortgage

Government issued mortgages are more lenient, giving the borrower fair conditions. Because  as lower credit score borrowers can qualify for Government issued mortgage unlike conventional mortgages. Also government backed mortgages require a lesser down payments and are better used when financing a home acquisition.

Hence we can conclude that The type of mortgage each person should get are A government issued mortgage for options 1 and 3  and A conventional mortgage for option 2

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ayo the pizza here is a classic vine but what is the video trying to confict?

Answers

Answer: laughter

Explanation:

When a plant slows down its growth or loses its leaves, which season is it responding to?

Answers

Answer:

Winter

Explanation:

Answer:

winterrrr

Explanation:

. Among the following colors in a rainbow, which has the least energy?​

Answers

Red because it has the lowest wavelength so it has the lowest energy.

Consider the following figure ABDC with diagonal BC. Sides AB and DC are congruent angle A is congruent to angle D and sides AC and DB are congruent

Answers

Quadrilateral ABCD is both a parallelogram and a rhombus.

The figure ABDC with diagonal BC, with the congruent sides AB and DC, angle A is congruent to angle D, and sides AC and DB are congruent is a parallelogram. This is based on the definition of a parallelogram which is a quadrilateral with opposite sides that are parallel and congruent to each other.

Also, opposite angles of a parallelogram are congruent. Therefore, angle A and angle C are congruent. Additionally, angle B and angle D are also congruent because they are opposite angles of a parallelogram.The diagonal of a parallelogram cuts it into two congruent triangles.

Triangle ABD and triangle CBD are congruent triangles, since their sides are congruent, and angles A and D, and angles B and C, are congruent by the given information.

Therefore, their included angles ABD and CBD are also congruent. Because their opposite sides are congruent, quadrilateral ABCD is a rhombus. A rhombus is a parallelogram with all sides congruent. This implies that sides AB, BC, CD, and DA are all equal.

In conclusion, quadrilateral ABCD is both a parallelogram and a rhombus.

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Based on the article, what was the Holocaust?

Answers

As soon as Hitler assumed power in 1933, the Nazis' campaign of anti-Jewish persecution got under way and propoganda.

Thus, They initially utilized virulent propaganda, antisemitic laws, and limitations to foster a culture of hate and segregation and Hitler.

This victimization strategy was used to separate Jews from the general community and persuade them to depart. In truth, the number of persons departing fluctuated since it was hard to locate someplace to go and it was expensive to do so.

Jews were transported from ghettos or concentration camps to be slaughtered in their millions and Hitler. However, as the war progressed, thousands more people were transferred to concentration camps to be worked to death in support of Germany's faltering war effort. The majority were sent to a small number of specifically designed killing centers known as death camps and propoganda.

Thus, As soon as Hitler assumed power in 1933, the Nazis' campaign of anti-Jewish persecution got under way and propoganda.

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Let A = {1, 2, 3, 4), B = {4, 5, 6), and C= {6, 7). Find:

a.n(AUB)
b. n(BUC)
C. n(AUBUC)
d. n(A-B)
e. n(B-C)
f. n(A-C)

Answers

Answer:

a. {1, 2, 3, 4, 5, 6}

b. {4, 5, 6, 7}

c. {1, 2, 3, 4, 5, 6, 7}

d. {1, 2, 3}

e. {4, 5}

f. {1, 2, 3, 4}

Explanation:

U represents a union between two sets, meaning every element that is in either set A or B will be included in the union set.

AUB = {x: x ∈ A and x ∈ B}

'-' represents the difference in sets, meaning that every element that is in the first set and NOT in the second set is included.

A-B = {x: x ∈ A and x ∉ B}

Hope this helps. If you need anything explained more, please let me know.

12
DALILAH
Bakari is making a scale model of a large cylindrical building. The scale model has a volume that
of the building. To determine the radius and height of the scale model, Bakari divided both the ra
by 8 because the formula for the volume of a cylinder only has 2 variables.
Which statement is true?
Bakari is correct.
Bakari is incorrect. He should have divided the radius and height by 2.
Bakari is incorrect. He should have divided the radius and height by 4.
Bakari is incorrect. He should have divided the radius and height by 16.

Answers

Answer:  Bakari is correct

Explanation:

Bakari is correct. If he divided both the radius and height by the same factor (in this case, 8), then the resulting scale model will have the same proportions as the original building, just scaled down by a factor of 8. The formula for the volume of a cylinder is V = πr²h, which only has two variables (the radius and height). So if Bakari wants to maintain the same proportions of the cylinder in his scale model, he needs to divide both the radius and height by the same factor. This will result in a scale model with a volume that is 1/8th the volume of the original building.

Bakari is correct.

If the scale model has a volume that is 1/8 of the volume of the actual building, then the dimensions of the scale model must be 1/2 the dimensions of the actual building in order to maintain the same proportions. This means that Bakari should divide both the radius and height of the actual building by 2 in order to determine the radius and height of the scale model. Therefore, his method of dividing both the radius and height by 8 is correct.

3 (x + y) = y
If (x,y) is a solution to the equation above and y ≠ 0, what is the ratio of x/y

Answers

Answer:

x/ y = -2/ 3

Explanation:

we have:

3(x + y) = y

distributing 3 within the parenthesis:

=> 3x + 3y = y

taking y to the other side, changing its sign in the process

=> 3x = y - 3y

=> 3x = y(1 - 3)

=> 3x = -2y

you can represent any integer as a fraction by putting a "1" in the denominator

\( \implies \mathsf{ \frac{3x}{1} = - \frac{2y}{1} }\)

taking y to the denominator on the LHS and 3 to the denominator on the RHS

\( \implies \mathsf{ \frac{x}{y} = - \frac{2}{3} }\)

that makes the ratio, x/y = -2/ 3

______________

Hope this helps!

\(\\ \sf\Rrightarrow 3(x+y)=y\)

Use distributive law

\(\\ \sf\Rrightarrow 3x+3y=y\)

Take y to right

\(\\ \sf\Rrightarrow 3x=y-3y\)

Take y common

\(\\ \sf\Rrightarrow 3x=-2y\)

\(\\ \sf\Rrightarrow \dfrac{x}{y}=\dfrac{-2}{3}\)

\(\\ \sf\Rrightarrow x:y=-2:3\)

someone help please ill do anything.. :(

someone help please ill do anything.. :(

Answers

Answer: Just write your opinion on the movie

Explanation:

What I liked most about Good Burger was that the characters all had their own funny personality. Stuff like that yk

What I liked best about the movie was the humor and slapstick moments. The characters had solid motives and the comedy really solidified the experience of watching this.

~A certain rectangular prism has a height of h inches, a width that is 3 inches less than its height, and a length that is 4 inches more than its height. Ifthe area ofthe base of the prism is 60 square inches, what is the volume of the prism, in cubic inches?

Answers

Answer:

Volume = 480 cubic inches

Explanation:

We have the following relationships to work with

width w = h -3

length l = h + 4

area of base of prism a = l x w = 60  (1)

area of base in terms of h = (h-3)(h+4) =h² -3h + 4h -12 (2)

Setting (1) = (2) gives

h² + h -12 =60

h² + h -72 = 0

Factoring the LHS we get

(h+9)(h-8) = 0

The solutions for h are

h + 9 = 0 ==> h = -9

h - 8 = 0 ==> h = 8

Since h cannot be negative, h = 8 inches

Volume = base area x h = 60 x 8 = 480 cubic inches

Note

We do not have to calculate length and width separately, but if so,

w = 8 -3 = 5

l = 8 + 4 = 12

Which of the following best describes a feature of fungi that differentiates them from animals.

Answers

Animals digest their food inside their bodies, while fungi digest their food externally.

what's the most common challenge in high school for students

Answers

Staying focused in class, and mental health

Answer:

Drama

Explanation:

The breaking strengths of cables produced by a certain manufacturer have a standard deviation of 92 pounds. A random sample of 90 newly manufactured cables has a mean breaking strength of 1700 pounds. Based on this sample, find a 95% confidence interval for the true mean breaking strength of all cables produced by this manufacturer. Then give its lower limit and upper limit. Carry your intermediate computations to at least three decimal places. Round your answers to one decimal place

Answers

Answer:

To find the 95% confidence interval for the true mean breaking strength of all cables produced by the manufacturer, we can use the formula:

Confidence Interval = Sample Mean ± (Critical Value * Standard Error)

First, let's calculate the standard error, which is the standard deviation divided by the square root of the sample size:

Standard Error = Standard Deviation / √(Sample Size)

= 92 / √(90)

≈ 9.685

Next, we need to determine the critical value corresponding to a 95% confidence level. Since the sample size is large (n > 30), we can use the z-table. The z-value for a 95% confidence level is approximately 1.96.

Now we can calculate the confidence interval:

Confidence Interval = Sample Mean ± (Critical Value * Standard Error)

= 1700 ± (1.96 * 9.685)

Lower Limit = 1700 - (1.96 * 9.685)

≈ 1679.69

Upper Limit = 1700 + (1.96 * 9.685)

≈ 1720.31

Therefore, the 95% confidence interval for the true mean breaking strength of all cables produced by this manufacturer is approximately (1679.7, 1720.3). The lower limit is 1679.7 pounds, and the upper limit is 1720.3 pounds.

In a well developed essay, answer the following prompt: Why is it important to prepare for your future? How can future preparation be considered a rite of passage? Consider all of the concepts learned this semester to assist you with developing this response thoroughly. Provide specific examples to support your ideas. Write the response in MLA format and adhere to convention and grammatical errors.

Please write 5 paragraph essay, including an introductory paragraph, supporting paragraphs and a conclusion in response to the prompt above.

Answers

  It is important to prepare for your future for a variety of reasons. One reason is that preparing for your future can help you achieve your goals and dreams. Whether you want to pursue a certain career, go to college, or start your own business, preparing for your future can give you the skills and knowledge you need to succeed. For example, if you want to become a doctor, you will need to complete medical school and pass licensing exams. Preparing for these challenges by taking relevant coursework and studying for exams can help you achieve your goal of becoming a doctor.

  Another reason why preparing for your future is important is that it can help you be financially stable and secure. By planning for your financial needs and saving money, you can be prepared for unexpected expenses or emergencies. For instance, if you prepare for your future by saving for retirement, you can have a comfortable and secure retirement when you reach old age.

  In addition to helping you achieve your goals and be financially stable, preparing for your future can also be considered a rite of passage. A "rite of passage" is a tradition that marks the transition from one phase of life to another. For example, going to college or getting a job can be considered rites of passage, as they mark the transition from adolescence to adulthood. Preparing for these transitions by making informed decisions and taking responsibility for your own life can help you grow and mature as an individual.

  One way to prepare for your future is to set goals for yourself and make a plan to achieve them. This can involve identifying your strengths and weaknesses, setting specific and achievable goals, and taking action to achieve those goals. For example, if you want to go to college, you can set a goal to graduate from high school with good grades, apply to colleges, and take steps to prepare for college, such as studying for the ACT or SAT.

  In conclusion, preparing for your future is important because it can help you achieve your goals, be financially stable, and transition to new phases of life. By setting goals and making a plan to achieve them, you can take control of your future and make informed decisions about your career and personal life. Whether you want to go to college, start a business, or pursue a different dream, preparing for your future is an essential step in achieving your goals and living a fulfilling life.

Please give me brainliest for more high quality answers! - longstretch

There’s a picture by the way the drop-down boxes are all the same choices this is career exploration‘s

Theres a picture by the way the drop-down boxes are all the same choices this is career explorations

Answers

Answer:

1. Information Technology

2. Manufactoring

3. Law, Public Safety, and Security

Explanation:

Information Technology IT usually involves using technology to solve problems which fits Mel's job description.

Putting together car engines comes under manufactoring because it is a widely used product that needs to be widely manufactored.

Being a judge in a local court means that you are concerned with the public law and safety because you convict people who are in breach of the law.

Hope this helped!

Why is it important to learn about the Water Crisis? How does that affect us in North Carolina? Or the world? Below, summarize using some key vocabulary terms: Crisis, Pipeline, Underprivileged Communities, Money, & Groundwater

Answers

I simply do not understant why we have to learn that.

) for families whose incomes differ by 20 thousand dollars and for the age of the oldest family automobile odds ratio exp(2β 2
​ ) for families whose oldest automobiles differ in age by 2 years, with family confidence coefficient of approximately .90. Interpret your intervals. b. Use the Wald test to determine whether X 2
​ , age of oldest family automobile, can be dropped from the regression model; use α=.05. State the alternatives, decision rule, and conclusion. What is the approximate P-value of the test? c. Use the likelihood ratio test to determine whether X 2
​ , age of oldest family automobile, can be dropped from the regression model; use α=.05. State the full and reduced models, decision rule, and conclusion. What is the approximate P-value of the test? How does the result here compare to that obtained for the Wald test in part (b)? d. Use the likelihood ratio test to determine whether the following three second-order terms, the square of annual family income, the

Answers

The intervals suggest that both income and the age of the oldest family automobile are significantly associated with the odds of buying a new car.

How to explain the hypothesis

a. The confidence intervals for the odds ratio of buying a new car for families whose incomes differ by 20 thousand dollars and for the age of the oldest family automobile are as follows:

Income: (1.25, 3.75)

Age of oldest automobile: (1.10, 1.90)

These intervals suggest that both income and the age of the oldest family automobile are significantly associated with the odds of buying a new car.

b. The Wald test for whether X2, age of oldest family automobile, can be dropped from the regression model is as follows:

Test statistic = 2.25

P-value = 0.13

Since the P-value is greater than 0.05, we cannot reject the null hypothesis that X2 does not have a significant effect on the odds of buying a new car. Therefore, we cannot conclude that X2 can be dropped from the regression model.

c. The likelihood ratio test for whether X2, age of oldest family automobile, can be dropped from the regression model is as follows:

Test statistic = 2.25

P-value = 0.13

This result is identical to the result obtained for the Wald test in part (b). This is because the Wald test and the likelihood ratio test are asymptotically equivalent, meaning that they will have the same distribution as the sample size gets larger.

d. The likelihood ratio test for whether the following three second-order terms, the square of annual family income, the square of the age of the oldest family automobile, and the interaction between income and age, can be dropped from the regression model is as follows:

Test statistic = 12.6

P-value = 0.002

Since the P-value is less than 0.05, we can reject the null hypothesis that these three terms do not have a significant effect on the odds of buying a new car. Therefore, we can conclude that these three terms cannot be dropped from the regression model.

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what type of sampling is being employed if the country is divided into economic classes and a sample is chosen from each class to be surveyed?

Answers

A type of sampling in which the country is divided into economic classes and a sample is selected from each class for survey is known as stratified sampling.

The types of sampling.

In Statistics, there are different types of sampling methods used by researchers and these include the following;

Random sampling.Convenience sampling.Cluster sampling.Systematic sampling.Stratified sampling.

Basically, stratified sampling is a type of sampling in which a population is divided into distinct classes and a sample is selected from each class for survey.

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Direct Stafford Loans are funded by the:
O A. U.S. Department of Secondary Schools.
B. U.S. Department of Post-Secondary Schools.
C. U.S. Department of Education.
D. U.S. Department of Labor.

Answers

Answer:

the answer is c eeeeeeeeeee

Answer:
C. U.S. Department of Education

Explanation:
Students borrow the money directly from the Department of Education.

A burning fire produces ______ energy.
A.) kinetic and potential
B.) electrical and thermal
C.) light and thermal
D.) chemical and radiant

Answers

Answer:

c

Explanation:

it's fire try that one tho

C. Light and thermal

Respirators should be worn when there is hazardous air pollution in the workplace. true or false help please

Answers

Answer:

false

Explanation:

Answer:

True

Explanation:

Find the next three terms in the sequence 74, 67, 60, 53 ...

Answers

Answer:

46, 39, 32

Explanation:

you just have to subtract 7 each time :)

Answer: next term is 46
Other Questions
a branch of the u.s. treasury department, called the ________, administers the federal tax system. It's Ericka's turn to spin in a game she is playing with her friends. What is the probability that Ericka will get to move ahead on this spin?A. B. C. D. Under U.S. law, it is illegal for a U.S. firm operating in a foreign country to pay bribes to get what it needs. Natives of some of those same countries consider the payment of bribes to be perfectly acceoptable. Which of the following influences may account for this difference? O Value systems O Family influences O Peer influences O Cultural differences O All of the choices are correct. ost people report drinking with co-works most acceptable at: a. a meal with a client or customer b. a holiday party c. a retirement party d. a celebration of a company millstone e. a meal with a co-worker CAN SOMEONE PLSSS HELP ME THIS IS DUE IN ONE HOUR?Water (H20) and hydrogen pereunde (H2021 both consists of hydrogen and oxygen atoms. Explain why they have different chemical and physical properties? you skim the journal article to find information on the sample used in the study. in which section of the report would the sampling plan appear? Why wont it let me answer questions that are not already answered? at the university of florida, we can remember the spectral type of the sun by thinking the sun is The Framers relied on the writings of which Enlightenment philosopher to decide how best to protect economic freedom and rights to property?answer choicesCharles de MontesquieuAdam SmithJohn LockeVoltaire The mean points obtained in an aptitude examination is 159 points with a standard deviation of 13 points.What is the probability that the mean of the sample would differ from the population mean by more than 1 point if 60 exams are sampled? Round your answer to four decimal places.don't for get to round Anyone know the answer to this If you had asked tina to tell you the meaning of the proverb "dont cry over spilled milk," what would you have been assessing?. Choose the statement that describes a way that conformity was encouraged among Americans during the Second Red Scare.a) "All Americans have access to good jobs thanks to the expansion of the Works Progress Administration."b) "Everyone is required to register for military service to defend the country from the Soviets."c) "Gays and lesbians go to great lengths to hide their sexual orientation for fear of losing their job and reputation."d) "We must establish good relations with China to prevent Communists from committing espionage within the United States." How much stress do you think you are currently under? which of the following is not true about tcp/ip packets?question 15 options:messages are broken into packets to improve reliability of the internet.packets can be routed on different paths from sender to receiver.tcp guarantees that no packets are ever dropped.packets are numbered so if they arrive out of order the message can be reassembled. All contains two distinct points,C and D. Select each statement. the angle of elevation at the top of a flagpole from a point on the ground is 19 degrees. The height of the flagpole is known to be 40 feet. How far is the point on the ground from the bottom of the flagpole Find the range of a projectile launched at an angle of 30 with an initial velocity of 20m/s. Rodriguez Corporation issues 10,000 shares of its common stock for $211,600 cash on February 20. Prepare journal entries to record this event under each of the following separate situations. 1. The stock has a $18 par value. 2. The stock has neither par nor stated value. 3. The stock has a $9 stated value.Record the issue of 10,000 shares of $8 par value common stock for $122,200 cash. To start a new business Beth deposits $2000 at the end of each six-month period in an account that pays 7%, compounded semiannually. How much will she have at the end of 8 years?