A parking lot in the shape of a trapezoid has an area of 12,052.1 square meters. the length of one base is 82.4 meters, and the length of the other base is 108.6 meters. what is the width of the parking lot?

Answers

Answer 1

Answer:

When you solve for the area of a trapezoid, you have this formula:

A = ((a + b)/2) * h

where: a & b are the bases ; h is the height

We just plug in the figures on the formula to get the needed information.

A = 12,052.10 square meters

a = 82.4 meters

b = 108.6 meters

12,052.10 = ((82.4 + 108.6)/2) h

12,052.10 = 191/2 * h

12,052.10 = 95.5 * h

12,052.10 / 95.5 = h

126.2 = height

The height of the parking lot is 126.20 meters.

Explanation:


Related Questions

4. 1 1 describe two ways how social media platforms are abused

Answers

Hi, here are the ways social media platform are abused:

Sends you unwanted, explicit pictures and demands you send some in return. Pressures you to send explicit videos.

Hope this helps! Please correct me if I am wrong.

A bag contains 6 red marbles, 4 blue marbles, 7 green marbles, and 3 yellow marbles

Answers

Answer:

20 marbles

Explanation:

6 red marbles

4 blue marbles

7 green marbles

3 yellow marbles

6+4+7+3=20

Suppose that the rabbit population on mr. jenkins' farm follows the formula

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Jenkins' farm tracks the procedure p(t)=3000tt+1. where t≥0 is the period (in months) since the start of the year.

As time (t) increases, the rabbit population (p(t)) will also increase, but it will approach a maximum value without ever actually reaching it, resulting in continuous growth that slows down over time.

We have,

Given formula: p(t) = 300t / (t + 1)

As time (t) increases, the denominator (t + 1) also increases.

The rabbit population (p(t)) is calculated by dividing 300t by (t + 1).

Now, let's examine the behaviour as t becomes larger:

When t is very small (close to 0), the population p(t) is also small, since the denominator (t + 1) is close to 1.

As t increases, the denominator (t + 1) grows, causing the value of p(t) to increase.

However, the rate of increase slows down as t gets larger.

This is because the denominator grows faster than the numerator (300t).

Eventually, as t becomes very large, the value of p(t) approaches but never quite reaches a maximum value.

This behaviour is characteristic of a rational function where the numerator's growth is outpaced by the denominator's growth, resulting in an asymptotic approach to a certain value.

Thus,

As time (t) increases, the rabbit population (p(t)) will also increase, but it will approach a maximum value without ever actually reaching it, resulting in continuous growth that slows down over time.

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The complete question:

Population Growth Suppose that the rabbit population on Mr. Jenkins’ farm follows the formula p(t) = 300t / (t + 1)

where t ≥ 0 is the time in months since the beginning of the year.

(a) Draw a graph of the rabbit population.

(b) What eventually happens to the rabbit populations.

What are the domain and range of f (x) = log (x minus 1) + 2?

Answers

What are the domain and range of f (x) = log (x minus 1) + 2? It’s -6

[tex]log(x - 1) + 2[/tex]

Domain:The condition of log functions, is to set what's in between the brackets as being strictly greater than 0.

[tex]x - 1 > 0[/tex]

[tex]x > 1[/tex]

Domain:

[tex]1 < x < \infty [/tex]

Range:The range of log functions is all real numbers:

[tex] - \infty < f(x) < \infty [/tex]

A project whose positive exceed its is more likely to be enacted that one that is the opposite

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It is true that a project whose positive exceeds its negative is more likely to be enacted than one that is the opposite.

What does project means?

A project is defined as a sequence of tasks that must be completed to attain a certain outcome. The aim of any project should be to infuse positivity and valuable contributions to society.

If the pros of a project exceed its cons, it will most likely be accepted and utilized because of the usefulness it serves.

Hence, it is true that a project whose positive exceeds its negative will be more likely to be enacted.

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Based on the context clues, what is the meaning of the word maritime in the passage? bordering the sea; nautical over-scheduled characterized by calm; restful accurate or specific

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The meaning of the word maritime in the passage based on the context clues is: Bordering the sea; nautical.

What are context clues?

Context clues are defined as hints that are seen within a paragraph or passage of a text which aids the reader in understanding certain words or events taking place in the text. Thus, context clues will help the readers to fully grasp what the text is all about.

Finally, in the given passage we see that the word "maritime" is based on the context clues that means bordering the sea; nautica

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Answer:

A - Bordering the sea; nautical

Explanation:

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Algebra 2 volume 2 houghton mifflin harcourt answers pdf

Answers

Algebra is a way we solve mathematical equations and the solution to the Algebra 2 in volume 2 exercise in the Hughton Mifflin pdf is 6.

What is algebra?

Algebra is a field of mathematics that aids in the presentation of word problems using mathematical expressions.

To construct a meaningful mathematical expression, variables (e.g. a,b, and c, etc) are combined with mathematical operations such as addition, subtraction, division, and multiplication.

From Algebra 2 volume 2 Mathematics: Chapter 12, Excercise 6, we have:

Find f(3) in f(x) = 0.75(2)ˣ  

We will replace x with (3) wherever we find (x)

So, f(3) = 0.75(2)³f(3) = 0.75(8)f(3) = 6

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10.1 inverses of simple quadratic and cubic functions answers

Answers

The  inverses of simple quadratic and cubic functions are known to be a form of inverse relationship where one variable is said to increase while the other decreases.

What is the simplest quadratic relation?

A quadratic equation is known to be a type of an equation that belongs to the second degree. It implies that  it has at least one term that is often squared.

Recur that an  an inverse relationship consist of a variable that is known to often increases the other variable is one that often decreases.

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Does a geometric series always have a finite value?

Answers

Answer:

Yes.

Explanation:

A geometric series has a finite value only when the common ratio, r, is – 1. What is the sum of infinite series? An infinite series has an infinite number of terms. The sum of the first n terms, Sn, is called a partial sum.

If 45 ml of water are added to 250 ml of a 0. 75 m k2so4 solution, what will the molarity of the diluted solution be?

Answers

Answer:

0.64M

Explanation:

The perimeter of sophia's garden is 42 m the garden is 6 m wide what is the length of the garden

Answers

Answer:

30?

Explanation:

thats if it is a rectangle

The size of a tv screen is given by the length of its diagonal

Answers

True, the diagonal is usually described as the dimensions

One of the largest quakes ever recorded in modern times took place in southern Chile and measured 9.5 on the Richter scale.

What does the Richter scale measure?

Answers

The Richter scale measures the largest wiggle (amplitude) on the recording, but other magnitude scales measure different parts of the earthquake. The USGS currently reports earthquake magnitudes using the Moment Magnitude scale, though many other magnitudes are calculated for research and comparison purposes.

8-1 find a place to live financial algebra answers

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An example of 8-1  financial algebra question is in stock market, what does the term Perspiration implies.

The term perspirations connote sweating or hard work.

What does financial algebra implies?

The term Financial Algebra is known to be a type of course that is designed for student so as to have a good foundation in logical thinking and problem solving that will help them to make good decisions regarding  money and finance.

The term perspirations connote sweating or hard work and as such, using the stock market definition, it implies that one being a genius is not just all about having good ideas, but it entails working hard and also having good idea along with it.

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Compare and contrast how the elements are used in the different genres this hybrid uses metric formats to tell a true story.

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The way elements are used in the different genres is that Genre as it s made up 4 elements such as character, story, plot and setting, they are said to be mixed up together.

They can be mixed up as Story (Action) + Plot + Character + Setting = Genre.  Some other kinds of genres are crime, war, spy, adventure, etc.

Note that a lot of genres or forms of literature often depicts themes or topics in a  different way.

To Compare and Contrast genre, one must shows what is similar and what is different about the genre in question. Knowing how the genres are alike and difference can helps a person to have a better study of genre.

What is the differences in the use of genre/

A lot of sub-genres of comedy are known to be different from one another when one looks at the fluctuations in terms of the characters and the story.

The Characteristics of Genre are:

Form: This shows one how a writer makes, structures, and put together a written work. Style: This is known to be a method used by writer in terms of words and language to pass out meaning, mood, etc.Subject: This is known to be the main topic the genre is based on, etc.

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Consider a buffer made by adding 132.8 g of nac₇h₅o₂ to 300.0 ml of 2.31 m hc₇h₅o₂ (ka = 6.3 x 10⁻⁵) what is the ph of the buffer after 0.750 mol of h⁺ have been added?

Answers

The ph of the buffer solution given after 0.750 mol of H⁺ have been added is; 4.34

What is the PH of the Buffer?

pKa = -log(Ka) = 4.20

[A⁻] = [NaC₇H₅O₂]

[HA] = [HC₇H₅O₂]

Concentration of NaC₇H₅O₂ in the preferred buffer solution is;

[132.8g/(144.11 g/mol * 300 mol)] * 1000 mL/1 L = 3.07 M

Formula for the PH here is;

pH = pKa + log [A⁻/HA]

Thus;

pH = -log(6.3 x 10⁻⁵) + log [3.07/2.31]

pH = 4.34

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Of the 10,000 clocks from which the sample was chosen, about how many clocks are probably not defective?

Answers

The number of clocks that are not defective is an illustration of proportions

Of the 10000 clocks, 9250 are probably not defective

How to determine the number of clocks that are not defective?

From the complete question, we have the following parameter:

15 out of 200 clocks are defective

The above means that the number of clocks that are not defective is:

Not defective = 200 - 15

Not defective = 185

Express as percentage

Not defective = 185/200

Not defective = 92.5%

In 10,000 the number of clocks that are not defective would be:

Not defective = 92.5% * 10000

Not defective = 9250

Hence, 9250 of the 10000 clocks are probably not defective

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The lengths of the diagonals of a rhombus are 18 and 24

Answers

The length of each of the sides of the rhombus is 15.

This question is incomplete, the complete question is:

The length of the diagonals of a rhombus are 18 and 24. Find the length of each side of the rhombus

Given the data in the question;

Diagonal 1 of the rhombus; [tex]p = 18[/tex]Diagonal 2 of the rhombus; [tex]q = 24[/tex]Length of each side of the rhombus; [tex]a = \ ?[/tex]

Rhombus

A Rhombus is simply a quadrilateral whose four sides are all equal in   length i.e its an equilateral quadrilateral.

Now, to determine the length of each sides of the rhombus, we create ab expression from Pythagoras theorem:

[tex]a = \frac{\sqrt{p^2+q^2} }{2}[/tex]

Where a is the length of the sides and pq are the diagonals.

We substitute our given values into the expression above.

[tex]a = \frac{\sqrt{p^2 + q^2} }{2} \\\\a = \frac{\sqrt{18^2 + 24^2} }{2}\\ \\a = \frac{\sqrt{324 + 576} }{2}\\ \\a = \frac{\sqrt{900} }{2}\\ \\a = \frac{30}{2}\\ \\a = 15[/tex]

Therefore, the length of each of the sides of the rhombus is 15.

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the growth of squatter settlements within urban areas in latin america, as shown in the photograph, can be explained by rapid migration to cities and the

Answers

The growth of squatter settlements within urban areas in Latin America can be explained by rapid migration to cities and the lack of suitable regulations.

What is an informal settlement?

An informal settlement is an illegal occupation of public and/or private areas by people who generally do not have a proper home to live in.

The uncontrolled proliferation of illegal settlements is due to the lack of public policies aimed at regulating this type of occupation.

The lack of homes is a real problem in many countries around the world, especially in Latin America.

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Imagine that we randomly select a day from the past 10 years

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Answer:

which day will you select?:-)

Among all pairs of numbers whose difference is 14 find a pair whose product is as small as possible

Answers

The pair two numbers whose difference is 14 and the product is as small as possible (i.e. -49) are (-7,7)

What are word problems?

In mathematical concepts, word problems involve a crucial understanding of the problem and knowing which mathematical method and arithmetic operations are best suited to solving the problem.

If we assume that the smaller number should be = a and the larger number = a + 14.

Thus, their product (X) can be expressed as:

= a(a+14)

= a² + 14a

The smallest possible value implies the minimum value, i.e.

[tex]\mathbf{\dfrac{dX}{da} = 2a + 14}[/tex]

Thus,

2a + 14 = 0

a = - 14/2

a = -7

Therefore, we can conclude that the pair of two numbers whose difference is 14 and the product is as small as possible (i.e. -49) is (-7,7).

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Four-year-old rebecca states that the two lines in set a have the same number of dots but that the second line in set b has more dots than the first line has. rebecca’s inability to report that the two rows in set b contain the same number of dots reflects a lack of

Answers

An inability to report that the two (2) rows in set B contain the same number of dots by Rebecca reflects a lack of conservation.

What is cognitive development?

Cognitive development refers to the development of learning skills, thought processes, knowledge and problem-solving abilities in living organisms such as humans, especially from infancy through adulthood.

In Psychology, conservation can be defined as a logical thinking ability that allows a living organism to understand that physical quantities such as lines, doesn't change in amount even when their appearance are altered.

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A new suv depreciates in value each year by a factor of 15

Answers

The expected value of a car worth $25,000 after 5 years will equals to $11,093.

What is the formula for compound interest?

[tex]A = P (1 + r/n)^ni[/tex] where p = $25,000, r= 0.15, i = 1, i = 5

A = 25000* (1 + -0.15/1)^5*1

A = 25000*(0.85)^5

A = 25000*0.4437053125

A = 11092.6328125

A = $11,093

Hence, the expected value of a car worth $25,000 after 5 years will equals to $11,093.

Therefore, the Option B is correct.

Full question "What is the expected value of a $25,000 car after 5 years (rounded to nearest whole dollar)? A) $20750 B) $11093 C) $9429 D) $6250?

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south american country that hosted the first fifa world cup

Answers

Answer:

URUGUAY

Explanation:

Which of the statements describes that a quadrilateral is a parallelogram

Answers

I don't see the choices, but I will give you some definitions which can hopefully help you

Definition of Parallelogram: a quadrilateral that has two pairs of opposite sides are parallel

Hope that helps!

6-4 practice elimination using multiplication answers

Answers

Multiplication as a method of elimination is used to eliminate an unknown in a system of equations by multiplying one of the equations by a constant.

What is the Gauss method?

It is the method of eliminating unknowns that transforms a linear system into a triangular system, so that it is possible to solve the problem with retroactive resolution. Like for example:

2x+3y=143x-4y=4

A) The first step is to solve equation 2 to find the variable x.

3x=4y+4x=4y/3+4/3

B) The second step is to include the variable x found in equation 1.

2x(4y/3+4/3)+3y=14

17y/3=34/3

17y=34

C) The third step is to solve equation 1 to find the variable y.

17y=34y=2

D)Now that we've found the value of y, we can solve equation 1 to find the value of x.

x=4/3x(2)+4/3=4

Therefore, if the value of x is 4 and the value of y is 2, the solution of this exercise, using the Gauss method is (4;2).

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If a circle is circumscribed about a polygon, then the polygon is

Answers

A circle is circumscribed about a polygon if the polygon's vertices are on the circle. For triangles, the center of this circle is the circumcenter. A circle is inscribed a polygon if the sides of the polygon are tangential to the circle. For triangles, the center of this circle is the incenter.  

hope this helps

Suppose you are standing in the middle of the platform

Answers

The question is about the angle of depression (see full question below). Please note that the correct answer, that is, the angle of depression from the platform to the center of the bridge, is 16.6⁰.

What is the solution for the Angle of Depression above?

Step 1

Recall that the bottom of the rectangle has the same dimensions as the top.

Therefore,

tan = [tex]\frac{opposite}{adjacent}[/tex]

Thus, tan x = 297/995

Step 2 - We locate or calculate the inverse tangent of both sides. This results in:

x = tan⁻¹  ([tex]\frac{297}{995}[/tex])

Hence, x = 16.6⁰ approximately.

The full question is given here:

Suppose you are standing in the middle of the platform of the world's longest suspension bridge, the Akashi Kaikyo Bridge. If the height from the top of the platform holding the suspension cables is 297 meters, and the length from the platform to the center of the bridge is 995 meters, what is the angle of depression from the platform to the center of the bridge?

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Why should Christians fight against spread of devil worship in the society​

Answers

Christians fight against spread of devil worship​ because they believed the devil is the one who makes people to do bad/evil thing and when he is worshipped, the devil will have more power to oppress and control people.

What is devil worship?

Theistic Satanism is known to be a Religious belief that is often called religious Satanism, spiritual Satanism, etc.

It is known as the body of people or groups that sees Satan to be an their god and as such the bible states that the work of Satan is to do evil and separate man from God. Christians are against the worship of a being who leads others to eternal doom and to do evil.

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Which quotations show foreshadowing? check all that apply. ""if you don’t want it . . . give it to me."" ""i threw it on the fire."" ""don’t blame me for what happens."" ""hold it up in your right hand."" ""i warn you of the consequences.""

Answers

Answer:

"Don't blame me for what happens"

"I warn you of the consequences"

Explanation:

Hope it helps

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