The volume of a tree stump can be modeled by considering it as a right cylinder. Justin measures its circumference as 84 in and its volume as 20214 cubic inches. Find the height of the stump in feet. Round your answer to the nearest tenth if necessary.

Answers

Answer 1

The height of the stump tree which can be modeled by considering it as a right cylinder is 35.9 inches.

What is a cylinder?

A cylinder is simply a 3-dimensional shape having two parallel circular bases joined by a curved surface.

The volume of a cylinder is expressed as;

V = π × r² × h

Where r is radius of the circular base, h is height and π is constant pi ( π = 3.14 )

Since the base of a cylinder is circular in shape, the circumference is expressed as;

C = 2πr

Given that the circumference of the base is 84 in, we can now calculate the radius r.

C = 2πr

84in = 2 × 3.14 × r

84in = 6.28 × r

r = 84in / 6.28

r = 13.4in

Now, the Radius of the cylinder r = 13.4in and its volume = 20214in³, we substitute this values into the expression for volume of cylinder above to find the height h.

V = π × r² × h

20214in³ = 3.14 × ( 13.4in)² × h

20214in³ = 3.14 × 179.56in² × h

20214in³ = 563.8in² × h

h = 20214in³ / 563.8in²

h = 35.9in

Therefore, the height of the stump tree which can be modeled by considering it as a right cylinder is 35.9 inches.

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Related Questions

Choose a natural number between 1 and 100, inclusive. What is the probability that the number chosen is not a multiple of 4? (Enter the probability as a fraction.)

Answers

Answer: 3/4

Step-by-step explanation:

Every fourth number is divisible by 4 and every 3 out of 4 is not divisible.

There are 25 multiples of 4 (4*1 through 4*25)

So the indicated probability = 75/100

= 3/4  

The function f is continuous on the interval (4, 15), with some of its values given in the table above.(in the picture)
Estimate the average value of the function with a Left Rectangle
Approximation, using the 4 intervals between those given points.
(I will vote and like, thank you)

Answers

Answer:

-11.545

Step-by-step explanation:

1/11(5*-6 + 2*-11 + 3*-18 + 1*-21)

please help me with this its due in 15 minutes plus ill need help with more

Answers

Answer:

171 Square Feet

Step-by-step explanation:

We first cut the figure up into smaller parts...

we then use the formula (L x W = A) to find the area

L = Lenth

W = Width

the first rectangle (1)...

15 x 5 = 75

the second figure (2)...

8 x 9 = 72

the third figure (3)...

6 x 4 = 24

now we have to add up all the values to find the area of the entire figure...

75 + 72 + 24 = 171

Hope this helps! Please let me know if you need more help or think my answer is incorrect. Brainliest would be MUCH appreciated. Also remember to rate answers to help other students, While leaving thanks to answers that help you. Have a great day!

Sofia can text 40 words in one minute
At that rate, how many words can she
text in 12 minutes?

Answers

Do 40 times 12 because if she can type 40 words each minute and there is 12 minutes then it would be 480
answer:480 cause 12 times 40 is 480

prove the equation, you can only change one side
csc0-sin0=cot0cos0

Answers

[tex]\textit{Pythagorean Identities} \\\\ sin^2(\theta)+cos^2(\theta)=1\implies cos^2(\theta)=1-sin^2(\theta) \\\\[-0.35em] \rule{34em}{0.25pt}\\\\ csc(\theta )-sin(\theta )~~ = ~~cot(\theta )cos(\theta ) \\\\[-0.35em] ~\dotfill\\\\ csc(\theta )-sin(\theta )\implies \cfrac{1}{sin(\theta )}-sin(\theta )\implies \cfrac{1~~ - ~~sin^2(\theta )}{sin(\theta )} \\\\\\ \cfrac{cos^2(\theta )}{sin(\theta )}\implies \cfrac{cos(\theta )}{sin(\theta )}\cdot cos(\theta )\implies cot(\theta )cos(\theta )[/tex]

PLEASE HELP PLEASE PLEASE

Answers

Answer:

C but if its not correct pls tell me. :)

Step-by-step explanation:

Answer:

D

Step-by-step explanation:

The formula for volume is length × width × height

2×1×2= 4

3×1×1= 3

4×1×2= 8

3×1×3= 9

So D has the biggest volume.

what the denominator has been multiple by
[tex] \frac{.1}9 = \frac{?}{27} [/tex]

Answers

Answer:

it has been multiplied by 3

Step-by-step explanation:

9 x 3=27

1 x 3=3

Terrance draws a triangle with sides of 10 cm, 11 cm, and 12 cm with angle measures of 55°, 60°, and 65°. Which of the following is a possible way to classify the triangle by side and angle measurements?
A. Obtuse and isosceles
B. Acute and scalene
C. Obtuse and equilateral
D. Acute and equilateral

Answers

Answer:

Acute and Scalene

Step-by-step explanation:

The measurments of the triangle are all almost equal and all the angles are less than 90 degrees, so all of them are acute angles. The scalene triangle has almost all equal sides.

The possible way to classify the triangle by side and angle measurements is,

⇒ Acute and scalene.

What is mean by Angle?

An angle is a combination of two rays (half-lines) with a common endpoint. The latter is known as the vertex of the angle and the rays as the sides, sometimes as the legs and sometimes the arms of the angle.

We have to given that;

Terrance draws a triangle with sides of 10 cm, 11 cm, and 12 cm with angle measures of 55°, 60°, and 65°.

Since, All the angles are less than 90 degree.

Hence, It shows the Acute angle.

Here, Terrance draws a triangle with sides of 10 cm, 11 cm, and 12 cm.

Clearly, All the sides of triangle are not same in length.

Thus, It shows scalene.

Thus, The possible way to classify the triangle by side and angle measurements is,

⇒ Acute and scalene.

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Evaluate the expression
If x=5
24x + 16

Answers

136 because you take the 5 and the 24 and multiply it then add 16

Evaluate the function rule for the given value.

y = 8 ∙ 3x for x = 4

1944

647

96

648

Answers

Answer:

96

Step-by-step explanation:

y=8.3x

x=4

Substituting x as 4,

y=8*3*4

y=8*12

y=96

Hence, x=4, y=96

Easy math help picture below 2 problems

Answers

Answer: 10 Inches

Step-by-step explanation:

A student generates two patterns.
• Pattern P starts at 8 and follows the rule "multiply by 2, subtract 3" to get the
next term.
• Pattern Q starts at 6 and follows the rule “subtract 2, multiply by 2" to get the
next term.
Which lists show the first five terms of each pattern?
I) Pattern P: 8, 10, 14, 22, 38
Pattern Q: 6, 8, 12, 20, 36
1) Pattern P: 8, 13, 23, 43, 83
Pattern Q: 6, 10, 18, 34, 66
1.) Pattern P: 8, 16,5, 32, 2
Pattern Q: 6, 4, 12, 2, 24
1) Pattern P: 8, 13, 23, 43, 83
Pattern Q: 6, 8, 12, 20, 36

Answers

Answer:

pattern P: 8,13,23,43,83

pattern Q: 6,10,18,34,66

The tables that contain the first 5 elements of both patterns are:

Pattern P: 8, 13, 23, 43, 83Pattern Q: 6, 8, 12, 20, 36How to find the first 5 terms of each pattern?

For pattern P we start at 8, and to get the next element we multiply by 2, and then subtract 3.

So the first 5 elements are:

[tex]a_1 = 8\\\\a_2 = 2*8 - 3 = 13\\\\a_3 = 2*13 - 3 = 23\\\\a_4 = 2*23 - 3 = 43\\\\a_5 = 2*43 - 3 = 83[/tex]

For pattern Q we start at 6, and then we subtract 2 and multiply by 2 to get the next element.

[tex]b_1 = 6\\\\b_2 = (6 - 2)*2 = 8\\\\b_3 = (8 - 2)*2 = 12\\\\b_4 = (12 - 2)*2 = 20\\\\b_5 = (20 - 2)*2 = 36\\\\[/tex]

Then the tables that contain the first 5 elements of both patterns are:

Pattern P: 8, 13, 23, 43, 83Pattern Q: 6, 8, 12, 20, 36

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find the area of the shaded region. Use the formula A= pie r^2 to find the area of a circle

Answers

Answer:

(π6x+21π)m²

Step-by-step explanation:

Solution,

For small circle

radius(r)=x+2

Area(A1)=πr²

Area(A1)=π×(x+2)²

Area(A1)=π×(x²+4x+4)

Area(A1)=πx²+π4x+4π

For big circle

radius(r)=x+5

Area(A2)=πr²

Area(A2)=π×(x+5)²

Area(A2)=π×(x²+10x+25)

Area(A2)=πx²+π10x+25π

Again,

Area of shaded part=A2-A1

Area of shaded part=πx²+π10x+25π-(πx²+π4x+4π)

Area of shaded part=πx²+π10x+25π-πx²-π4x-4π

Area of shaded part=π6x+21π

what is the digit 9 in this number 195,487 ​

Answers

Answer:

90,000 the answer to that question

Answer:

The ten thousands place.

The population of a country can be calculated by the function P(t) = 3.32 t5/3. P represents the population (in millions) and t is time (in years). Find the population after 3 years.

Answers

The population after 3 years is 16.6 million

What is the value of min the figure below?
11
m
с
O A. 336
O B. 77
O C. V178
D. V624
O E. 42
F. 126

Answers

[tex] {m}^{2} = 7 \times (7 + 11)[/tex]

[tex] {m}^{2} = 7 \times 18[/tex]

[tex] {m}^{2} = 126[/tex]

[tex]m = \sqrt{126} [/tex]

is this a funcation? (5,8) (7,0) (0,5) (5,2) (9,1)

Answers

Yes it is a funcation

Use the table and a calculator to help you find a solution to 0.1 • 2 x = , rounded to the nearest whole number.

x 0.1 • 2 x
1 0.2 4
2 0.4 2
3 0.8 1.33
4 1.6 1
5 3.2 0.8
A solution to this equation to the nearest whole number is x = .

Does this equation have any other solutions?

Answers

The solution of the equation is approximately x = 4 and there are no other solutions

How to determine the solution of the equation?

The equation is given as

0.1(2^x) = 4/x

Also, we have the table of values as one of the given parameters

Next, we check the table of values

From the table of values, we can see that:

The value of x is between x = 3 and x = 4

This is so because the values of the expressions 0.1(2^x) and 4/x are closest at these values

However, the value of x is closer to 4 than 3

This means that

x = 4 (approximately)

Hence, the solution of the equation is approximately x = 4 and there are no other solutions

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Question 5
O Mark this question
22
5.3
A manufacturing company has two plants at different locations producing three different
items equally within each plant. Based on the number of workers and the demand for
the items in their respective locations, the number of items manufactured per day by
each plant is listed in the table.
5.4 T
5.4
5.4
Plant A
Plant B
5.4
Item 1
22
15
5.4
Item 2
00
8
12
5.4.
Item 3
14
25
5.5 An
5.5.1
Select the observed and expected frequencies for Item 2 produced by Plant B.
5.5.2
5.5.3
Observed: 12
5.5.4

Answers

The observed and expected frequencies for Item 2 produced by Plant B will be 12 and 17.3.

What is an observed frequency?

It should be noted that observed frequency simply means counts that are made from experimental data.

Here, the observed frequencies for Item 2 produced by Plant B is 12. The expected frequency will be:

= (15 + 12 + 25)/3

= 52/3

= 17.3

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Hewo Pls Answer the questions below TY!

Answers

Answer:

dont worry if people report you for a answer that is not right lol trust me i know

Step-by-step explanation:

Please where is the question
There is no question below

An apartment complex is turning the grassy area next to the current parking lot into more parking space.Once they are done,how much total parking area will there be?

Answers

Once the apartment complex have been turned to a parking area, the total parking area will be 1620 square units

How to determine the total parking area?

From the complete question, the parking area consists of the following shapes and dimensions

Rectangle: 28 units by 40 unitsRectangle: 20 units by 25 units

The area of a rectangle is the product of its dimensions.

So, the area of the parking area is:

Area = 28x40 + 20x25

Evaluate the products

Area = 1120 + 500

Evaluate the sum

Area = 1620

Hence, the total area of the parking area is 1620 square units

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((-6) + 7 - 3) x 2 divided by 4. Order of operations? I think the answer is -1.

Answers

Answer:

-1

Step-by-step explanation:

The order of operation (PEMDAS) states that:

P - ParenthesisE - ExponentsM - MultiplicationD - DivisionA - AdditionS - Subtraction

Given expression:

[{(-6) + 7 - 3} x 2] ÷ 4

We can see that "-6" is the integer that is inside the parenthesis "( )". Therefore, we can open the parenthesis "( )".

⇒ [{-6 + 7 - 3} x 2] ÷ 4

Simplify the expression inside the curvy brackets "{ }" using PEMDAS.

⇒ [{1 - 3} x 2] ÷ 4                     [PEMDAS]⇒ [{-2} x 2] ÷ 4                         [PEMDAS]

Now we can open the curvy brackets "{ }".      

⇒ [-2 x 2] ÷ 4      

Simplify the expression inside the long brackets "[ ]" using PEMDAS.

⇒ [-4] ÷ 4      

Finally, open the long brackets "[ ]" and simplify the expression obtained.

⇒ -4 ÷ 4  ⇒ -1

PLEASE I NEED HELP. WILL MARK BRAINLEST
NO ANSWER IN FILES PLEASE
There are 9 balls numbered 1 through 9 placed in a bucket. What is the probability of reaching into the bucket and randomly drawing four balls numbered 6, 9, 8, and 7 without replacement, in that order? Express your answer as a fraction in lowest terms or a decimal rounded to the nearest millionth.

Answers

Using the permutation formula, as the order is important, it is found that there is a 0.000331 probability of selecting the balls in the desired order.

What is the permutation formula?

The number of possible permutations of x elements from a set of n elements is given by:

[tex]P_{(n,x)} = \frac{n!}{(n-x)!}[/tex]

In this problem, 4 balls will be taken from a set of 9, hence the total number of outcomes is:

[tex]P_{9,4} = \frac{9!}{5!} = 3024[/tex]

The desired outcome is only one, hence the probability is given by:

p = 1/3024 = 0.000331.

There is a 0.000331 probability of selecting the balls in the desired order.

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Razonamiento matemático
Maria tiene $900 pesos y Juan tiene el doble de la tercera parte de María.
Si la suma del dinero de Pedro y Juan es de $1000 pesos ¿cuánto dinero tiene Pedro?

Answers

Resolviendo un par de ecuaciones lineales veremos que pedro tiene 400 pesos.

¿Cuánto dinero tiene Pedro?

Sabemos que:

María tiene 900 pesos.

Juan tiene el doble de la tercera parte de María, entonces:

J = (2/3)*$900 = $600

Juan tiene 600 pesos.

Finalmente, sabemos que la suma del dinero de Pedro y Juan es de $1,000 pesos, entonces tenemos que resolver la ecuación lineal:

P + J = $1,000

P + $600 = $1,000

P = $1,000 - $600 = $400

Pedro tiene 400 pesos.

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What is line r called and what are ∠1 and ∠2?

Answers

The line r is the transversal and ∠1 and ∠2 are linear pairs.

Angles formed when a transversal cuts parallel lines

When a transversal cuts parallel lines , angles formed includes corresponding angles, alternates angles, linear pair angles etc.

Therefore, p and q are the parallel lines.

The transversal is r.

The transversal r, cuts the parallel lines p and q.

Therefore, line r is the transversal and ∠1 and ∠2 are linear pairs.

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Answer:

D. Line r is the transversal and ∠1 and ∠2 are consecutive interior angles

Step-by-step explanation:

took the quiz

From 32 + 14i, subtract its complex conjugate. What is the difference?

Answers

Answer:

To find the complex conjugate, negate the term with i

.

32−14i

Step-by-step explanation:

Please help in urgent need for this answer

Answers

Step-by-step explanation:

i)

Consider the exponential equation

[tex]y = a {e}^{bt} [/tex]

Now Substitute these points to get a and b value

(0,37000) , (1,20350)

[tex]37000 = a \times {e}^{b \times 0} [/tex]

[tex]37000 = a \times 1[/tex]

Hence a=37000

Now Substitute t=1

[tex]20350 = 37000 \times {e}^{b \times 1} [/tex]

[tex] \frac{20350}{37000} = {e}^{b} [/tex]

[tex]0.55 = {e}^{b} [/tex]

[tex]b = log_{e}(0.55) = - 0.5978[/tex]

b≈(-0.6)

[tex]y = 37000 {e}^{ - 0.6t} [/tex]

is the required equation

ii)

[tex]y = 37000 {e}^{ - 0.6 \times 0.4} [/tex]

[tex]y = 37000 {e}^{ - 0.24} [/tex]

iii) it decreases by a factor of

[tex] {e}^{0.6} [/tex]

every decade

So the factor by which the price of car decreases every year is

[tex] {e}^{ \frac{0.6}{10} } [/tex]

as 1year =1/10 decade

Hence the required factor

[tex] {e}^{0.06} [/tex]

I hope it helped you

1. All of the following are ways to show information on a map except--

Question 1 options:

Symbols


Themes


Colors


Contours

Question 2 (1 point)
Saved
The Black Forest of Germany and forest located in China and America suffer from–

Question 2 options:

Deforestation


Drought


Acid Rain


Blight

Question 3 (1 point)
Saved
Which source would provide the most accurate information about a group’s culture?

Question 3 options:

Satellite Images


Elevation Maps


World Globe


Field work

Question 4 (1 point)
Saved
During the time of Christopher Columbus, which continent would have been most accurately mapped?

Question 4 options:

Europe


Asia


South America


North America

Question 5 (1 point)
Two bodies of water greatly affected by irrigation are--

Question 5 options:

Baltic Sea and Volga River


Aral Sea and Colorado River


Black Sea and Thames River


Caspian Sea and Seine River

Question 6 (1 point)
What do mountainous regions do to create flat land for farming?

Question 6 options:

Polders


Terracing


Canals


Deforestation

Question 7 (1 point)
When put together what does a line of latitude and longitude create?

Question 7 options:

Absolute Location


Relative Location


Point


Pole

Question 8 (1 point)
This process brings water to crops.

Question 8 options:

Irrigation


Polders


Terracing


Erosion

Question 9 (1 point)
Temperature, precipitation, and seasons are all ______________________.

Question 9 options:

Latitude Zones


Vegetation Characteristics


Climate Characteristics


Seasons

Question 10 (1 point)
Tropical/hot climate found between the Tropic of Cancer and the Tropic of Capricorn

Question 10 options:

Polar Latitude Climate Zone


High Latitude Climate Zone


Middle Latitude Climate Zone


Low Latitude Climate Zone

Answers

1. The ways to show information on a map include using symbols, colors, and contours, except B. Themes.

What is the information shown on a map?

A map displays information about distance and direction, using symbols, colors, and contours.

Typically, maps are drawn to carefully reduced scales.

Some maps display the following information:

Political boundariesPopulationPhysical featuresNatural resourcesRoadsClimatesElevation (topography)Economic activities.

2. The Black Forest of Germany and forests located in China and America suffer from C. Acid Rain.

What is acid rain?

Acid rain refers to sulphuric or nitric acid, falling to the ground from air, in the form of fog, hail, and dust.

Originating from atmospheric pollution, acid rain is known to cause environmental harm to:

TreesFreshwaters and soilsAquatic life-formsPaintings (peeling)Steel structures such as bridgesStone buildings and sculpturesHuman life.

3. The source that provides the most accurate information about a group's culture is D. Fieldwork.

What is fieldwork?

Fieldwork is research conducted in a natural environment for obtaining primary data.

Fieldwork gives the most accurate information about a group's culture better than Satellite Images, Elevation Maps, and the World Globe because it is based on the group's space.

4. During the time of Christopher Columbus, the continent that would have been most accurately mapped was A. Europe.

What is mapping?

Mapping refers to the creation of maps.

For instance, Europe was most accurately mapped than Asia, South America, and North America during the time of Columbus.

5. The two bodies of water greatly affected by irrigation are B. the Aral Sea and the Colorado River.

What is irrigation?

Irrigation is the application of water to soil to meet the needs of growing plants and ensure a bountiful harvest for farmers.

Types of irrigation systems include:

Sprinkler irrigationSurface irrigationDrip irrigationSub-irrigationManual irrigation.

6. Mountainous regions create flat land for farming by B. Terracing.

What is terracing?

Terracing is the method of growing crops on the sides of hills or mountains by constructing specific ridged platforms (or graduated terraces).

Terracing decreases erosion and surface runoff, supporting the growth of crops requiring irrigation, such as rice.

7. When put together, a line of latitude and longitude creates A. Absolute location.

What is an absolute location?

An absolute location refers to a precise point on Earth or another defined space.

8. The process that brings water to crops is A. Irrigation, as previously defined.

9. Temperature, precipitation, and seasons are all C. Climate Characteristics.

What are climate characteristics?

Climate characteristics refer to climate features such as windiness, humidity, cloud cover, atmospheric pressure, and fogginess

10. Tropical/hot climate found between the Tropic of Cancer and the Tropic of Capricorn is referred to as the D. Low Latitude Climate Zone.

What does the low latitude climate zone imply?

The low latitude climate zone implies a tropical climate with warm temperatures.

Thus, the low latitude zone covers the areas of the earth south of the equator and north of about 30 degrees latitude.

Learn more maps and climate zones at https://brainly.com/question/23439088, https://brainly.com/question/18641405, https://brainly.com/question/23391170

CAN SOME TELL ME THE ANSWER

Answers

Answer:

54 kids per bus

Step-by-step explanation:

first take 7-331 and you get 324 divided by 6= 54

Different events have the following likelihoods.sort them from least to greatest:

Answers

you did not include the rest
Other Questions
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Katie thought about having to leave without hearing from Mae. "I hope the trains never start running again," Leslie told me one night. "I hope we can never leave New York to go to one of those awful families. Are you leaving on Saturday?" "That's what Mrs. Snippen told me," I said. I felt sick. Then I remembered my promise to myself. I had said that I would learn to make the best of things. "I think it will be alright," I said. I looked at Bea, who was sleeping already. "It's only for a few years." Leslie rolled her eyes. "You must be joking," she said. Then she went to her bed to go to sleep. Leslie was right. It was one thing to go along with something that couldn't be helped. But did they really have to send me away from my little sister? I wondered if Bea and I should run away A tall woman appeared in the doorway. "Katherine Fowler, to bed!" Mrs. Snippen said sternly. The next day was my birthday. The cook made me a little cake, a rare treat. Miss Kent brought me a beautifully wrapped box. Inside was a traveling bag and a warm red scarf. "I knitted the scarf for you," Miss Kent explained. "You'll probably be going to a place with cold winters." I couldn't bring myself to say "thank you." Everything was about me going away. I wasn't grateful for that. I hated it. "Have we heard from Mae?" I whispered. Miss Kent shook her head. "It will take weeks to fix the telegraph lines," she said. She put her hand o Part 1: Describe the mass and the surface temperature of dwarf stars.Part 2: Explain using complete sentences where on the HR diagram you would expect to find a dwarf star based on its physical properties. (10 points) How tall is steve in feet and inches according to the games scale? Please help! Refer to the image below. 30 POINTS ANSWER CORRECTLY AND EXPLAIN WHY!! IF NOT YOU WILL BE REPORTED. Which best describes how the money that individuals have in savings accounts affects the economy? A / The money in savings accounts is used for daily expenses like food and gas which keep the economy going. B / The money in savings accounts just sits in the bank and does not have a great impact on the economy. C / Savings accounts stop inflation by keeping some money out of circulation. D / Banks can put the money in savings accounts into circulation by loaning it to others. Which statement accurately describes the significance of the Battle of New Orleans? (Choose 2) Each Handle is 1/4 the width of the handlebars. How many inches long is each Handle. Width of Handlebar is 2 ft Please help me I will give brainliest How many ways can a president, vice-president, and secretary be chosen from a club with 9 members? Can someone help me please. What is the writing style?A. the way a writer uses specialized vocabulary related to the topicB. the way a writer puts words together, and the words he or she usesC. the way that a writer organizes the ideas in a report or storyD. none of these How does Kings speech embody The Struggle for Freedom? How does it relate to the Frederick Douglas quote: If there is no struggle, there is no progress? Offering 55 points to anybody that can solve this! Pls, it's due in like 30 mins!!