Find the total volume of the following composite figure with

h=7.5

and

r=3.6

Use 3.14 for LaTeX: \piπ.

Round to the nearest hundredth.

Find The Total Volume Of The Following Composite Figure With H=7.5andr=3.6Use 3.14 For LaTeX: \pi.Round

Answers

Answer 1

Given:

The height of the given fig = 7.5 unit

The radius of the given fig = 3.6 unit

To find the volume of the given composite figure.

Formula

The volume of the given fig

[tex]V = V_{1}+V_{2}[/tex]

where,

[tex]V_{1}[/tex] be the volume of the cone

[tex]V_{2}[/tex] be the volume of the semicircle

[tex]V_{1}=\pi r^{2} h[/tex], r be the radius and h be the height

[tex]V_{2} = \frac{2}{3} \pi r^{3}[/tex], r be the radius

Now,

Putting, r= 3.6, h = 7.5 and π = 3.14 we get,

[tex]V_{1} =(3.14)(3.6^{2} )(7.5)[/tex] cube in

or, [tex]V_{1}= 305.208[/tex] cube in

And,

[tex]V_{2} =\frac{2}{3} (3.14)(3.6^{3})[/tex] cube in

or, [tex]V_{2} = 97.67[/tex] cube in

So,

[tex]V = 305.208+97.67[/tex] cube in

or, [tex]V = 402.878[/tex] = 402.88 cube in

Hence,

The volume of the given figure is 402.88 cube in.


Related Questions

A company uses the formula below to determine the salary offered to a potential employee, where s is the salary and y is the number of years of experience the potential employee has. s = 1,856y + 45,005 What salary would be offered to a potential employee with 10 years of experience?

Answers

Answer:

$63,565

Step-by-step explanation:

We can solve this problem by using the equation provided to us:

[tex]s = 1,856y + 45,005[/tex]

We are solving for 10 years of experience so for y, we plug in 10 as shown below. Now lets solve for s:

[tex]s = 1,856(10) + 45,005[/tex]    Multiply 1,856 by 10

[tex]s=18,560+45,005[/tex]        Add the two numbers

[tex]s=63,565[/tex]

The salary offered to a potential employee with 10 years of experience is $63,565

What is the result when 4x^3-3x^2+4x-5 is divided by x-1

Answers

Look at the attached picture⤴

Look at the attached picture⤴Hope it will help u....:)

your answer is 6 .....

Identificar todas las formas que se representa el intervalo del dominio de la función

Answers

Answer:

III

Step-by-step explanation:

At a school 1/4 of the students speak English and at least one other language of those students 2/5 speak Spanish what fraction of the students speaks Spanish ?

Answers

Answer:

1/1 that the answer

Step-by-step explanation:

1/4-2/5=1/1 that's the answer

Is someone gives me the answer to these...you are literally a Goat

Answers

Answer:

1. 12 games

2. 5 gift cards

3. 6 games

4. 2 more bags

Step-by-step explanation:

1. 50/ 4= 12.5, you can't play half a game, so reduce to 12

2. 120-36=84

84/15=5.6, again can't have part, reduce to 5

3. 720-330=390

390/60=6.5, you get it, reduce to 6

4. 30*4=120

200-120=80--  80/30=2.6667, reduce to 2

What is the value of x?
3
4
6
8​

Answers

44 skskskgnfjsielekeklekekeududifufufifjfjfjkfjfjfjf

can someone help me please I need this grade ​

Answers

Answer:

For the circle on the left:

Center: (-4,2)

Radius: 3

For the circle on the right:

Center: (2,3)

Radius: 3

Step-by-step explanation:

Complete the work to determine the value of a.


Use the law of sines: StartFraction sine (uppercase A) Over a EndFraction = StartFraction sine (uppercase B) Over b EndFraction.

Substitute: StartFraction sine (45 degrees) Over a EndFraction = StartFraction sine (77 degrees) Over 8 EndFraction .

Cross multiply: 8sin(45°) = asin(77°).

Solve for a and round to the nearest hundredth:

a ≈

.

Answers

Answer:

5.81

Step-by-step explanation:

just did the problem

Final answer:

To find the value of 'a' given the angles and one side length using the Law of Sines, we calculate a ≈ 5.80 by substituting the values into the formula and solving.

Explanation:

To determine the value of a using the Law of Sines, we are given two angles A and B and the length of one side b. We use the equation provided:

\(\frac{\sin(A)}{a} = \frac{\sin(B)}{b}\)

Substitute the given information into the equation:

\(\frac{\sin(45^\circ)}{a} = \frac{\sin(77^\circ)}{8}\)

Next, cross multiply to solve for a:

\(8 \times \sin(45^\circ) = a \times \sin(77^\circ)\)

Finally, solve for a:

\(a = \frac{8 \times \sin(45^\circ)}{\sin(77^\circ)}\)

Use a calculator to find the approximate value of a, rounding to the nearest hundredth:

a \approx \frac{8 \times 0.7071}{0.9744}

a \approx \frac{5.6576}{0.9744}

a \approx 5.80

write the mixed number as a fraction 1 3/5. Please put the rational

Answers

Brainliest plz.

Answer:

1 3/5 will be written as 8/5 in improper form.

Step-by-step explanation:

1 3/5 can also be seen as 1 + 3/5.

By making the 1 a like term, i.e. multiplying it by 5 (both numerator and denominator) we can add them as like terms.

1 will become 5/5.

5/5 * 3/5

= (5+3)/5

= 8/5

The fractional form of mixed number 1 3/5 is 8/5 .

Given,

Mixed number : 1 3/5

Here,

1 3/5 can also be seen as 1 + 3/5.

By making the 1 a like term, i.e. multiplying it by 5 (both numerator and denominator) we can add them as like terms.

1 will become 5/5.

5/5 * 3/5

= (5+3)/5

= 8/5

Know more about fractions,

https://brainly.com/question/10354322

#SPJ6

What are the domain and range of f(x) = (1/5)^X

Answers

Answer:

Step-by-step explanation:

hello : f(x) = (1/5)^X

the domain is : D=ℝ =]-∞ ,+∞[

limf(x) =0   and : limf(x) =+∞

the range is : E= ]0 ,+∞[

x⊶ -∞                  x⊶ +∞

Find the area of the circle. Round to the nearest tenth. Use 3.14 for π.


A.
154 inches squared

C.
172 inches squared

B.
123 inches squared

D.
162 inches squared

Answers

Answer:

A. 154 [tex]in^{2}[/tex]

Step-by-step explanation:

The formula for the area of a circle is [tex]\pi r^{2}[/tex]

First find the radius by dividing the diameter by 2, which is 7

[tex]\pi *7^{2}[/tex]

[tex]49\pi[/tex]

≈154 [tex]in^{2}[/tex]

Answer:

A

Step-by-step explanation:

Cost of a a radio:$9.99
Selling price:$17.08
What’s the markup

Answers

Answer:

7.09

Step-by-step explanation: its easy all you need to do the subtract

Scores on a test have a mean of 66 and a standard deviation of 9. Michelle has a score of 57. Convert Michelle’s score to z-score

Answers

Answer:

-1

Step-by-step explanation:

We have that the mean (m) is equal to 66, the standard deviation (sd) 9

They ask us for P (x <57)

For this, the first thing is to calculate z, which is given by the following equation:

z = (x - m) / sd

We have all these values, replacing we have:

z = (57 - 66) / (9)

z = -1

57 score to z-score is -1

Solve: 2/v+1/5=3/w for w

Answers

Final answer:

To solve for w in the equation 2/v + 1/5 = 3/w, a series of algebraic steps including taking reciprocals and simplifying complex fractions leads to w = (15v)/(10 + 2v).

Explanation:

To solve the equation 2/v + 1/5 = 3/w for w, we must isolate w. This involves several algebraic steps. First, we can take the reciprocal of both sides of the equation in order to get w on one side:

∑1/(2/v + 1/5) = 1/(3/w)

Through the properties of reciprocals and complex fractions, the equation simplifies down to:

w = ∑3 × (v × 5)/(2×5 + v)
This can be further simplified by multiplying through by 3 and combining terms under a single denominator. After simplification, we obtain the relationship:

w = (15v)/(10 + 2v)

Factor completely.
23 + 7x2 – 52 – 35 =


Pls help

Answers

Answer:

Cannot be factored further.

Step-by-step explanation:

I'm just gonna pretend that the equal sign isn't there.

First, simplify the numbers. when you simplify, you should get 7x^2-64.

This is the final. Your answer should be it cannot be factored further.

Answer:

-50

Step-by-step explanation:

First you have to find what 7 x 2 = (14). Then you take the 14 and add it to the 23 to get 37. You then have to subtract 52 from 37 and that gets you -15. Finally, you subtract 35 from -15 and you get your final answer of -50.

i’ll mark brainlest if it’s correct

Answers

Answer:

The measure of angle Y is 76 degrees.

Step-by-step explanation:

A kite is a quadrilateral, so its angles must add up to 360 degrees. We can represent this with an equation:

W+X+Y+Z = 360

W+132+Y+76 = 360

We know that W=Y because side WX = side WY.

Y+ 208+Y = 360

2Y = 152

Y = 76 degrees

Help ASAP PICTURE INCLUDED ! /

Find the value of x. Then find the mZS and m/T.
Enter your answers in the boxes.
x=
mZS =
mZT =

Answers

Answer:

x=34

m∠S = 38

m∠T = 111

Step-by-step explanation:

Since the angles of a triangle should add up to 180, you can solve this equation:

31 + x+4 + 3x+9 = 180

the solution is x=34

Then the angles S and T can be found by substituting that value for x.

Answer:

Step-by-step explanation:

In a triangle, there are 180 degrees.

180- 31 = 149 degrees

(x + 4) + (3x+9) = 149

x=34

X+ 4 = 38

3x +9 =111

X =34, T=111, S=38

PLEASE HELP ASAP! ONLY TRUE ANSWERS!

What is the surface area of the triangular prism made by folding up this net? Given:

a= 20 cm b= 25 cm C= 28 cm​

Answers

Final answer:

The surface area of a triangular prism can be found by adding the areas of all faces. The triangular faces are calculated using the formula for the area of a triangle, and the rectangular faces are calculated using the given dimensions of the sides of the triangles. The total surface area is the sum of these areas.

Explanation:

The question is asking for the surface area of a triangular prism. In order to find this, you need to add the areas of all the faces. A triangular prism has 5 faces, 2 are triangles, and 3 are rectangles.

For the triangular faces, we use the formula for the area of a triangle which is 1/2ab, where a and b are the provided dimensions. Thus, the triangle's area is 1/2 * 20 cm * 25 cm = 250 cm². Since there are two of these, the total area is 500 cm².

The rectangular faces are more challenging since it seems like we don't have enough information. The rectangle is made up of the sides of the triangles, so one side is 20 cm. However, we don't know the length (C) of the triangle which would be the other side of the rectangle. Assuming C is given, multiply each corresponding side to get the area of each rectangle, and add all together.

The final step is to add the area of the triangles and rectangles together to find the total surface area of the prism.

Learn more about Surface Area of Triangular Prism here:

https://brainly.com/question/30509043

#SPJ12

Describe the shape of the data distribution.


1. negatively skewed
2. symmetric
3. positively skewed
4. exponentially skewed

Answers

Answer:

1. Negatively skewed

General Formulas and Concepts:

Statistics

Analyzing data graphsCorrelations and skew-age

Step-by-step explanation:

If we define left of the graph as "negative" and right of the graph "positive", we can see how most data points are shifted to the left.

∴ It would be negatively skewed.

It would not be 2. Symmetric because if we draw a line of symmetry, it is in fact unsymmetrical.

It would not be 3. Positively skewed because the data would be grouped towards the right.

It would not be 4. Exponentially skewed because the data is not strictly increasing bigger and bigger.

A tree is 11 meters tall. What is its height in feet?use the following conversion 1 meter is 3.3 feet

Answers

Answer:

The tree is 36.3ft

Explanation:

Tree=11m

If 1 meter is equal to 3.3 feet we multiple the number of meters(11) to 3.3

Final answer:

To convert from meters to feet, we multiply the given length in meters by the conversion ratio of 3.3. The tree, being 11 meters tall, is therefore approximately 36.3 feet tall.

Explanation:

The question asks us to convert the height of a tree from meters to feet. The tree is 11 meters tall and we'll use the conversion rate of 1 meter being equal to 3.3 feet. To do this, we multiply the height of the tree in meters by the conversion ratio: 11 meters * 3.3 feet/meter. This gives us a height of 36.3 feet. So the tree is 36.3 feet tall.

Learn more about Conversion here:

https://brainly.com/question/34235911

#SPJ2

3x - 12y = -30 and x - 6y = -12

Answers

check attached file it has the answers

3x =-18

X= -12

Answer:

Step-by-step explanation:

What is the width of the rectangle shown?
4x + 3
A = 8x2 – 10x – 12
O
A. 44 - 4
O
2x - 15
O
o
O
c. 2x - 4
O
D. 4X – 15

Answers

Answer:

To find the width of the rectangle, we can use the formula for the area of a rectangle, which is the product of its length and width. In your question, you provided the area (A) as A = 8x^2 - 10x - 12, and the length is given as 4x + 3.

Let's denote the width as "w." So, we have:

Area (A) = Length (L) × Width (w)

A = (4x + 3)w

Now, we can solve for the width (w):

w = A / (4x + 3)

w = (8x^2 - 10x - 12) / (4x + 3)

Now, we need to simplify the expression for w. We can factor the numerator to see if there are any common factors:

w = [(2x - 4)(4x + 3)] / (4x + 3)

Now, we can cancel out the common factor of (4x + 3) in the numerator and denominator:

w = 2x - 4

So, the width of the rectangle is 2x - 4, which corresponds to option (C).

Step-by-step explanation:

Final answer:

The width of the rectangle is (8x^2 - 10x - 12) / (4x + 3)

Explanation:

To find the width of the rectangle, we need to equate the expression for the area of the rectangle to a product of its length and width. In this case, we have the area A = 8x2 - 10x - 12 and the length is given by 4x + 3. So, we can set up the equation (4x + 3) * width = A. Let's solve for the width:




 Expand the expression (4x + 3) * width to get 4x * width + 3 * width.
 Substitute the value of A into the equation, which gives us 8x2 - 10x - 12 = 4x * width + 3 * width.
 Combine like terms on the right side of the equation to get 4x * width + 3 * width = 8x2 - 10x - 12.
 Factor out the common factor of width on the left side of the equation to get width * (4x + 3) = 8x2 - 10x - 12.
 Divide both sides of the equation by (4x + 3) to isolate the width, giving us width = (8x2 - 10x - 12) / (4x + 3).



So, the width of the rectangle is given by the expression (8x2 - 10x - 12) / (4x + 3).

Learn more about Width of a Rectangle here:

https://brainly.com/question/26613529

#SPJ1

what is -2 - the radical 15 over 2

Answers

Answer:

Step-by-step explanation:

-3.9364916731

Write a cosine function that has a midline of 5, an amplitude of 3 and a frequency of 4/5

Answers

The cosine function with a midline of 5, an amplitude of 3 and a frequency of 4/5 is: f(x) = 3 * cos((8π/5) * x) + 5.

Given:

Amplitude (A) = 3

Frequency (f) = 4/5

Midline = 5

A cosine function with a midline of 5, an amplitude of 3, and a frequency of 4/5 can be expressed as:

f(x) = A cos(2π f x) + midline

Substituting these values into the equation, we get:

f(x) = 3 * cos(2π * (4/5) * x) + 5

Therefore, the cosine function is f(x) = 3 * cos((8π/5) * x) + 5.

Learn more about Cosine function here:

https://brainly.com/question/3876065

#SPJ12

Final answer:

To write a cosine function with a given midline, amplitude, and frequency.

y = 3 cos((4/5)x) + 5

Explanation:

In order to write a cosine function with a midline of 5, an amplitude of 3, and a frequency of 4/5, we can use the general form of the cosine function: y = A cos(Bx) + C. Here, A represents the amplitude, B represents the frequency, and C represents the midline.

Given that the midline is 5, the amplitude is 3, and the frequency is 4/5, we can substitute these values into the general form of the cosine function to get:

y = 3 cos((4/5)x) + 5

Learn more about cosine function here:

https://brainly.com/question/3876065

#SPJ3

what are the domain, range, and asymptote of h(x)= 2^x+4

Answers

Answer:

Step-by-step explanation:

hello : look this solution

Answer:

c. domain: {x | x is a real number}; range: {y | y > 0}; asymptote: y = 0

Step-by-step explanation:

I took the test.

2 people working at the same rate will take 6 hours to paint a room.
14 (a)
Assuming that they all work at this rate,
how long will it take 3 people to paint the room?
[2 marks]
Answer all
the
hours
14 (6)
In fact, the third person works at a faster rate.
How does this affect the time to paint the room?
(1 mark]

HELPOO ASAPP

Answers

Answer:4 hours

Step-by-step explanation:

6*2=12

12/3=4

Here is the histogram of a data distribution. All class widths are 1.
1 2 3 4 5 6 7 8 9 10
What is the median of the distribution

Answers

The required median of the distribution is 7. Option B is correct.

What is the median?

When a dataset is ordered, the median is the value that is exactly in the middle. It is a measure of central tendency that distinguishes between the lowest and top 50% of data.

Here,
To find the median of a distribution, we need to arrange the data in order from lowest to highest, and then identify the middle value. If there are an odd number of data points, the median is the middle value. If there are an even number of data points, the median is the average of the two middle values.

So, let's first list the values in ascending order:

1, 2, 3, 3, 4, 5, 5, 6, 6, 7, 7, 7, 7, 8, 8, 8, 8, 8, 9, 9, 9

The total number of data points is 20, which is even. Therefore, we need to find the average of the two middle values, which are the 10th and 11th values.

The 10th value is 7 and the 11th value is 7 as well, so the median is the average of these two values:

Median = (7+7)/2 = 7

Therefore, the median of the distribution is 7.

Learn more about medians here: https://brainly.com/question/28060453
#SPJ7

What are the steps for dividing 297 by 7

Answers

Answer:

using long division

Step-by-step explanation:

find a number that you can multiply.by the bottom of the fraction to make it 10 100 or even 1000 any 1 is following by 0's multiply both the top and the bottom.number.that you choose.

Answer:

42 3/7

Step-by-step explanation

Do long division or if you are using a calculator, divide 297 by 7.

You should receive the answer 42.428

Then, do 42 multiplied by 7. You should receive 294.

297 - 294 is 3

So if you include your 7 your final answer should be 42 3/7

picture attachment...

Answers

Answer:

march 9th and april 9th

Step-by-step explanation:

Will mark Brainliest!
Tanya spent $8.15 on 5 cans of tuna. She used a coupon that gave her 35¢ off each can.
What was the price of a can of tuna without the coupon?

Answers

1.28 because 35 cents x 5 divided by 8.15 is 6.4 and 6.4 divided by 5 is 1.28
Other Questions
What are the different types of relationships found among organisms in an ecosystem? Jenaya is reading a book. She is 75% finished. She read 120 pages. How many pages is the total book? Given the equation 5 + x - 12 = x - 7.Part A. Solve the equation 5 + x - 12 = x - 7. In your final answer, be sure to state the solution and include all of your work.Part B. Use the values x = -4, 0, 5 to prove your solution to the equation 5 + x - 12 = x - 7. In your final answer, include all of your calculations. What do community health centers do? What professions work there? Evaluate Ideas: Reread the next-to-last paragraph (lines 292300). Do you agree with what the narrator says about innocence and compassion? Use evidence from the story as well as your own experiences to explore your answer. Text Criticism Manchester Corporation had 100,000 shares of common stock outstanding and 5% bonds with a face value of $1,000,000 outstanding throughout the current year. The bonds are convertible into 150,000 common shares. Net income for the current year was $212,500 with a 25% tax rate. What is the amount of the diluted EPS for the current year The U.S. customary system of measurement is a decimal system. True False The cytoplasm is the watery fluid found within cells. The cytoplasm holds all of the organelles, except _______, in place within the cell. A.chloroplasts B. mitochondria C. vacuoles D. the nucleus In what ways does the role of the gods in part to reflect the characteristics of an epic Marissa is painting her rectangular patio, with the exception of a bench that does not need to be painted:Write an equation to determine the area, A, of the patio that will be painted. A = (x + 18)(x + 35) A = (x + 15)(x + 25) + 30 A = (x + 5)(x + 22) A = (x + 25)(x + 15) 30 Which shows the following expression after the negative exponents have been eliminated?A)StartFraction m Superscript 7 Baseline n cubed Over m n Superscript negative 1 Baseline EndFraction, m not-equals 0, n not-equals 0B)StartFraction m Superscript 7 Baseline n cubed n Over m EndFractionm Superscript 7 Baseline n cubed m nC)StartFraction m Superscript 7 Baseline n cubed Over m (negative n) EndFractionD)StartFraction m n Over m Superscript 7 baseline n EndFraction A cardiovascular fitness workout lasting 60 minutes applies which part of the FITT principle? Suppose you are a euro-based investor who just sold Microsoft shares that you had bought six months ago. You had invested 10,000 to buy Microsoft shares for $120 per share; the exchange rate was $1.55 per euro. You sold the stock for $135 per share and converted the dollar proceeds into euro at the exchange rate of $1.50 per euro. How much of the return is due to the exchange rate movement? De acuerdo a las memorias de OReilly los puertorriqueos eran: What were the three effects of westward expansion? 8x-y+3x what is the answer for that During which stage of mitosis do the chromosomes attach to the spindle fibers and line up in the center of the cell? Anaphase Interphase Metaphase Telophase The german blitzkrieg was a military strategy that depended on what advantage? HELP PLEASE (If you cant answer all, that okay! First to answer all will be mark BRAINLIEST!)(They need to be matched to the correct definition!)~~~~~~~~~~~~~~Periodic table ~~~~~~~~~~~~~~Antoine Lavoisier ~ used patterns to predict undiscovered elementsDmitri Mendeleev ~ Divided elements into four categories John Newlands ~created groups of three elements, each based on Johann Wolfgang Dobereiner similar properties ~Arranged elements according to their atomic mass In these solutions, identify the solute and the solvent. Sea water, a solution composed of a variety of salts dissolved in water. The salt is the . Soda water, a solution composed of carbon dioxide gas dissolved in water. The water is the Air, a solution composed of 78% nitrogen and 21% oxygen. The nitrogen is the .