A mute for a brass instrument is formed by taking a solid cone with a radius of 10 centimeters and an altitude of 20 centimeters and cutting off the top. The cut is made along a plane that is perpendicular to the altitude of the cone and intersects the altitude 6 centimeters from the vertex. Round your answers to the nearest hundredth.

What is the surface area of the original cone?
What is the surface area of the cone that is removed?
What is the surface area of the mute?

Answers

Answer 1

By using the formula for the area of a cone, we will get:

i)  942 cm^2ii)  84.78cm^2iii)  885.48cm^2

How to get the surface areas?

First, let's find the area of the original cone. Remember that for a cone of radius R and height H, the surface area is:

A  = pi*R^2 + pi*R*H

Then for the original cone where:

R = 10cm

H = 20cm

The area is:

A = 3.14*(10cm)^2 + 3.14*10cm*20cm = 942 cm^2

Now, we remove a smaller cone at 6 cm from the vertex, so we are removing a cone with height of 6 cm, and the radius of this cone is given by:

R' = R*(H'/H) = 10cm*(6cm/20cm) = 3cm

So the area of the removed cone is:

A' = 3.14*( (3cm)^2 + 3cm*6cm) = 84.78cm^2

The final area of the mute will be equal to the difference between the area of the original cone and the area of the removed cone, plus the area of the top cross-section (a circle of radius of 3cm)

A'' = 942 cm^2 - 84.78cm^2 + 3.14*(3cm)^2 = 885.48cm^2

If you want to learn more about areas, you can read

https://brainly.com/question/6613758


Related Questions

name the two operations used for converting weight measurement

Answers

Answer:

grams and kilograms it got delted for some reason

Step-by-step explanation:

16+(5 to the 2nd power -7)divided by 3

Answers

answer:

11.3(repeating) or [tex]\frac{34}{3}[/tex]

explanation:

attached

--

if this helped, please consider giving brainliest !

Question Factor −1/4 out of −1/2x−5/4y.

Answers

Answer = -1/4 (2x + 5y)

-1/2 x - 5/4 y
=(-1/4 * 2x) + (-1/4 * 5y)
= -1/4 (2x + 5y)

Apply properties of operations to show why 3.5n + 4 (5 1/4n - 1.5) is equivalent to -21 (2/7 - 7/6n)

Answers

Applying the properties of operations; it follows that; 3.5n + 4 (5 1/4n - 1.5) is equivalent to -21 (2/7 - 7/6n).

Properties of Operations

There are four (4) basic properties of real numbers which apply to addition and multiplication: namely; commutative, associative, distributive and identity.

Hence, by the cumutative property of multiplication and associative property of addition, it follows that;

4× -1.5 = -21(2/7)

3.5n + 4(5 1/4n) = -21(7/6n)

Hence, it follows that the expressions are equivalent.

Read more on properties of operations;

https://brainly.com/question/16136176

The measure of an angle is eighty-nine times it's supplementary angle. what is the measure of each angle.
I need two answers,

Answers

Answer:

178 and 2

Step-by-step explanation:

sum of supplementary angles are 180

so, x+ 89x = 180

=>               x+89x = 180

=>               90x = 180             [the transposing method]

=>                x = 180/90

=>                x = 2

now we have the value of one angle

as the other angle is 89 times x,

=>                89x

=>                89*2

=>                 178

now, we have the measure of both the angles which equals 180 degree

178 degree and 2 degree

4 What is the total perimeter?
(2 pts)
4ft,
12 ft.
Show ur work 30 points

Answers

[tex]\qquad\qquad\huge\underline{{\sf Answer}}♨[/tex]

let's solve ~

Perimeter of the composite figure :

Perimeter of rectangle + circumference of semi circle - common side.

Perimeter of rectangle :

[tex]\qquad \tt \dashrightarrow \:2(4 + 12)[/tex]

[tex]\qquad \tt \dashrightarrow \:2(16)[/tex]

[tex]\qquad \tt \dashrightarrow \:32 \: \: ft {}^{} [/tex]

Circumference of Semicircle :

[tex]\qquad \tt \dashrightarrow \:\pi r[/tex]

[tex]\qquad \tt \dashrightarrow \:3.14 \times 2[/tex]

[tex]\qquad \tt \dashrightarrow \:6.28 \: ft[/tex]

Length of common side = 4 feet

So, perimeter of composite figure :

[tex]\qquad \tt \dashrightarrow \:32 + 6.28 - 4[/tex]

[tex]\qquad \tt \dashrightarrow \:34.28 \: ft[/tex]

Solve for h. h - 45 = -35A.h = -10B.h = 10C.h = -80D.h = 80


PLS HELP HURRY

Answers

The value of h is going to be 10 therefore the answer is going to be B

Explanation: 10 - 45 = -35

Solve for x (literal equations):
c=b-bx show work

Answers

Answer:

x = [tex]\frac{b-c}{b}[/tex]

Step-by-step explanation:

c = b - bx ( add bx to both sides )

bx + c = b ( subtract c from both sides )

bx = b - c ( divide both sides by b )

x = [tex]\frac{b-c}{b}[/tex]

Describe and correct the error in the given statement: The relation (1,-5), (2,-5), (3,6), (4,11) is not a function because the inputs 1 and 2 are both paired with the output -5.​

Answers

Answer:

15-5+38+8+595+2+8+6+9+7-5+29-8+8-5-5+2+8+3+9

Find the surface area of this figure.

Answers

Answer:

66550000000 in.²

Step-by-step explanation:

22³in x 10⁴in x 5⁴in = 66550000000 in

Which equation has a vertex at (3, –2) and directrix of y = 0?

y + 2 = StartFraction 1 Over 8 EndFraction (x minus 3) squared
y + 2 = 8 (x minus 3) squared
y + 2 = negative StartFraction 1 Over 8 EndFraction (x minus 3) squared
y + 2 = negative 8 (x minus 3) squared

Answer: C

Answers

Answer:

The square below represents one whole.

What percent is represented by the shaded area?

The square below represents one whole.

What percent is represented by the shaded area?The square below represents one whole.

What percent is represented by the shaded area?The square below represents one whole.

What percent is represented by the shaded area?The square below represents one whole.

What percent is represented by the shaded area?vvvvStep-by-step explanation:

Simplify: [(13 + 8) ÷ 3] − 4 =

Answers

Answer:

3

Step-by-step explanation:

First you do 13 + 8

13 + 8 = 21

Then you divide by 3

21 divided by 3 is 7

Finally you subtract 4

7 - 4 = 3

Hope this helps!!

Answer:

3

________________________________________________________

Solve

When doing problems, remember PEMDAS, the order of operations:

parenthesesexponentsmultiplicationdivisionadditionsubtraction

Go by the list from top to bottom, and prioritize the higher-up orders first.

Start with 13 + 8

[tex]13 + 8 = 21[/tex]

Next, divide by 3

[tex]21 / 3 = 7[/tex]

Lastly, subtract by 4

[tex]7 - 4 = 3[/tex]

________________________________________________________

Questions?

Ask me in the comments box, please.

PLEASE HELP! I WILL GIVE BRAINLIEST AND NO LINKS PLEASE!

Answers

Answer:

Your answer would be the first one, 7/8 and 0.92, because they are only ones greater than 5/7 the rest equal under 5/7

Answer:

The two solutions: 7/8 & 0.92

Step-by-step explanation:

[tex]\frac{5}{7} =0.714[/tex]

7/8 = 0.875,  because 0.875 [tex]\geq 0.714[/tex]

0.92 because [tex]\geq[/tex] 0.714

Hope this helps

Please help with this i will give a big reward on god.

Answers

Answer: 2.9

Step-by-step explanation:

area of roof = (.5)(base of house)(left side - right side)

area of roof = (.5)(2)(2.8 - 1.8)

area of roof = (.5)(2)(1) = 1

area of bottom = left height x base of house

area of bottom = 1.8 x 2 = 3.6

area of house = area roof + area bottom

area of house = 1 + 3.6 = 4.6

area without door = area house - area door

area door = door height x door width

area door = 1.7 x 1

area door = 1.7

area without door = 4.6 - 1.7 = 2.9

Help PLEASE find AD and BC

Answers

Step-by-step explanation:

so AD=DC and DC=12 so AD=12

the lines AB=BC so 3x+1=2x+6 simplify and get x=5

plug in and get BC=16


A proportional relationship is shown in the table below:
X - 0 0.3 0.6 0.9 1.2
Y- 0 1 2 3 4
What is the slope of the line that represents this relationship?
Graph the line that represents this relationship.

Answers

Answer:

slope intercept for is y=MX+b and to find the slope it's y1-y2/x1-x2

The slope would be 10/3.

And the line should intersect at the origin (0,0) and the second dot should be at the point (3,10)

Find the length of the segment indicated. Round your answer to the nearest tenth. Please and thank you so very much!!!

Answers

Answer:

14.7

Step-by-step explanation:

The given horizontal line is in the center of the circle (indicated by the black dot in the middle), so you can divide 17.5 by 2 in order to find the length of the leftmost segment of the triangle (8.75).

To solve for x, we use the pythagorean theorem as this is a right triangle:

[tex]a^{2} + b^{2} = c^{2}[/tex]

[tex]11.8^{2} + 8.75^{2} = x^{2}\\139.24 + 76.5625 = x^{2}\\215.8025 = x^{2}\\x = 14.6902178...[/tex]

This is 14.7 when rounded to the nearest tenth

John is 62 inches tall. He is stacking algebra books on his desk. His teacher tells him not to make the stack taller than his own height. The top
of his desk is 32 inches from the floor, and each book is 1.5 inches thick. John wants to write an inequality to show how many books he could
stack.
Which inequality sign should John use?

Answers

Answer:

The answer would be [tex]\leq[/tex] :)

Step-by-step explanation:

The equation would look like this :)

1.5x + 32 [tex]\leq[/tex] 62

Have an amazing day!!

Please rate and mark brainliest!!

x is proportional to root y where y>0

Answers

Answer:

x is proportional to √y where y > 0

Step-by-step explanation:

A tree is 7 feet tall. If it grows 9 inches each year, how tall will the tree be in 10 years

Answers

Answer:

174 in.
14.5 ft.

Step-by-step explanation:

1. 7ft = 84in

2. 9in x 10 = 90

3. 84in + 90in = 174 in

How many ways can 8 books be arranged on a shelf? Show all of your work for full credit.

Answers

Answer:

There are 40,320 ways, in which 8 books can be arranged on a shelf.

Solution:

Here, we are to find the number of ways in which 8 books can be arranged on a shelf. The total number of books is 8 and the way of arranging books is also 8.

If one book is placed in the first place, then 7 books will be placed in front of it. If 2 books are placed in the 2nd place, then only 6 books can be placed after that book. This sequence will continue till 1 .

Permutations :

A permutation is an arrangement of objects in a definite order.

P ( n, r )= n ! / ( n - r ) !

n = total number of objects

r = number of objects selected

The number of ways to arrange 8 books on a shelf will be :

P ( n, r ) = n ! / ( n - r ) !

P ( n, r ) = 8 ! / ( 8 - 8 ) !

P ( n, r ) = 8 ! / 0 !

P ( n, r ) = 8 × 7 × 6 × 5 × 4 × 3 × 2 × 1 / 1

P ( n, r ) = 40, 320

‎ㅤ‎ㅤ‎ㅤ‎ㅤ‎ㅤ‎ㅤ~ Hence, there are 40,320 ways in which 8 books can be arranged on a shelf !

If the 3 books can't be together (but any 2 of the 3 can be) then it's 36,000 ways. If any one of the 3 books can't touch either of the other 2, it's 15,840 ways.

Explanation:

I'm not sure if the question is saying that all three books can't be together in a group (and so biology and history can be together, but biology, history and programming can't), or if the books in that group can't sit next to other books in the group (and so biology and history can't be together). Let's do it both ways - case 1 will be all three together and case 2 will be any 2 together.

Before we work this, let's first see the number of ways we can have all 8 books arranged. Order matters and so we can approach this using a permutation equation. Moreover, since we're using all the books, we'll end up with the total number being:

8 ! = 40 , 320 .

options are

a) -2 and 12/5
b) 1 and 2
c)8/3 and 2
d) 3 and 4

Answers

A) 1 and 2
That is the correct answer

what us the circumference of circular ground of diameter d m ? find it.
answer:
[tex]\pi d \: m[/tex]
can you explain me how?​

Answers

Here the diameter = dm

Formula of circumference for circle: 2πr  or  πd

                                        where "d" is diameter and "r" is radius

diameter = 2(radius)

For this question:

circumference:

π(d)π(dm)πdm

The price of an item has been reduced by 45 percent The original price was 99
awnser pls

Answers

54.45 is the correct answer

The scores of an eighth-grade math test have a normal distribution with a mean mu = 83 and a standard deviation sigma = 5. if din’s test score was 92, which expression would she write to find the z-score of her test score? z = startfraction 92 minus 83 over 83 endfraction z = startfraction 83 minus 92 over 5 endfraction z = startfraction 92 minus 83 over 5 endfraction z = startfraction 5 minus 83 over 92 endfraction

Answers

The z-score is the ratio of the difference of sample and means to the standard deviation. Then the correct option is A.

What is a z-score?

The z-score is a numerical measurement used in statistics of the value's relationship to the mean of a group of values, measured in terms of standards from the mean.

The scores of an eighth-grade math test have a normal distribution with a mean of 83 and a standard deviation of 5. If the x is 92. Then the test score will be

The z-score will be given as

[tex]z = \dfrac{x - \mu}{\sigma }\\\\z = \dfrac{92 - 83 }{5}[/tex]

More about the z-score link is given below.

https://brainly.com/question/15016913

Answer:

A

Step-by-step explanation:

edge 2022

Round 15.209 to the nearest hundreth
A. 15.21
B. 15.20
C. 15.2
D. 16​

Answers

Answer:

A.15.21

Step-by-step explanation:

In rounding of numbers when the next number is greater than 5 u round it on next number by adding one

Eighth grade

CC. 14 Box plots Y Z

Mrs. James, a sixth grade teacher, recorded how many minutes each student reported

reading over winter break.

Time spent reading (min. )

+

0

100

200

300

400

500

What was the upper quartile of the time spent reading?

minutes

Submit

Answers

The upper quartile of the time spent reading, as shown in the box plot is: 300.

What is the Upper Quartile of a Data in a Box Plot?

In a box plot, the upper quartile is represented by the data point located at the end of the edge of the rectangular box in the box plot.

In the box plot, 300 is the value located at the end of the edge of the rectangular box.

Therefore, the upper quartile of the time spent reading, as shown in the box plot is: 300.

Learn more about upper quartile on:

https://brainly.com/question/10353201

What’s the scale factor? Quick

This is on ixl and I have to get at least a 90

Answers

Answer:

4

Step-by-step explanation:

We start with the smaller shape. We look at each coordinate and we multiply by 4. That will give us the coordinates for the bigger shape.

Find the x-intercept and y-intercept of the line

4x-6y=36

Answers

Step-by-step explanation:

4x - 6y = 36

x intercept: 9, 0

y intercept: 0, 6

Hi I could use some help with this, thank u!

Answers

Alright let's solve this step by step:

Question 1: Find the perimeter of the baseDefinition of Perimeter: is all the side length of the shapes added up

            ⇒ Perimeter = 6 + 6 + 6 + 6 + 6 + 6 + 11 + 11 = 58 km

Question 2: Height of PrismDefinition of height: is the distance from the base of the figure to the top base of the figure

            ⇒ Height = 4.3km

Question 3: Lateral AreaDefinition of Lateral Area: area of nonbase face only

        ⇒ area of the two rectangles on the narrower side of the figure

            ⇒ plus the area of the pentagon on the wider side of the figure

Area of Pentagon

                 = [tex]\frac{1}{2}(base1+base2)*height = \frac{1}{2} *(6 + 11) *4.3=36.55km^2[/tex]

Area of Rectangle = 6 * 5 = 30 km^2

   Total Area = 36.55 + 36.55 + 30 +30 = 133.1 km^2

Question 4: Find the area of the base

    Area of the two bases = 6 * 6 + 6 * 11 = 36 + 66 = 102 km^2

Question 5: Find the surface area of the figureDefinition of the Surface Area: it is a measure of the total area that the surface of the object occupies

     ⇒ Surface Area = Lateral Area + Base area = 133.1 + 102 = 205.1 km^2

Hope that helps!

Other Questions
Say thanks! I just did this because I have 1,633 points (Now 1,533 I think) SOOO first comes first served 2. How long would it take a car to reach 50 m/s if they accelerated at a constant rate of 5.44m/s?? Assume the car begins at rest. 3. Fengxia is a daughter of the new China. What does it mean for the daughter of the new China to be silentor silenced? Why is she the one who cannot speak?4. Yongqing is the son of Fugui and Jaizhen. Sons have long been preferred in Chinese society. He ispampered, yet nevertheless, he dies young. It is an old friend, who is now a communist party leader, whohas accidentally killed the boy. What might be the significance of that death?5. Wan Er'xi is the husband of Fengxia. Why is he considered a suitable husband for Fengxia?6. Long'er represents the old culture. He has won the house from Fugul. What happens to him and whatmight it mean?7. The shadow puppet show is a recurring motif in the film. Keep track of the times the shadow puppetsappear or are referred to in the film. 8. Social structures: Make note of the types of community interaction and traditions in the film. Observe theroles of grandparents, parents, and children9. Make note of the number of different campaigns of conflicts in the film. (Examples: Civil War, land reform,landlord and counterrevolutionary, Great Leap Forward, Great Proletarian Cultural Revolution (1966-1976). barefoot doctors) #1 Please answer, i'm timed (EDGE 2022) In all the crosses the two genes under investigation were on different chromosomes. If the two genes were on the same chromosome rather than different chromosomes, how would that have affected the results?. if i make 8.50 an hr and i work 30 hours a week 5 days a week how much would i make in a month? pls help with math it is due soon suppose a firms operating under cournots duoploy model sell a product to the market total market share is determined as 10,000 units what is the amount in units of the product that each firm can supply to the market the mp of a radio is 20 percent more than its cp. the radio is sold to make the profit of 10 z. If the profit is Rs 80 , what is the mp? 2x+2=4 solve for x please help me solve this problem Locate the verb shiver in line 2. Which definition seems to fit this use?to quiver or vibrateto break into small pieces can someone answer this? What is (-3+5x)= 9? What region(s) of the world do you think has the HIGHEST gender Inequality? Why would a performer say some words louder than others when reading a poem aloud? A. to help the rhythm B. to highlight a rhyme C. to add to the imagery D. to provide emphasis pleaseeeeeeeeee i need some help here For which value of theta is sine theta = negative 1?A unit circle is shown. A radius with length 1 forms angle theta in the first quadrant.StartFraction pi Over 2 EndFractionPiStartFraction 3 pi Over 2 EndFraction2 pior (A.K.A)For which value of is sin = -1?A. /2B. C. 3/2D. 2 allie went trick - or - treating one day. she wanted to dress up as a princess but her costume costs $340. she only as $119. how much money does allie need for her costume?my sister needs help.....ughhhh shess soo annoyinggggg like dam SPANISH HW PLEASE HELP ME!!!!!!!! god bless you amen ! How do you solve this? I don't understand ted collected 22 pounds of aluminum cans, how many ounces of aluminum cans did he collect?