What is the surface area of the right cone below?

What Is The Surface Area Of The Right Cone Below?

Answers

Answer 1

Answer:

176π [tex]units^{2}[/tex]

Step-by-step explanation:

SA = B + LA  where B is the area of the base (circle) and LA is the lateral area

LA = radius of the circle times the slant height

    = 8π(14) = 112π

B = [tex]8^{2} \pi[/tex] = 64π

SA = 112π + 64π = 176π

Answer 2

The surface area of the right cone is 176π square units.

How to calculate the surface area of a composite figure?

Surface area are derived for some standard shapes like circle, triangle, parallelogram, rectangle, trapezoid, cone etc.

When some shape comes which isn't standard figure, then we find its area by slicing it (virtually, like by drawing lines) in standard shapes. Then we calculate those composing shapes' area and sum them all.

Thus, we have:

[tex]\text{Area of composite figure} = \sum (\text{Area of composing figures})[/tex]

That ∑ sign shows "sum"

We are given that;

The surface area of a right cone is given by the formula:

Surface area=πr(r+l)

where r is the radius of the base and l is the slant height of the cone12.

In this case, r=8 and l=14, so we can plug these values into the formula and simplify:

Surface area=π×8(8+14)

Surface area=π×8×22

Surface area=176π

Therefore, the surface area will be 176π square units.

Learn more about area of a composite figure here:

https://brainly.com/question/10254615

#SPJ7


Related Questions

Tell whether the angles are complementary or supplementary. Then find the value of x.

Answers

Answer:

[tex]1) 3x+45=90[/tex]

[tex]3x=90-45[/tex]

[tex]3x=45[/tex]

[tex]\frac{3x}{3} =\frac{45}{3}[/tex]

[tex]x=15[/tex]

1) The angles are complementary

[tex]--------[/tex]

[tex]2)x-20+x=90\\[/tex]

[tex]2x=90+20[/tex]

[tex]2x=110[/tex]

[tex]x=55[/tex]

2) The angles are complementary

[tex]--------[/tex]

[tex]3)2x+(3x+25)=180[/tex]

[tex]2x+3x+25=180[/tex]

[tex]2x+3x=180-25[/tex]

[tex]5x=155[/tex]

[tex]x=\frac{155}{5}[/tex]

[tex]x=31[/tex]

3) The angles are supplementary

[tex]----------[/tex]

hope it helps..

have a great day!!

For questions 3 that’s all i need help please !!! For a test and please put your answers below !!! It’s not D because one of friends had took it already and told me he choose D and it was incorrect. Thank you.

Answers

Answer:

56,067

Step-by-step explanation:

there are 52 weeks in a year. and they work 40 hours a week.

[tex]26.96*40=1078\\1078*52=56,067[/tex]

Answer:

The answer is C.

Step-by-step explanation:

write the first five terms of the sequence an=3n^2

Answers

Answer:

2,1,0 is the sequence of its terms

A bottle of my favourite drink contains 12% alcohol. On my doctors advice I added 20ml water
to the bottle to reduce the concentration to 10%. What was the quantity of drink in my bottle
initially?

Answers

484848595969696539577589074969594389

The coordinates of the following points represent the vertices of a rectangle. E: (4,2) F: (10,2) G: (10,8) H: (4,8) What is the perimeter, in units, of rectangle EFGH?

Answers

Answer:

Perimeter of rectangle EFGH = 24 unit

Step-by-step explanation:

Given:

E: (4,2)

F: (10,2)

G: (10,8)

H: (4,8)

Find:

Perimeter of rectangle EFGH

Computation:

Distance = √(x1 - x2)² + (y1 - y2)²

Distance between EF = √(4 - 10)² + (2 - 2)²

Distance between EF = √36

Distance between EF = 6units

Distance between FG = √(10 - 10)² + (2 - 8)²

Distance between FG = √36

Distance between FG = 6 units

Distance between GH = √(10 - 4)² + (8 - 8)²

Distance between GH = √36

Distance between GH = 6 units

Distance between HE = √(4 - 4)² + (8 - 2)²

Distance between HE = √36

Distance between HE = 6 units

Perimeter of rectangle EFGH = 6 + 6 + 6 + 6

Perimeter of rectangle EFGH = 24 unit

What is the answer to number 12?

Answers

Answer:

12) 2.5

the height then is 2.5.

Step-by-step explanation:

42.9/3.3 = 13

32.5/13 = 2.5

Have a nice day!

2.5
The person above is correct!!

A rectangle has an area of 4(x + 3) square units. x + 3= width, 4=length Use the distributive property to write an equivalent expression for the rectangle's area. Answer _______​

Answers

Answer:

4x + 12

Step-by-step explanation:

4*x + 4*3 = 4x + 12

Notice what has happened. The plus sign remains.The 4 multiplies by both the x and the 3

That's as far as you can take the problem. You cannot reduce it any further or combine it in any way. The reason is that the x has a 4 in front of it and the 12 has no x.

When those terms are separated by a plus or minus sign, the terms are not the same. Unlike terms cannot be combined.

Answer: 4x+12=4x+12 or 4x+12=4(x+3)

Step-by-step explanation:

(x+3)(4)=4(x+3)  *because length x width=areaDistribute 4 into the parenthesis 4x+12=4(x+3)you can go even further4x+12=4x+12

Hope this helps!

which is it? please answer asap

Answers

Answer:

the difference of m and 5 is graeter than 10

please help only with number one

Answers

Answer:

so, where the dotted line is that is called the height, so you would times it and find your answer.

ANSWER FOR BRAINLY, Geometry composition of transformations from delta, i believe this is a reflection over the y axis im not sure, but

is it a (translation, rotation, or reflection) include units, and directions. always starts at the origin.

Answers

Answer:

First, reflect across the x-axis. Then, reflect across the y-axis. Or you could switch, doesn't matter.

A bag contains 11 red beads, 10 blue beads, and 4 green beads. If a single bead is picked at random, what is the probability that the bead is green?

Answers

Answer:

4/15

Step-by-step explanation:

if the area of square A is 225 ft2 and the area of square B is 400 ft2 what is the area of square c?

Answers

Answer: 575 ft2??

Explanation: If there is a pattern of 175 being added to each square, 225 + 175 = 400 = Square B, than 400 + 175 = 575 = Square C.

I might be incorrect, but this is my best guess! ♡

15w, when w = 12 I need help plz

Answers

Answer:

180...

Step-by-step explanation:

15 x 12 = 180

12x15=180 lolllllllllll

5.08x1.2/1.90+2.0-3.0001=?

Answers

Answer:

2.20832105263

i think it is

Answer:

6.774086

Step-by-step explanation:

What type of angle is angle G?
A. right
B. acute
C. straight
D. obtuse

Answers

Answer:

acute

Step-by-step explanation:

It is a acute angle because a right angle would be like this and the others like the straight and obtuse represent different angels I hope this helped!! Brainiest please

find two mixed number or fractions that have a quotient of 3 1/5

Answers

Answer:

[tex]6 \frac{1}{5} [/tex]

Step-by-step explanation:

31/5

6/1/5

Need help fast please, plz

Answers

Answer:

13. rational, integer, white number, natural

14. irrational

Step-by-step explanation:

the third root of 125 is 5.

so, it is everything of the list except for irrational.

pi is a prime example of an irrational number. any calculation not eliminating the irrational number is also irrational.

Determine the amplitude or period as requested. Period of y = - 1/3 * sin 2x

Answers

Answer:

[tex]Period = \pi[/tex]

Step-by-step explanation:

Given

[tex]y = -\frac{1}{3} * \sin(2x)[/tex]

Required

The period

A sine function is represented as:

[tex]y =A \sin(Bx + C) + D[/tex]

Where

[tex]Period = \frac{2\pi}{B}[/tex]

By comparing:

[tex]y =A \sin(Bx + C) + D[/tex] and [tex]y = -\frac{1}{3} * \sin(2x)[/tex]

[tex]B = 2[/tex]

So, we have:

[tex]Period = \frac{2\pi}{2}[/tex]

[tex]Period = \pi[/tex]

Hence, the period of the function is [tex]\pi[/tex]

PLEASE HELP ME PLZ IN I GET IT RIGHT I WILL GIVE U A BRAINLY AND PLZ NO LINK THAT DON’T HELP AT ALL

Answers

The model represents that 4 divided by 1/3 is 12.

Keep in mind that dividing fractions is the same is multiplying by the reciprocal. The reciprocal of 1/3 is 3/1, or just 3.

The image shows a 4 being divided into 4 groups of 3. When you count the boxes, you can see that there are 12. This means that whatever equation you do, you will want your answer to be 12.

As we stated above, 4 divided by 1/3 is really just 4*3, which equals 12. This confirms that the correct answer is B.

fr plz help i give brainiest

Answers

Answer:

Hello Love! Answer: 8000

volume is just length x width x height

so 20 x 20 x 20 = 8000

Answer:

8,000 in³

Step-by-step explanation:

All you have to do is multiply all the sides so it would be

20 · 20 · 20 = 8,000 in³

Hope this helped.

If you are willing to give me a brainliest you can its your choice.

I just need one more to level up.

Well anyways

STAY SAFE!!!!!

50 pts please help asap !

Answers

Answer:

its 23.5

Step-by-step explanation:

Answer:

d 26

Step-by-step explanation:

AC=24

AB=AC/2=12

AD²=AB²+BD²

AD²=5²+12²=25+144=169

AD=√169=13

AE=2*13=26


Sarah has 35 paperback books and 20 hardback books.
What fraction of the books are hardback

Answers

Answer:

4/11...................

Answer: 4/11

Step-by-step explanation:

The total number of books is 35+20=55, which will be the denominator, because the question is asking what fraction of all the books are hardcover. The number of hardcover books, 20, will be the numerator, so we end up with the fraction 20/55. 20 and 55 are both divisible by 5 (this means that when divided by 5, both numbers have a whole number quotient). 20/5= 4 and 55/5=11

So, the answer is 4/11

This composite figure is made up of three simpler shapes. What is the area of
the figure?
7 cm
4 cm
5 cm
4 CE
8 cm
A. 66 square cm
R 50 square cm
C. 46 square cm
D. 80 square cm

Answers

Answer:

A. 66 square cm

Step-by-step explanation:

HOPE IT HELPSS! :D

The area of a rectangular note card is 35 square inches. The perimeter is 24 inches. What are the
dimensions of the note card?
inches by
inches

Answers

Answer:

5in by 7in

Step-by-step explanation:

2*(l+w)= 24 => l+w= 12

Le= 35

It is easy to see that 35=5*7 and 12= 5+7

So 5 and 7 are the dimensions of the card

An environment engineer measures the amount ( by weight) of particulate pollution in air samples ( of a certain volume ) collected over the smokestack of a coal-operated power plant. Let X1 denote the amount of pollutant per sample when a certain cleaning device on the stack is not operating, and let X2 denote the amount of pollutant per sample when the cleaning device is operating under similar environmental conditions. It is observed that X1 is always greater than 2X2, and the relative frequency behavior of (X1, X2) can be modeled by

f(x,y)= k for 0 <= x <= 2, 0<=y <=1 , 2y<= x and 0 elsewhere

(X and Y are randomly distriibutied over the region inside the tricanle bounded by x=2, y=0 and 2y=x)

a. Find the value of k that makes this a probability desnsity function.
b. Find P >= 3y

Answers

Answer:

[tex]k = 1[/tex]

[tex]P(x > 3y) = \frac{2}{3}[/tex]

Step-by-step explanation:

Given

[tex]f \left(x,y \right) = \left{ \begin{array} { l l } { k , } & { 0 \leq x} \leq 2,0 \leq y \leq 1,2 y \leq x } & { \text 0, { elsewhere. } } \end{array} \right.[/tex]

Solving (a):

Find k

To solve for k, we use the definition of joint probability function:

[tex]\int\limits^a_b \int\limits^a_b {f(x,y)} \, = 1[/tex]

Where

[tex]{ 0 \leq x} \leq 2,0 \leq y \leq 1,2 y \leq x }[/tex]

Substitute values for the interval of x and y respectively

So, we have:

[tex]\int\limits^2_{0} \int\limits^{x/2}_{0} {k\ dy\ dx} \, = 1[/tex]

Isolate k

[tex]k \int\limits^2_{0} \int\limits^{x/2}_{0} {dy\ dx} \, = 1[/tex]

Integrate y, leave x:

[tex]k \int\limits^2_{0} y {dx} \, [0,x/2]= 1[/tex]

Substitute 0 and x/2 for y

[tex]k \int\limits^2_{0} (x/2 - 0) {dx} \,= 1[/tex]

[tex]k \int\limits^2_{0} \frac{x}{2} {dx} \,= 1[/tex]

Integrate x

[tex]k * \frac{x^2}{2*2} [0,2]= 1[/tex]

[tex]k * \frac{x^2}{4} [0,2]= 1[/tex]

Substitute 0 and 2 for x

[tex]k *[ \frac{2^2}{4} - \frac{0^2}{4} ]= 1[/tex]

[tex]k *[ \frac{4}{4} - \frac{0}{4} ]= 1[/tex]

[tex]k *[ 1-0 ]= 1[/tex]

[tex]k *[ 1]= 1[/tex]

[tex]k = 1[/tex]

Solving (b): [tex]P(x > 3y)[/tex]

We have:

[tex]f(x,y) = k[/tex]

Where [tex]k = 1[/tex]

[tex]f(x,y) = 1[/tex]

To find [tex]P(x > 3y)[/tex], we use:

[tex]\int\limits^a_b \int\limits^a_b {f(x,y)}[/tex]

So, we have:

[tex]P(x > 3y) = \int\limits^2_0 \int\limits^{y/3}_0 {f(x,y)} dxdy[/tex]

[tex]P(x > 3y) = \int\limits^2_0 \int\limits^{y/3}_0 {1} dxdy[/tex]

[tex]P(x > 3y) = \int\limits^2_0 \int\limits^{y/3}_0 dxdy[/tex]

Integrate x leave y

[tex]P(x > 3y) = \int\limits^2_0 x [0,y/3]dy[/tex]

Substitute 0 and y/3 for x

[tex]P(x > 3y) = \int\limits^2_0 [y/3 - 0]dy[/tex]

[tex]P(x > 3y) = \int\limits^2_0 y/3\ dy[/tex]

Integrate

[tex]P(x > 3y) = \frac{y^2}{2*3} [0,2][/tex]

[tex]P(x > 3y) = \frac{y^2}{6} [0,2]\\[/tex]

Substitute 0 and 2 for y

[tex]P(x > 3y) = \frac{2^2}{6} -\frac{0^2}{6}[/tex]

[tex]P(x > 3y) = \frac{4}{6} -\frac{0}{6}[/tex]

[tex]P(x > 3y) = \frac{4}{6}[/tex]

[tex]P(x > 3y) = \frac{2}{3}[/tex]

The following graph shows the fuel efficiency of a sample of cars. How many
cars get between 10 and 15 miles per gallon?
Fuel Efficiency of Cars
40
35
30
25
20
Number of cars
15
10
0
5
10
15
25
30
20
Miles per gallon
O A. 15
O B. 20
C. 5
D. 40

Answers

Answer:

B) 20

The 10-15 x axis bar graph shows 20 cars on the y axis

What’s the answer to this question?

Answers

I think the answer is C ( 11 )

In circle M, decanted PAMD and PBC are drawn from point P such that

Angle BC = 100 Degrees
Angle CD = 62 Degrees

Which of the following is the measure of angle P?

1. 19
2. 22
3. 34
4. 40

Answers

Answer:

Step-by-step explanation:

can anyone help explain how to solve this?? please

Answers

Answer:

C

Step-by-step explanation:

All four sides of the triangle are 4 cm. An equilateral triangle has equal sides

what is the surface area of this design

Answers

Answer:

the correct answer is 197 in^2

the first answer 197in^2
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