A right cone has a radius of 13 cm and a slant height of 20 cm. Find its surface area.

Question 12 options:



A)

10,618.6 cm2



B)

816.8 cm2



C)

1,347.7 cm2



D)

3,539.5 cm2

Answers

Answer 1

Answer:

[tex]A=1347.7\ cm^2[/tex]

Step-by-step explanation:

Given that,

Radius of a cone, r = 13 cm

Slant height of the cone, l = 20 cm

We need to find the surface area of the cone. The formula for the surface area of the cone is given by :

[tex]A=\pi rl +\pi r^2[/tex]

Put all the values,

[tex]A=\pi r(l + r)\\\\A=\pi \times 13(20 + 13)\\\\A=1347.7\ cm^2[/tex]

So, the surface area of the cone is [tex]1347.7\ cm^2[/tex].


Related Questions

please please please please

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Which question do you need?

Ramona went out with her 3 sisters, they spent $58 plus
9% tax on their meal. They also left a 15% tip. If they divided
up the bill evenly, how much did each of them spend?

Answers

Problem:

Ramona went out with her 3 sisters, they spent $58 plus 9% tax on their meal. They also left 15% tip. If they divided up the bill evenly, how much did each of them spend?

Solution:

[tex] \frac{58 + 58(9\% + 15\%)}{3} [/tex]

[tex] = \frac{58 + 58(0.09 + 0.15)}{3} [/tex]

[tex] = \frac{58 + 58 \times 0.24}{3} [/tex]

[tex] = \frac{58 + 13.92}{3} [/tex]

[tex] = \frac{71.92}{3} [/tex]

[tex] = 23.97[/tex]

Answer:

Each of them did spend $23.97

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An auditorium has 962 seats. There are 37 rows, each with the same number of seats. How many seats are in each row?

Answers

Answer:

26 seats in each row.

Step-by-step explanation:

What is the slope to this?

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Answer:

hozlatie

Step-by-step explanation:

What is the opportunity cost of buying a $.75 soda every school day for three years

Answers

Answer:

$405

Step-by-step explanation:

tongue tied sauces inc finds that the revenue in dollars from the sale of x bottles of barbeque sauce is given by

Answers

Answer:

The answert is "$0.007 / bottle".

Step-by-step explanation:

Please find the complete question in the attachment file.

[tex]\to R(x) =7.5x^{0.7}[/tex]

The  average income:

[tex]\to A(x) = \frac{R(x)}{x} =7.5 x^{-0.3}[/tex]

The change rate on the average revenue:

[tex]\to A'(x) =7.5(-0.3)x^{-1.3}[/tex]

when 81 bottles were produced , then the rate of change in average revenue

[tex]\to =A'(81)\\\\\to -0.007 \ / \ bottle[/tex]

The average income  is decreasing at rate = $0.007 / bottle

The following data is from a simple random sample of 12 students GPAs. 3.12 2.45 4.0 3.76 3.54 2.78 3.39 3.21 1.98 3.43 3.98 2.77 Develop a point estimate of the population mean.

Answers

Answer: 3. 2

Step-by-step explanation:

Given the data:

3.12 2.45 4.0 3.76 3.54 2.78 3.39 3.21 1.98 3.43 3.98 2.77

Point estimate of population mean :

Σx / N

(3.12 + 2.45 + 4.0 + 3.76+ 3.54 + 2.78 + 3.39 + 3.21 + 1.98 + 3.43 + 3.98 + 2.77)

= 38.41 / 12

= 3.2008

Find the arc length of the semicircle. 8

Answers

Answer:

π×8² =

201.0619298297

arc length formular = π ×r²

Clare subscribes to an online music streaming service
for a yearly fee of $96. Starting next month, there will
be a 12% increase in the fee.
The ad for another music streaming service is shown
below. Should Clare switch? Explain.

Answers

Answer:

She should go with service 2 because it is, cheaper. Service 1 cost $107.52, but service 2 cost only $105.

Step-by-step explanation:

Cost now+increase$=new cost

(Part=percent*whole)

Increase=percent increase*cost now

i=12%*$96

i=0.12*96=$11.52

$96+11.52=107.52

Service two⬇️

8.72*12=$105

Yes Clare should switch to service 2 because; cheaper it costs only $105 which is lesser than $107.52

How to Calculate Yearly Fee?

To find the new cost, we will use the expression;

New Cost = Present Cost + increase

However,

Increase = percentage increase * present cost

Increase = 12% * $96

Increase = 0.12 * 96

Increase = $11.52

Thus;

New Cost  = $96 + 11.52

New Cost = $107.52

For Service two;

We are told that digital streaming costs $8.75 per month. Thus;

Cost = 8.75 * 12

Cost = $105

Read more about Yearly fee at; https://brainly.com/question/25109150

#SPJ2

3 (x-2)
4x + 8
3x
What’s the expression for the perimeter of the figures shown? (I NEED HELP ASAP)

Answers

Answer:

1.3x -6 => 3x = 6 => x = 2

2.4x = -8 => x= -2

3.3x => if 3x = 0 ..x is> 0 too

but if 3x= 1 ..x is 1/3

i h○pe it helps u ...:)

Which model represents 2.36 divided by 4?

Answers

Answer:

[tex] = \frac{2.36}{4} \\ = \frac{59}{100} \\ = 0.59[/tex]

Is a 39 Celsius body temperature higher than normal 98 Fahrenheit??

Yes or No

Answers

Answer:

Yes.

Step-by-step explanation:

According to medical science, a body temperature considered normal (that is, below fever) in degrees Fahrenheit is 98ºF, while its equivalent in degrees Celsius is 36.6ºC. Therefore, a body temperature of 39ºC is higher than 98ºF, being equivalent to 102.2ºF.

This is verified by applying the conversion formula from Celcius to Fahrenheit:

(39 x 9/5) + 32 = X

39 x 1.8 + 32 = X

70.2 + 32 = X

102.2 = X

the discount price of a hat is $24. whats the regular price

Answers

is there anymore info

What is n2+5 If n=5?

Answers

Is that cube or n just multiply to 2?

Answer:

15

Step-by-step explanation:

n is 5 so 5 times 2 equals 10 and plus 5 it equal 15

A consumer agency wants to determine which of two laundry detergents, A or B, cleans better. Fifty pieces of fabric are subjected to the same kinds of stains (grass, mud, coffee). Then 25 pieces are randomly assigned to be cleaned with detergent A, and the remaining 25 pieces are cleaned with detergent B. After being laundered, the pieces of fabric are rated on a scale of 1–10, with 1 being the least clean to 10 being the most clean. The mean rating for detergent A is found to be significantly less than the mean rating for detergent B.

Answers

Answer:

B is the better detergent

Step-by-step explanation:

If A has a lower number on the 1-10 scale, that means on average it was closer to the lower end, or the least clean end. This means that A cleans worse than B., and B is better.

The two laundry detergents B cleans better.

Although the questions seems to be tricky at the begging because of a lot of numbers, but actually it is not.

Given to us in the question that, 25 pieces are randomly assigned to be cleaned with detergent A, and the remaining 25 pieces are cleaned with detergent B.

Thus, we can say that the sample size for both detergent A and detergent B is same. Also, the sample is distributed randomly meaning the sample is unbiased (fair).

Also, as given the mean rating for detergent A is found to be significantly less than the mean rating for detergent B. And we know that the mean is the average of a set of given numbers.

Therefore, we can conclude that if detergent A has a lower mean meaning, it has cleaned the clothes with less effectiveness as compared to detergent B.

Hence, Out of the two laundry detergents, B cleans better.

To know more visit:

https://brainly.com/question/16967035


Gabriel lives and works in Michigan, which has a flat state income tax of
4.25%. If his annual salary is $69,255 and he gets paid once a month, how
much is withheld from his gross income for state income tax each pay
period?

Answers

Answer:4,050

Step-by-step explanation:

Withholding Rate: 4.25% | Personal Exemption: $4,400 | 2019 Michigan Income Tax Withholding Tables. Withholding Rate: 4.25% | Personal Exemption: $4,050 | 2019 Michigan Income Tax Withholding Tables.

If f(x) = 9x -2 and g(x) =-2x?, what is the value of f(4) - 9(4)?

Answers

f(4)=9*4-2 =34 & g(4)= -2*4 =-8 then,

f(4)- g(4) = 34+8= 42

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Instructions: Find the angle measures given the figure is a rhombus.
Please Help!

Answers

Answer:

30

Step-by-step explanation:

since this is rhombus 1 2 3 4 must be equal

|NP|=|MN|

so 180-120=60

60/2=30

Answer: All four angles (angle1,2,3,4) are 30 degrees each

===========================================================

Explanation:

A rhombus has all four sides that are the same length. Think of a square, but we don't necessarily need to have all four angles be 90 degrees (as the diagram indicates).

Focus on triangle MNP. We have N = 120 degrees. We also know that MN = NP due to the fact all four sides of a rhombus are the same length.

This immediately leads to triangle MNP being isosceles. The base angles opposite the congruent sides are congruent angles. So angle 1 and angle 3 are the same measure. For triangle MNP, angle M and angle P are the same.

Let's find the missing angle

M+N+P = 180 ... angles of a triangle add to 180

M+120+M = 180 ... plug in N = 120, replace P with M

2M+120 = 180

2M = 180-120 ... subtracting 120 from both sides

2M = 60

M = 60/2 .... dividing both sides by 2

M = 30

So N is also 30 degrees

------------------------

We've found that both angle 1 and angle 3 are 30 degrees each.

Any rhombus is a parallelogram, which means that angles 1 and 4 are congruent alternate interior angles. Similarly, angles 2 and 3 are the other pair of alternate interior angles.

Therefore, we can say

angle 1 = angle 4 = 30 degrees

angle 2 = angle 3 = 30 degrees

i dont smoke cause nobody want the smoke

Answers

Answer:

Points Yay Woop Woop

Step-by-step explanation:

Pointsssssss

15x+98=105 What is the value of x and please show your work. :) ​

Answers

Answer:

15x+98=105

      -98    -98

15x=7

/15    /15

x=7/15

Step-by-step explanation:

x=7/15

A researcher wishes to conduct a study of the color preferences of new car buyers. Suppose that 50% of this population prefers the color green. If 16 buyers are randomly selected, what is the probability that exactly 10 buyers would prefer green

Answers

Answer:

[tex]P(X=10) = 0.1222[/tex]

Step-by-step explanation:

Represent Green with G

So,

[tex]G = 50\%[/tex]

Required

Determine the probability that 10 out of 16 prefer green

This question is an illustration of binomial distribution and will be solved using the following binomial distribution formula.

[tex]P(X=x) = ^nC_xG^x(1-G)^{n-x}[/tex]

In this case:

[tex]n = 16[/tex] -- number of people

[tex]x = 10[/tex] -- those that prefer green

So, the expression becomes:

[tex]P(X=10) = ^{16}C_{10}G^{10}(1-G)^{16-10}[/tex]

[tex]P(X=10) = ^{16}C_{10}G^{10}(1-G)^{6}[/tex]

Substitute 50% for G (Express as decimal)

[tex]P(X=10) = ^{16}C_{10}*0.50^{10}*(1-0.50)^{6}[/tex]

[tex]P(X=10) = ^{16}C_{10}*0.50^{10}*0.50^{6}[/tex]

Apply law of indices

[tex]P(X=10) = ^{16}C_{10}*0.50^{10+6[/tex]

[tex]P(X=10) = ^{16}C_{10}*0.50^{16[/tex]

Solve 16C10

[tex]P(X=10) = \frac{16!}{(16-10)!10!} *0.50^{16[/tex]

[tex]P(X=10) = \frac{16!}{6!10!} *0.50^{16[/tex]

[tex]P(X=10) = \frac{16*15*14*13*12*11*10!}{6!10!} *0.50^{16[/tex]

[tex]P(X=10) = \frac{16*15*14*13*12*11}{6!} *0.50^{16[/tex]

[tex]P(X=10) = \frac{16*15*14*13*12*11}{6*5*4*3*2*1} * 0.50^{16[/tex]

[tex]P(X=10) = \frac{5765760}{720} * 0.50^{16[/tex]

[tex]P(X=10) = 8008 * 0.50^{16[/tex]

[tex]P(X=10) = 8008 * 0.00001525878[/tex]

[tex]P(X=10) = 0.12219231024[/tex]

[tex]P(X=10) = 0.1222[/tex]

Hence, the required probability is 0.1222

In the month of Nov Pharoah company inc wrote checks in the amount of$10310. In dec checks in the amount of $ 11785 were written. In Nov $8580 of these checks were presented to the bank for payment, and $10770 in dec
What is the amount of outstanding checks at the end of Nov and at the end of Dec.

Answers

Answer:

the amount of outstanding checks at the end of Nov and at the end of Dec is $1,730 and $1,015 respectively

Step-by-step explanation:

The computation of the amount of outstanding checks at the closing of Nov and dec is as follows

Particulars             November        December

Written checks     $10,310              $11,785

Less:

Presented checks  -$8,580            -$10,770

Outsanding checks $1,730              $1,015

Hence, the amount of outstanding checks at the end of Nov and at the end of Dec is $1,730 and $1,015 respectively

The length of a rectangle is 2 units more than the width. The area of the rectangle is
35 units. What is the width, in units, of the rectangle?

Answers

Answer:

7

Step-by-step explanation:

Area of the value of area

Please help it says im wrong im giving brainliest

Answers

Answer:

ohh

Step-by-step explanation:

Answer:

1:5

Step-by-step explanation:

It is asking you to simplify the ratio, although it gave the unsimplified ratio to you below the diagram.

1/5=3/15

HTH :)

what is 6 to the 8th power simplified??
hurry help me!!​

Answers

Answer:

[tex]6^{8}[/tex]

Step-by-step explanation:

Di ako sure sa sagot ko.

(I'm not sure with my answer)

Tony can type at a constant rate of 110 words every 2 minutes.

Write an equation for the number of words, W, Tony can type in T minutes.

Answers

Answer:

W = 55T

Step-by-step explanation:

He types 110 / 2 = 55 words every minute. Thus, W = 55T

Write 3/5 as a percent. Remember it has to be out of 100 so first make an equivalent fraction with 100 as your bottom number and then you can make it into a percent. Here’s an example: 9/10 = 90/100 = 90%

Answers

60% as 1/5 is 20% so that times by three is 30%

Answer:

60%

Step-by-step explanation:

3÷5 =

0.6

0.6×100

=60%

PLEASE I NEED THIS ANSWER AND IM OUT OF SCHOOL FOR THE WEEKEND

Answers

Answer:

hate to break it to ya but their is no question-

Step-by-step explanation:

A what you need help with

Step-by-step explanation:

A={b,l,o,u,s,e} and U={a,b,c,d,e,f,g,h,i,j,k,l,m,n,o,p,q,r,s,t,u,v,w,x,y,z}.

Answers

Answer:

oof

Step-by-step explanation:

Blouse

The Alphabet

Which of the following terms correctly describe the object below?
Check all that apply.

Answers

Answer

Just check them all
check them all it’s right is
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