The surface area of a cone with radius r units and slant height s units is shown below: Surface area = 3.14(rs + 2) Part A: Ifr= 6 units and s = 4 units, write an expression that can be used to calculate the surface area of the cone. (4 points) Part B: What is the surface area of the cone? Show your work. (6 points) ​

The Surface Area Of A Cone With Radius R Units And Slant Height S Units Is Shown Below: Surface Area

Answers

Answer 1

Answer:

188.4 units²

Step-by-step explanation:

Hi there!

Part A

Surface area of a cone = [tex]3.14(rs+r^2)[/tex] where r is the radius of the base and s is the slant height

r = 6

Replace r with 6

[tex]3.14(6s+6^2)[/tex]

s = 4

Replace s with 4

[tex]3.14(6*4+6^2)[/tex]

Part B

Evaluate the expression found in Part A:

[tex]3.14(6*4+6^2)[/tex]

Find 6²:

[tex]=3.14(6*4+36)[/tex]

Find 6*4:

[tex]=3.14(24+36)[/tex]

Find 24+36:

[tex]=3.14(60)\\=188.4[/tex]

Therefore, the surface area of the cone is 188.4 units².

I hope this helps!


Related Questions

Daria needs to fill 4 gift baskets equally with bags of candy and boxes of cookies. She has 12 bags of candy and 8 boxes of cookies and wants to give all of them away.

Which expression should be used to determine the total number of bags of candy and boxes of cookies she will place in each basket?

A. (12 + 8) times 4
B. 12 + (8 divided by 4)
C. (12 divided by 4) + (8 divided by 4)
D. (12 + 8) divided by (8 + 12)

Answers

Answer:

C

Step-by-step explanation:

hope it helps!!!!!!!!

i need a little help here, im struggling rnn

Answers

Answer:

-7, -11

Step-by-step explanation:just count down and up how many steps

Emmet went blueberry picking along a 3-mile walking path. He picked blueberries steadily along the walk. When he was finished, he had collected 50 ounces of blueberries.
How many ounces of blueberries did Emmet pick each mile?
Write your answer as a proper fraction or mixed number.

Answers

Answer:

16 2/3 ounces

Step-by-step explanation:

Emmet collected 50 ounces of strawberries along a 3 mile walk, he collected 50/3 = 16 2/3 ounces of strawberries each mile


Write 7,08 x 10" in standard notation

Answers

Answer:

70.8

Step-by-step explanation:

7.08×10 is 70.8

...............

A rental car agency charges $220 per week plus $0.15 per mile to rent a car. How many miles can you travel in one week for $352.00?

Answers

Answer:

880 miles

Step-by-step explanation:

352 - 220 = 132

132 ÷ 0.15 = 880

880 miles

What’s 4,708.06 rounded to the nearest thousand?

Answers

Answer:

when rounding anything that is or is greater than 5 you round up 1.

4,->7<-08.06

so rounding up 1, 4 would turn into 5.

5000 is the answer. Hope it helps

Will give brainliest answer

Answers

Answer:

EquivalentNot equivalentEquivalent

Step-by-step explanation:

For [tex]3^5^m[/tex]:

Just like [tex]9^{0.5m}[/tex] · [tex]9^{2m}[/tex], [tex]3^5^m[/tex] equates to [tex]243^m[/tex].

For [tex]81^m[/tex]:

[tex]81^m[/tex] does not equate to [tex]9^{0.5m}[/tex] · [tex]9^{2m}[/tex].

For [tex]9^{2.5m}[/tex]:

After applying the exponent rule to the equation, it came out to [tex]9^{2.5m}[/tex].


One positive number is 5 more than twice another. If their product is 1827, find the numbers.

smaller number =
larger number =

Answers

9514 1404 393

Answer:

smaller: 29larger: 63

Step-by-step explanation:

If we let x and y represent "one number" and "another", respectively, then the given relations are ...

  x = 5 +2y

  xy = 1827

Substituting for x gives a quadratic in y:

  (5 +2y)(y) = 1827

  2y^2 +5y -1827 = 0 . . . . . written in standard form

We can use the quadratic formula to find the positive value of y that satisfies this:

  y = (-5 +√(5² -4(2)(-1827)))/(2(2)) = (-5 +√14641)/4 = 116/4 = 29

  x = 5 +2(29) = 63 . . . . using the above expression for x

The smaller number is 29; the larger number is 63.

Rewrite the expression in the form b^n b^10÷b^6=

Answers

Answer:

[tex] {b}^{10} \div {b}^{6} = {b}^{4} \\ \\ \frac{ {b}^{10} }{ {b}^{6} } = b^{10 - 6} = {b}^{4} [/tex]

I hope I helped you^_^

A boat’s sail is a right triangle the the length of one side of the sail is 7 feet more than the other side the hypotenuse is 13 feet find the lengths of the sides of the sail

ANSWER QUICK 75 POINTS!!!!!
Identify the property that justifies each step asked about in the answer area below.
Line 1: 3(2+9x)
Line 2: 3(9x+2)
Line 3: 27x+6

Line 1 to Line 2:__________
Line 2 to Line 3:__________

Answers

Answer:

Line 1 to Line 2:Commutative property of addition

Line 2 to Line 3:Distributive property

Step-by-step explanation:

Line 1: 3(2+9x)  Given

Line 2: 3(9x+2)  Commutative property of addition

Line 3: 27x+6 Distributive property

Answer:

Line 1-Line 2=Commutative property

Line 2-LIne 3=Distributive property

Step-by-step explanation:

Lets solve

[tex]\\ \rm\longmapsto 3(2+9x)[/tex]

Commutative Property

[tex]\\ \rm\longmapsto 3(9x+2)[/tex]

Distributive property

[tex]\\ \rm\longmapsto 27x+6[/tex]

Determine the rate the airplane
needs to travels to fly 2000 miles
in 5 hours

Answers

Answer:

the airplane needs to travel 400 mph to reach 2000 miles in 5 hours

Julie and Shawna ordered a pizza. Julie ate 3/8 of the pizza and Shawna ate 5/16 of the pizza. Who
ate more of the pizza? Justify your answer with work or an explanation.

Answers

Julie ate more of the pizza, as 3/8 is bigger than 5/16

Simplify. 2–3 Write your answer in the form a+b.

Answers

Answer:

2 + -3

Step-by-step explanation:

2 - 3 in the form a + b is:

2 + -3

where a = 2

and b = -3

Solve equation by completing the square.

Answers

Answer:

x=3 and x=5

Step-by-step explanation:

x2−8x+15=0

To solve the equation, factor x2−8x+15 using formula x2+(a+b)x+ab=(x+a)(x+b). To find a and b, set up a system to be solved.

a+b=−8ab=15

Since ab is positive, a and b have the same sign. Since a+b is negative, a and b are both negative. List all such integer pairs that give product 15.

−1,−15−3,−5

Calculate the sum for each pair.

−1−15=−16−3−5=−8

The solution is the pair that gives sum −8.

a=−5b=−3

Rewrite factored expression (x+a)(x+b) using the obtained values.

(x−5)(x−3)

To find equation solutions, solve x−5=0 and x−3=0.

x=5x=3

hope it helps :)

a retailer allows is 15% discount on the mp of electric fan if a customer pays rs 2244 with 10% vat find the mp of the fan​

Answers

Answer:

LetmarkedPricebeRsxofelectricfan

∴9%discountonxRupees

andchargestocustomeris728rupees

∴x−1009x=728,10091x=728,91x=728×100,x=756×100=800rupees

Step-by-step explanation:

MP of the fan​ is 2400.

To  find the mp of the fan​.

What is profit and loss?

To buy goods from the shopkeepers in the market which they buy either directly from the manufacturers or through the wholesalers.

Given:

let’s calculate backwards :

2244 = 100% sale price + 10% VAT = 110%

1% = 2244 / 110 = 20.40

100% (actual sale price) = 20.40×100 = 2040

Now, because of the 15% discount, these 2040 are only 85% of the originally marked price.

2040 = 85%

1% = 2040 / 85 = 24.00

100% (the original marked price) = 24×100 = 2400

2244 is the final price. it includes the VAT based on the actual sale price. and that is then actually 15% lower than the originally marked price.

So, the MP of the fan​ is 2400.

Learn more about profit and loss here:

https://brainly.com/question/24431998

#SPJ2

The table below shows the price of rolls a bakeryA baker's dozen includes 13 rolls for the price of a dozen rolls. How much money is saved by buying a baker's dozen instead of 13 individual rolls? Please help

Answers

9514 1404 393

Answer:

  (b) $0.60

Step-by-step explanation:

The cost is proportional to the number of rolls. It is $3.60/(6 rolls) = $0.60/roll. When you buy a Baker's Dozen, you save the cost of one roll: $0.60.

it's 0.60

have an nice nice nice nice day

Solve equation by factoring.

Answers

Hi ;-)

[tex]x^2+6x-10=30 \ \ /-30\\\\x^2+6x-40=0\\\\a=1, \ b=6, \ c=-40\\\\\Delta=b^2-4ac=6^2-4\cdot1\cdot(-40)=36+160=196\\\\\sqrt{\Delta}=\sqrt{196}=14\\\\x_1=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-6-14}{2}=\boxed{-10}\\\\x_2=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-6+14}{2}=\boxed4[/tex]

The graph below represents the number of books Jaleel has read over the past x weeks.

Books Read
A graph with weeks on the x-axis and number of books on the y-axis. A line goes through points (0, 3), (1, 4), and (2, 5).

Which equation represents the graph?
y = x + 3
y = 3x
y = x – 3
y = one-third x

Answers

Answer:

y + x + 3

Step-by-step explanation:

each point adds an additional 3

Answer:

B is your answer

A man spent 58% of his income and the amount left was GHC 210,000.00
find his income.​

Answers

Answer:

Step-by-step explanation:

$211000 are 100% - 58% = 42% of the (former) income.

Therefore, 1% is 42 times less: 211000/42 = 5023.81,

and the (former) income was 100 times this value, i.e. GHC 502381.

Define a variable and write an inequality for each problem. Then solve.

15. Nineteen more than a number is less than 42.
16. The difference of three times a number and 16 is at least 8.
17. One half of a number is more than 6 less than the same number.
18. Five less than the product of 6 and a number is no more than twice that same number.​

Answers

Answer:

15) n+19<42

16) 3n-16 (less or equal) 8

17) n/2 > n-6

18) 6n-5<2n

Step-by-step explanation:


HELP PLEASE!!!!
What is the slope of the line?

Answers

Answer: slope (m) = - 9/5

Step-by-step explanation:

Find two points = (-4,5) (1, -4)

The slope going uphill is positive and downhill is negative.

Slope m = (y-y)/(x-x)

(5- -4)/-4-1 = - 9/5

Also, start in one point go straight up or down counting, and then go left or right to the other point counting.

please help me solve that question​

Answers

Answer:

i). 14/75 or 19%

ii). 2/25 or 8%

Step-by-step explanation:

i). Using the combinations formula if repetition is allowed

If n choose r,

(r+n-1)!/r!(n-1)!

Where n is the things we have to pick from and r is the objects we want. We want 2 objects and we have 24 objects to pick from.

So our equation will be

(2+24-1)!/2!(24-1)!

(25)!/2!(23)!,

This gives us 300. So there is 300 possible combinations.

Since we have two independent events, we can multiply two events and divide it by 300 to find the probability.

i) There is 14 good defects and 4 major defects so

[tex] \frac{14 \times 4}{300} = \frac{56}{300} = \frac{14}{75} [/tex]

So the probability is 14/75 or 19%

ii) We can do the same thing in question 1

There is 6 minor defects and 4 major so

[tex] \frac{6 \times 4}{300} = \frac{24}{300} = \frac{8}{100} = \frac{2}{25} [/tex]

So this means the probability is 8% or 2/25

Evaluate the expression below ​

Answers

Step-by-step explanation:

6(4+8)

24+48

72 Answer

hope it helps

Answer:

6(x+8)

when the value of x we s equal to 4, then

6(4+8)

Now, by adding 4 and 8, we get

6(12)

6×12

Now, by multiplying 6 and 12, we get

72

How long will it take a car that is travelling with a speed of 45m/s to travel a
distance 500m?

Answers

Answer:

time=distance/speed

time=500/45

time=11.11 sec

Answer:

11 1/9 seconds = time

Step-by-step explanation:

We know that

Distance = rate * time

500 m = 45 m/s * time

Divide each side by 45

500/45 = time

11 1/9 seconds = time


An airport shuttle runs between terminals every 4 minutes with a fixed capacity of passengers. 250 people were in line as of 9:00 am. After the 29th shuttle trip departed, 424 people were in line. If 6 people per minute got in line after 9:00 am, what is the passenger capacity of the shuttle?

Answers

Answer:

18

Step-by-step explanation:

424-250 = 174

174/29 = 6

This means every time the shuttle came to pick people up there would be 6 people they couldn't take. So if the shuttle takes 4 minutes to come back and 6 people were to get in line per minute there would be 24 extra people waiting. So 24-x = 6, x=18

I did this equation to see how many people would have to go into the shuttle to leave an extra 6 remaining people in line

what is the range of the numbers 5,9,7,2,2

Answers

Answer:

7 is the answer hope this helps

Helppppp plzzzzzzz!!!!!!!! 20+PTS and brainliest!!!!!!!!!!!!!!!

Answers

Answer:

slope is -1/25. This slope in context means that the car can drive 25 miles per gallon. the y int is 15. in context to the problem, the car started with 15 gallons in its tank.

Step-by-step explanation:

plz help brainiest to whoever right

Answers

1/2 bh= area of triangle
S*2= perimeter of rectangle
LW=area of square
4s= perimeter of square
2l+2w= area for rectangle
A + b+ c= perimeter of triangle


Hope this helps *smiles*

Sorry if it’s wrong

Answer:

(1/2)hb = Area of Triangle

s^2 = Area of Square

lw = Area of Rectangle

4s = Perimeter of a Square

2l + 2w = Perimeter of a Rectangle

a + b + c = Perimeter of a Triangle

Solve w = 9x + 5 y for y

Answers

Answer:

w-9x/5=y

Step-by-step explanation:

w=9x+5y

subtract 9x from both sides

w-9x=5y

divide by 5y

w-9x/5=y

w = 9x + 5y
5y = w - 9x

divide everything by 5

y= (1/5)w - (9/5)x

I need some help with this. how many beats per minute?

Answers

The bottom row x axis) is seconds and goes to 6 seconds

Each peak is a heartbeat, there are 9 in the 6 seconds.

A minute is 60 seconds.

60 seconds / 6 seconds = 10

9 beats every 6 seconds x 10 = 90 beats per minute.

The heart rate is 90 beats per minute

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