What is the surface area of a cone that has a radius of 5 units and a height of 10 units?

Answers

Answer 1

235.5 units^2 or 75π

Here is why:

The formula for the surface area of a cone is...

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

Since you didn't specify if you wanted an exact or approximate answer, I will be doing both. The lateral height is l, so I'm going to assume the height you gave is the lateral height. We can now plug everything in.

[tex]SA=(3.14*5*5)+(3.14*5*10)[/tex]

[tex]SA=78.5+157[/tex]

[tex]SA=[/tex]

235.5

Now that we have the approximate answer, we will find the exact answer or the answer in pi.

[tex]SA=(\pi *5*5)+(\pi *5*10)[/tex]

[tex]SA=25\pi +50\pi[/tex]

[tex]SA=[/tex]

75π

~

The approximate answer for the surface area of the cone is 235.5 units^2 and the answer in terms of pi is 75π.


Related Questions

What is the vertex of the graph of the function f(x) = x2 + 8x - 2?
(-4, 18)
(0, -2)
O (-8,-2)
O (-4, -18)

Answers

Answer:

vertex = (- 4, - 18 )

Step-by-step explanation:

Given a parabola in standard form

f(x) = ax² + bx + c ( a ≠ 0 )

The the x- coordinate of the vertex is

[tex]x_{vertex}[/tex] = - [tex]\frac{b}{2a}[/tex]

f(x) = x² + 8x - 2 ← is in standard form

with a = 1 and b = 8 , thus

[tex]x_{vertex}[/tex] = - [tex]\frac{8}{2}[/tex] = - 4

Substitute x = - 4 into f(x) for corresponding y- coordinate

f(- 4) = (- 4)² + 8(- 4) - 2 = 16 - 32 - 2 = - 18

vertex = (- 4, - 18 )

The vertex of the parabola is (-4, -18).

Option D is the correct answer.

What is a function?

A function has an input and an output.

A function can be one-to-one or onto one.

It simply indicated the relationships between the input and the output.

Example:

f(x) = 2x + 1

f(1) = 2 + 1 = 3

f(2) = 2 x 2 + 1 = 4 + 1 = 5

The outputs of the functions are 3 and 5

The inputs of the function are 1 and 2.

We have,

To find the vertex of the function f(x) = x² + 8x - 2, we first need to convert the function into vertex form, which is f(x) = a(x - h)² + k, where (h, k) is the vertex of the parabola.

Completing the square.

f(x) = x² + 8x - 2

f(x) = (x + 4)² - 18

Therefore,

The vertex of the parabola is (-4, -18).

Learn more about functions here:

https://brainly.com/question/28533782

#SPJ5

4. Two non-common sides of adjacent, complementary angles form
a) a straight angle
b) a reflex angle
c) a right angle
d) a linear pair

Answers

Answer:

c) a right angle

Step-by-step explanation:

A right angle can be defined as angles that are created or formed by two non-common sides of adjacent, complementary angles.

These angles have the following attributes:

a) They are angles that are complementary angles. This means that the sum of these angles is equal to 90°

b) The angles are adjacent complementary angles: These means that the angles are next to each other.

Two non-common sides of adjacent, complementary angles form a right angle because they have a common vertex and arm.

Answer:

a right angle

Step-by-step explanation:

I need help ASAP I shall give brainlyist (idk how to spell it)

Answers

Answer:

3014.4ft³

Step-by-step explanation:

V=Πr²h(volume of cylinder)

=(3.14)(8)²(15)

=3014.4ft³

factories fully the flowing
[tex]x^{2} +3x \\2x^{2} -8x \\6x+9x^{2} \\12x^{3} -4x^{2}[/tex]

Answers

Answer:

Given below:)

Step-by-step explanation:

1) (x)(x+3)

2) (2x)(x-4)

3) (3x)(2+3x)

4) (4x^2)(3x+1)

I have factorised all of them by taking the common factor out of each

Find the area of the following trapezium:
26 cm
21 cm
33 cm
Write appropriate units with your answer.

Answers

Answer:

619.5cm2

Step-by-step explanation:

Based on what you defined as the parallel sides been 26cm and 33cm and the height been 21cm.

Hence the are of trapezium is half sum of the parallel sides × height.

Expressed mathematically we have:

1/2( 26 +33) × 21 = 1/2 ( 59) × 21 = (59×21)/2= 619.5cm2


Please Help !
Find The Length Of AC .
Express Your Answer In Terms Of Pi .

Answers

Answer:

AC: 31m or 30.999m

Step-by-step explanation:

Diameter =2R = 24

Circumference = 2πR

= 24π

= 75.398223686155 m

AB = 180  diameter

180-30 = 150 degree

150/30 = 5

360/30 degree = 12

74.398223686155 /12 = 6.19985197385 x 5 = 30.9992598693 = 30.999m

These below are just checkers.

360/74.398223686155 = 4.83882520527 N/a

150/4.83882520527 =30.9992598692 N/a

Me pueden ayudar en este problema de potencia antonio tiene3 cajas , en cada caja hay 3 botones que contienen 3 lapices cuantos lapices habra en total

Answers

Answer:

23 lapices

Step-by-step explanation:

Él tiene 3 cajas.

Cada caja contiene 3 botones.

Cada botón contiene 3 lápices.

La cantidad de lápices que tendrá en total es:

[tex]N = 3 * 3 * 3 = 3^3 = 27[/tex]

Tendrá 23 lápices

Help someone please cuhhhhhhhhhh!!!!!

Answers

Answer:

6^10

Step-by-step explanation:

2+11=13

13-3=10

A car was bought a year ago for £1875. It is now worth £1335. By what percentage has the car depreciated in value? (round to 1 decimal place)

Answers

Answer:

28.8%

Step-by-step explanation:

1875 - 1335 = 540

[tex]\frac{540}{1875}[/tex] x 100% = 28.8%

Simplify the following fraction:147/231


Answers

Answer:

7/11

Step-by-step explanation:

Both the numerator and denominator are divisible by 21.

so:

147 divided by 21 = 7

231 divided by 21 = 11.

When they are re-assembles to a fraction = 7/11

Hope this helps.

Please mark brainiest

the final answer simplified is 7/11 because both the numerator and denominator can be divided by 21. hope that helps!

Draw the line with equation x+y=2

Answers

Answer:

Arrange the variables to y intercept form: y=-x+2. We have the slope is -1, and the y intercept is 2. You should be able to draw a line from here.

Step-by-step explanation:

78% of a number, P, is 23.4 more than 117% of another number, Q. It is further given
that is 40% of P. Find P and Q.

Answers

Answer:

Step-by-step explanation:

"78% of P" looks like this in an algebraic expression: .78P

"117% of Q" looks like this: 1.17Q

"...is 23.4 more than [above]" looks like this: [above] + 23.4

Putting that all together in one equation, knowing that the word "is" means "equals":

.78P = 1.17Q + 23.4

From there, we will now use the fact that Q is 40% of P, which looks like this:

Q = .4P

Now, using that substitution:

.78P = 1.17(.4P) + 23.4 and

.78P = .468P + 23.4 and

.312P = 23.4 so

P = 75

Going back up to what Q is equal to, we will sub in the value of P and solve for Q:

Q = .4P and P = 75, therefore,

Q = .4(75) so

Q = 30

The hard-cover edition of a book cost 3 times as much as the paperback edition. Both editions together cost $26.60. Find the cost of each.

Answers

Answer:

the hardcover is 19.95, and the parback is 6.65. enjoy.

Which of the following is a solution of y - x > -3? (2, -1) (6, 2) (2, 6)

Answers

Answer: (2, 6)

Step-by-step explanation:

y - x > -3

x coordinate is 2 and y coordinate is 6

Plug in the x and y coordinates

6 - 2 = 4

4 > -3

LAST QUESTION!!WILL GIVE BRAINLIEST!!! AT LEAST LOOK!!! SHARE YO SMARTNESS!!! EASY BUT IM DUMB!!!!!!


Which is not a pair of congruent angles in the diagram below?

A) EAB=CDB
B) ABE=DBC
C) AEB=DCB
D) AEB=CDB

Answers

It’s the letter B because angle

Answer:

The Correct answer is D

Step-by-step explanation:

I got it right on my test :)

in a certain year a new bed costs 35000. if the rate of inflation was 20% for the next two years what would the same bed cost at the end of this period​

Answers

Answer:

42000

Step-by-step explanation:

First of all, we need to find 20 percent of 35000.

35000×20 / 100 = 7000

now we increase the bed cost by 20 percent.

35000 + 7000 = 42000

Answer:

5000

Step-by-step explanation:

7 identically sized pieces of timber are x cm long when put together. How long is each individual piece?

Answers

the answer is:
7 divided by x
and x being the length of all of them together since there are 7 identically sized pieces

Answer:

x/7

Step-by-step explanation:

7*y=x

:7     :7

y=x/7

Help please with this question

Answers

Answer:

The third graph down

Step-by-step explanation:

-2.1 w > 12.81

Divide each side by -2.1, remembering to flip the inequality

-2.1w / -2.1 < 12.81/ -2.1

w < -6.1

There is an open circle at -6.1 and the line goes to the left

Answer: Oops its the 3rd answer, my explanation is wrong but the first paragraph has some decent info

Step-by-step explanation:

I could just give you the answer but I want you to intuitively understand it. W is the variable you are looking for, right. So anything shaded on those number lines is going to indicate the value of w. The answer is that w < -6.1

Negative numbers are a little bit tricky when using less and greater than. But basically, less than means closer to 0 and greater than means farther from zero. So this means that w is every single number less than -6.1, or closer to zero and then continuing on in the postive direction.

Now for the little circle on the -6.1:

A circle that is not shaded in means that this value is NOT included. And we can see that the sign is <, not [tex]\leq[/tex]. So we are going to have an open circle from -6.1 that is going closer to zero and beyond. The first answer fits that criteria perfectly

!35 POINTS! Find the total surface area of the following prism! ​

Answers

Total surface area is 152 cm

Answer:

152

Step-by-step explanation:

Why is this still worth 18 points?
because if you math 12+273 it = 8281 or something free point thank

10 pts!
How can you determine if two triangles have a scale factor?

Answers

Answer:

When two triangles are similar, the reduced ratio of any two corresponding sides is called the scale factor of the similar triangles. In Figure 1 , Δ ABC∼ Δ DEF. Figure 1 Similar triangles whose scale factor is 2 : 1. The ratios of corresponding sides are 6/3, 8/4, 10/5. hope that helps love!

Answer:

i dont know but here is some help

Step-by-step explanation:

Scale Factor. Suppose you have two similar figures , one larger than the other. The scale factor is the ratio of the length of a side of one figure to the length of the corresponding side of the other figure. Example: Here, XYUV=123=4 .

NEED HELP ASAP!!
Will give BRAINILESS!!

ATTACHED PICTURE

Answers

Answer

D= t^2 + 5.6

Step-by-step explanation:

D= t + 5.3 x t + 0.3

D= t^2 + 5.6

which of the following descriptions represents the transformation shown in the image?​

Answers

Answer:

C. left two units, up three, reflection on the x = -1

Find the length of side x in simplest radical form with a rational denominator.

Answers

Answer:

x = 2[tex]\sqrt{2}[/tex]

Step-by-step explanation:

Using the sine or cosine ratio in the right triangle and the exact value

cos45° = [tex]\frac{\sqrt{2} }{2}[/tex] , then

cos45° = [tex]\frac{adjacent}{hypotenuse}[/tex] = [tex]\frac{x}{4}[/tex] = [tex]\frac{\sqrt{2} }{2}[/tex] ( cross- multiply )

2x = 4[tex]\sqrt{2}[/tex] ( divide both sides by 2 )

x = 2[tex]\sqrt{2}[/tex]

a car drives at 45 km for 3 hours . how far does the car travel

Answers

Answer:

135 km

Step-by-step explanation:

I assume by 45 km you mean 45 km/h so all you have to do is 45x 3 since the car was driving for 3 hrs.

Answer:

The car traveled 135 kilometres!

Step-by-step explanation:

Here you have to do the speed (45km/h) multiplied by the time (3 hours)

45 x 3 = 135

So the car has traveled 135 kilometres!

HOPE THIS HELPS!!

Mark me brainlest!

write 10 examples of rectangle that you observed in your daily life

Answers

Answer:

-a book

-a flash card

-the american flag

-post-it

-pencil case

-calculator

-phone

-dollar bill

-tv

-ruler

Step-by-step explanation:

________________________________

Hey!!

Ten examples of rectangles that I observed in my daily life are as follows:

BoxtelevisionMobile phoneswhiteboardClipboardCassetteBagChocolateBiscuitRuler

________________________________

Find the surface area of the polyhedra
pls!! show how you got the surface area ​​

Answers

Answer:

164 cm.

Step-by-step explanation:

First, I solved for the bottom and top. 10 times 3 is 30. Then I doubled it because it's the same answer for the bottom and top. I got 60.

Next I solved for the sides. 4 times 3 is 12. Then I doubled it because it's the same answer for both sides. I got 24.

Lastly I solved for the front and back. 10 times 4 is 40. Then I doubled it because it's the same answer for both the front and back. I got 80.

After all this, I added everything together. 60 + 24 + 80 = 164.

Sorry, I'm not the best at explaining things.

Someone please help me :( I’m struggling

Answers

Answer:

ax - by = k

Step-by-step explanation:

A literal equation is an equation made up of variables representing numbers that can be changed

ax - by = k is a literal equation because there are no numbers

Letters stand for each item

Help me solve please

Answers

Answer:

44

Please see the attached picture for full solution

hope it helps...

Good luck on your assignment

Answer:

[tex]44[/tex]

hope this helps you.

brainliest appreciated

good luck! have a nice day!

Do the table and graph represent the same function?

Answers

No because the numbers in the graph don’t match the values in the table

Simplify the following expressions by using distributive property. 3x^2(4x-3)

Answers

Answer:

12x^3-9x^2

Step-by-step explanation:

[tex]3x^2(4x-3)= \\\\3x^2(4x)+3x^2(-3)= \\\\12x^3-9x^2[/tex]

Hope this helps!

Other Questions
work out the surface area of the shapes in the attached file Jacqui makes $35 an hour working as an accounting assistant. She works 40 hours each month. Jacqui will have made $___ after shes worked 7 months. if a car cover a distance of 189km in 4.5 hours, what is it average speed? What does William Wordsworth mean by "heads" in the following bolded line? I wandered lonely as a cloud That floats on high o'er vales and hills, When all at once I saw a crowd, A host, of golden daffodils; Beside the lake, beneath the trees, Fluttering and dancing in the breeze. Continuous as the stars that shine And twinkle on the milky way, They stretched in never-ending line Along the margin of a bay: Ten thousand saw I at a glance, Tossing their heads in a sprightly dance. The waves beside them danced; but they Out-did the sparkling waves in glee: A poet could not but be gay, In such a jocund company: I gazedand gazedbut little thought What wealth the show to me had brought: For oft, when on my couch I lie In vacant or in pensive mood, They flash upon that inward eye Which is the bliss of solitude; And then my heart with pleasure fills, And dances with the daffodils. A. Nature B. Hair C. Flowertops D. Faces Alcatel-Lucent's High Leverage Network (HLN) increases bandwidth and network capabilities while reducing the negative impact on the environment. This works because the HLN:_____________. a. Reduces or eliminates use of finite (non-renewable) radio frequencies utilized by wireless devices. b. Reduces Radio Frequency Interference (RFI) - overcrowding of specific areas of the electromagnetic spectrum. c. Limits the number of people who can access the network at any one time particularly during times of peak energy demand. d. 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