Find the lateral and surface area of each cone

Find The Lateral And Surface Area Of Each Cone

Answers

Answer 1

Answer:

[tex]\large\boxed{L.A.=153\pi\ mm^2}\\\boxed{S.A.234\pi\ mm^2}[/tex]

Step-by-step explanation:

The formula of a lateral area of a cone:

[tex]L.A.=\pi rl[/tex]

r - radius

l - slant height

The formula of a surface area of a cone:

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

We have r= 9mm and l = 17mm. Substitute:

[tex]L.A.=\pi(9)(17)=153\pi\ mm^2[/tex]

[tex]S.A.=\pi(9^2)+153\pi=81\pi+153\pi=234\pi\ mm^2[/tex]


Related Questions

PLEASSE HELP!! WILL MAKR BRAINLIEST IF CORRECT!!!

Answers

Answer:

b. 26cm

oop I didn't realize this was in 2019:-:

Find the experimental probability that the first three students to arrive at school are boys

Answers

Answer:

that depends

Step-by-step explanation:

how many students are in the school all together, see you would do the 3 boys over the number of people (or students) in the school

hoped this helped a little

You start driving north for 32 miles, turn right, and drive east for another 24 miles.
How many miles must you travel to return directly back to your starting point?

Answers

Answer:

  40 miles

Step-by-step explanation:

You can recognize the right triangle as a 3-4-5 right triangle with a scale factor of 8. So the length of the hypotenuse is 8·5 = 40 miles.

___

Or, you can use the Pythagorean Theorem, which tells you that the sum of the squares of the leg distances will equal the square of the straight-line (hypotenuse) distance:

  32² + 24² = h²

  1024 +576 = h² = 1600

  h = √1600 = 40 . . . . miles

Marilyn lives 3.5 block from the library. She leaves the library and walks 3.5
blocks before realizing she is walking in the opposite direction from her house.
After walking 3.5 blocks back, how far does Marilyn have to walk?

Answers

Answer:

3.5 blocks.

Step-by-step explanation:

After walking 3.5 blocks back she is back at her starting point.

Final answer:

Marilyn has walked 7 blocks in total, going the wrong direction and back to the library. She still needs to walk another 3.5 blocks to reach her house.

Explanation:

Marilyn has already walked 7 blocks (3.5 blocks in the wrong direction and 3.5 blocks back to the library). As her house is 3.5 blocks from the library, she has another 3.5 blocks to walk.

Learn more about Distance Calculation here:

https://brainly.com/question/34212393

#SPJ3

How to solve for x/ extraneous solutions

Answers

Answer:

x = 8

Step-by-step explanation:

[tex]\log_ab=c\iff a^c=b\\\\===================\\\\Domain:\ 8x>0\to x>0\\\\\log_4(8x)=3\iff4^3=8x\\\\8x=64\qquad\text{divide both sides by 8}\\\\x=8\in D[/tex]

b) Are the black triangles above congruent or similar? Explain. (1 point)

Answers

Congruent because it contains the same angle measures and shape.

Answer:

congruent

Step-by-step explanation:

Use the quadratic formula s to solve 2y^2-6y-8=0


{-4,-1}

{4,-1}

{-4,1}

{4,1}

Answers

Answer:

{4, - 1}

Step-by-step explanation:

Given

2y² - 6y - 8 = 0 ← in standard form

with a = 2, b = - 6, c = - 8

Using the quadratic formula to solve for y

y = ( - (- 6) ± [tex]\sqrt{(-6)^2-(4(2)(-8)}[/tex] ) / (2 × 2)

  = ( 6 ± [tex]\sqrt{36+64}[/tex] ) / 4

  = ( 6 ± [tex]\sqrt{100}[/tex] ) / 4

  = ( 6 ± 10 ) / 4

x = [tex]\frac{6+10}{4}[/tex] = [tex]\frac{16}{4}[/tex] = 4

OR

x = [tex]\frac{6-10}{4}[/tex] = [tex]\frac{-4}{4}[/tex] = - 1

Solution is { 4, - 1 }

What is the median of this data set? 100,102,103,106,109

Answers

The answer is 103 because it’s in the “middle”

Median means the middle number.

The answer : 103

Factor completely 3x3 − 6x2 − 24x. 3x(x − 4)(x + 2) 3x(x + 4)(x − 2) 3x(x − 3)(x − 2) 3x(x + 3)(x − 2)

Answers

Answer:

3x(x - 4)(x + 2)

Step-by-step explanation:

Given

3x³ - 6x² - 24x ← factor out common factor of 3x from each term

= 3x(x² - 2x - 8) ← factor the quadratic

Consider the factors of the constant term (- 8) which sum to give the coefficient of the x- term.

The factors are - 4 and + 2, since

- 4 × 2 = - 8 and - 4 + 2 = - 2, thus

x² - 2x - 8 = (x - 4)(x + 2) and

3x³ - 6x² - 24x = 3x(x - 4)(x + 2)

Answer:

3x(x - 4)(x + 2)

Step-by-step explanation:

A company produces and sells widgets and gizmos. In January the company sold 350 items for a total of $9,000. If each widget sold for $35, and each gizmo sold for $22, how many of each item did the company sell? Let x1 = the number of widgets sold and x2 = the number of gizmos sold.

Write an equation relating the number of each item sold to the total number sold: x1 + x2 =

Answers

Answer:

The company sold 100 widgets and 250 gizmos.

Step-by-step explanation:

Let [tex]x_1[/tex] be the number of widgets sold and [tex]x_2[/tex] be the number of gizmos sold.

We are told that the company sold 350 items. We can represent this information in an equation as:

[tex]x_1+x_2=350...(1)[/tex]

We have been given that a each widget sold for $35 and each gizmo sold for $22. The company sold 350 items for a total of $9,000.

We can represent this information in an equation as:

[tex]35x_1+22x_2=9,000...(2)[/tex]

From equation (1), we will get:

[tex]x_2=350-x_1[/tex]

Substitute this value in equation (2):

[tex]35x_1+22(350-x_1)=9,000[/tex]

[tex]35x_1+7,700-22x_1=9,000[/tex]

[tex]13x_1+7,700=9,000[/tex]

[tex]13x_1+7,700-7,700=9,000-7,700[/tex]

[tex]13x_1=1,300[/tex]

[tex]\frac{13x_1}{13}=\frac{1,300}{13}[/tex]

[tex]x_1=100[/tex]

Therefore, the company sold 100 widgets.

Substitute [tex]x_1=100[/tex] in equation (1):

[tex]100+x_2=350[/tex]

[tex]100-100+x_2=350-100[/tex]

[tex]x_2=250[/tex]

Therefore, the company sold 250 gizmos.

Answer:

  x1 + x2 = 350

Step-by-step explanation:

The total number of items sold is the sum of the number of widgets sold and the number of gizmos sold:

  (widgets sold) + (gizmos sold) = total items sold

We are supposed to represent widgets sold using x1, and gizmos sold using x2. The total number of items sold is given in the problem statement as 350. Substituting these values into the above equation, we get the equation you're looking for:

  x1 + x2 = 350


How many floors does she travel?

Answers

Answer:

15 floors

Step-by-step explanation:

She parks on the third floor below ground +3

She goes up to the twelfth floor +12

3+12=15

which of the following represents the best way to calculate the area of the shaded region?

Answers

Errrrrrr what following. I know that you need to separate the parts into simple shapes eg:triangle and then find the area of all the shapes and add up. All the shapes should make up the shaded area.

Answer:

b

Step-by-step explanation:

Factor this expression

Answers

Answer:

x^2+6x+9

(x+3)^2

Step-by-step explanation:

Carl and Laura are reading different copies of the same book. Carl has already read 10 pages of his copy of the book when Laura begins reading her copy of the book. A system of equations can be used to compare the number of pages (y) each person has read x minutes after Laura begins reading her copy of the book. The solution to the system of equations is (40, 50). What does the solution (40, 50) represent in this situation?
a.)Carl and Laura have both read 50 pages after Laura has been reading for 40 minutes.
b.)Carl has read 50 pages and Laura has read 40 pages.
c.)Carl has read 40 pages and Laura has read 50 pages.
d.)Carl and Laura have both read 40 pages after Laura has been reading for 50 minutes.

Answers

Final answer:

The solution (40, 50) to the system of equations indicates that after 40 minutes, Laura has read 40 pages and Carl, with a head start, has read a total of 50 pages, option D.

Explanation:

The solution to the system of equations (40, 50) represents the amount of time Laura has spent reading and the number of pages both Carl and Laura have read. In this context, 'x' represents the number of minutes Laura has been reading her copy of the book, and 'y' represents the number of pages each person has read. Therefore, the solution (40, 50) means that after Laura has been reading for 40 minutes, Laura has read 40 pages, and Carl, who had a 10-page head start, has read a total of 50 pages.

A train was traveling at a constant speed.the table below shows the distance,in miles the train traveled for the first 4 hours.Write an equation to represent the relationship between t,the time,and d,the total distance traveled by the train

Answers

Answer:

1 hour 95 min. 2 hour 190 min. third hour 285 min. fourth hour 380 min.

Step-by-step explanation:

In the figure below, angle y and angle x form vertical angles. Angle x forms a straight line with the 50° angle and the 40° angle. Right and solving equations to determine the measure of angle Y.

Answers

Answer:

angle Y = 90 degrees

Step-by-step explanation:

Since it is stated that angle x forms a straight line with the 50 and 50 degree angles, and that angle x is vertical to angle y, we can do 40+50+y=180 to find angle Y.

Find the slope of a line perpendicular to y=3x+7.

Answers

Answer:

m=3

Step-by-step explanation:

Formula for m is m=-1/m

m=-1/3

Find the surface area of the prism.
8 m
7 m
2 m

Answers

Answer:

the surface area of the rectangular prism is 172m

Larry spends 3/4 hour twice a day walking and playing with his dog. He also spends 1/6 hour twice a day feeding his dog. How much time does Larry spend on his dog each day?

Answers

Answer:

1hr 40min.

Step-by-step explanation:

45+45=90+10=100

What is the volume of the prism?



Enter your answer in the box as a mixed number in simplest form.


___ cm³


A rectangular prism with the width as five centimeters, the length as three and a half centimeters and the height as four and a half centimeters.


PLS HELP ASAP!!!

Answers

Answer:

78.75 cm³

Step-by-step explanation:

Volume = Width × Height × Length

V = 5 × 4.5 × 3.5

V = 78.75 cm³

Which of the following best represents the slope of the line? A. -3 B. - 1 3 C. 1 3 D. 3

Answers

Answer: - 1/3 I just saw the other answer and got it wrong so I decided to give u guys the right answer !! :)

How to find the diameter?


I'm confused with where to start with this problem

Answers

Answer:

From the information, we know that the plate will hold 3 pieces of sushi, each with a diameter of 1 1/2 inches, and there be 1/2 inch space from the edge of the of the suchi to the edge of the plate.

The diamter of the suchi plates we need to puchase should be the sum of the diameter of the sushi and the the space between them and the edge of the plate:

  (3 . 1 1/2) + (2 . 1/2)

= (3 . 3/2) + 1

= 9/2 + 1

= 9/2 + 2/2

= 11/2 = 5.5 (inches)

Answer:

From the information, we know that the plate will hold 3 pieces of sushi, each with a diameter of 1 1/2 inches, and there be 1/2 inch space from the edge of the of the suchi to the edge of the plate.

The diamter of the suchi plates we need to puchase should be the sum of the diameter of the sushi and the the space between them and the edge of the plate:

  (3 . 1 1/2) + (2 . 1/2)

= (3 . 3/2) + 1

= 9/2 + 1

= 9/2 + 2/2

= 11/2 = 5.5 (inches)

What is the measure of PRQ?

Answers

Answer:

It makes sense for the answer to be 86 degrees since it's almost a right angle.

Answer:

The correct answer is option C.   86°

Step-by-step explanation:

From the figure we can see a circle.

To find the measure of <PRQ

Consider the triangle PQR,

<PRQ  = <PTR + <RPT

From the figure we get,

<PTR = 102/2 = 51

<RPT = 70/2 = 35

<PRQ  = <PTR + <RPT

51 + 35 = 86°

Therefore the correct answer is option C.   86°

According to the rational root theorem which is a factor of the polynomial f(x)=3x^3-5x^2-12x+20

Answers

Answer:

[tex]f(x)=3(x+2)(x-2)(x-\frac{5}{3})[/tex]

Step-by-step explanation:

The rational roots theorem tells you that given a polynomial function with integer or whole number coefficients, a list of possible solutions can be found by listing the factors of the constant, or last term, over the factors of the coefficient of the leading term.

In your case, for the polynomial [tex]f(x)=3x^3-5x^2-12x+20:[/tex]

the last term is 20;the leading coeeficient is 3.

So, possible rational roots can be among:

[tex]\pm1,\pm2,\pm4,\pm5,\pm10,\pm20,\pm\dfrac{1}{3},\pm\dfrac{2}{3},\pm\dfrac{4}{3},\pm\dfrac{5}{3},\pm\dfrac{10}{3},\pm\dfrac{20}{3}.[/tex]

Note that

[tex]f(-2)=3\cdot (-2)^3-5\cdot (-2)^2-12\cdot (-2)+20=-24-20+24+20=0.[/tex]

This means that [tex]x=-2[/tex] is a root of the polynomial and [tex]x-(-2)=x+2[/tex] is the factor. Also

[tex]f(2)=3\cdot 2^3-5\cdot 2^2-12\cdot 2+20=24-20-24+20=0.[/tex]

This means that [tex]x=2[/tex] is a root of the polynomial and [tex]x-2[/tex] is the factor. Also

[tex]f(\frac{5}{3})=3\cdot (\frac{5}{3})^3-5\cdot (\frac{5}{3})^2-12\cdot \frac{5}{3}+20=\frac{125}{9}-\frac{125}{9}-20+20=0.[/tex]

This means that [tex]x=\frac{5}{3}[/tex] is a root of the polynomial and [tex]x-\frac{5}{3}[/tex] is the factor.

Then

[tex]f(x)=3(x+2)(x-2)(x-\frac{5}{3}).[/tex]

Solve for x: x − 2 > 2x + 12. x > 14 x < 14 x > −14 x < −14

Answers

For this case we must solve the following inequality:

[tex]x-2> 2x + 12[/tex]

We follow the steps below:

We subtract 2x on both sides of the inequality:

[tex]x-2-2x> 2x + 12-2x\\-x-2> 12[/tex]

We add 2 to both sides of the inequality:

[tex]-x> 14[/tex]

We multiply by -1 on both sides of the inequality, taking into account that the sense of inequality changes:

[tex]x <14[/tex]

Answer:

[tex]x <14[/tex]

Answer:

The guys above is wrong because it should be x < -14 because you have to balance out both sides of the equation, you can't just do something to one side of the equation and not do it to the other.

Step-by-step explanation:

Evaluate (−481) power 0

Answers

Any number raised to the power of 0 equals 1.

(-481)^0 = 1

Answer:

1

Step-by-step explanation:

All numbers to the power of 0 is 1 with this reason:

x² = x³/x

x¹ = x²/x

x⁰ = x/x

All numbers divided by itself is 1.

Which quantity is proportional to 90⁄2? Check all that are true. 45⁄1 15⁄3 180⁄3 180⁄4 270⁄8

Answers

Answer:

45/1 and 180/4

Step-by-step explanation:

1. True

[tex]\dfrac{90}{2}=\dfrac{45\cdot 2}{1\cdot 2}=\dfrac{45}{1}[/tex]

2. False

[tex]\dfrac{15}{3}=\dfrac{3\cdot 5}{3\cdot 1}=\dfrac{5}{1}\neq \dfrac{45}{1}[/tex]

3. False

[tex]\dfrac{180}{3}=\dfrac{60\cdot 3}{3\cdot 1}=\dfrac{60}{1}\neq \dfrac{45}{1}[/tex]

4. True

[tex]\dfrac{180}{4}=\dfrac{45\cdot 4}{1\cdot 4}=\dfrac{45}{1}[/tex]

5. False

[tex]\dfrac{270}{8}=\dfrac{135\cdot 2}{4\cdot 2}=\dfrac{135}{4}\neq \dfrac{45}{1}[/tex]

what's 22 * 19 + area model​

Answers

Answer:

(20+2)(10+9)

Step-by-step explanation:

The area model is written as (a+b)(c+d). To write a multiplication problem into an area model, split it into numbers which add to it. Multiples of 10 are most commonly used.

For example 22*19 becomes (20+2)(10+9).

write 9/5 as a sum of unit fractions ​

Answers

Answer:

4/5 + 5/5 = 9/5

Step-by-step explanation:

That's one of many ways you can do it

I think that he answer is 1 4/5

Yuki picked strawberries and placed them in a basket. Yuki ate 12 of the 30 strawberries she picked. What percentage of the strwaberries she picked remain in her basket?

A: 12%
B: 30%
C: 60%
D: 100%​

Answers

It's C that's correct!

Since there's a total of 30 strawberries and Yuki ate 12 strawberries, there will be 18 strawberries left.

To find the percentage of the amount that remained:

18/30 × 100 = 60%

Therefore the correct option is A

Answer:

Yuki picked strawberries and placed them in a basket. Yuki ate 12 of the 30 strawberries she picked. What percentage of the strwaberries she picked remain in her basket?  

A: 12%

B: 30%

C: 60%

D: 100%​

Hope this helps :)

Have a great day !

5INGH

Step-by-step explanation:

30 - 12 = 18

18 / 30 × 100 = 60

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