Look at this cylinder:
If the radius and height are doubled, then which of the following statements about its surface area will be true?

Look At This Cylinder:If The Radius And Height Are Doubled, Then Which Of The Following Statements About

Answers

Answer 1
Height=h=8cmRadius=r=4cm

We know

[tex]\boxed{\sf \star TSA_{(Cylinder)}=2\pi r(h+r)}[/tex]

[tex]\\ \sf\longmapsto TSA_{(Old\:Cylinder)}=2\times \dfrac{22}{7}\times 4(8+4)[/tex]

[tex]\\ \sf\longmapsto TSA_{(Old\:Cylinder)}=\dfrac{176}{7}(12)[/tex]

[tex]\\ \sf\longmapsto TSA_{(Old\:Cylinder)}=\dfrac{2112}{7}[/tex]

[tex]\\ \sf\longmapsto TSA_{(Old\:Cylinder)}=301.7cm^2[/tex]

Now

New Radius=2(4)=8cmNew Height=2(8)=16cm

[tex]\\ \sf\longmapsto TSA_{(New\:Cylinder)}=2\times \dfrac{22}{7}\times 8(16+8)[/tex]

[tex]\\ \sf\longmapsto TSA_{(New\:Cylinder)}=\dfrac{352}{7}(24)[/tex]

[tex]\\ \sf\longmapsto TSA_{(New\:Cylinder)}=\dfrac{8448}{7}[/tex]

[tex]\\ \sf\longmapsto TSA_{(New\:Cylinder)}=1204.7cm^2[/tex]

So

[tex]\\ \sf\longmapsto \dfrac{TSA_{(New\:Cylinder)}}{TSA_{(Old\:Cylinder)}}=\dfrac{1204.7}{301.7}[/tex]

[tex]\\ \sf\longmapsto \dfrac{TSA_{(New\:Cylinder)}}{TSA_{(Old\:Cylinder)}}=\dfrac{4}{1}[/tex]

[tex]\\ \sf\longmapsto\underline{\boxed{\bf{ {TSA_{(New\:Cylinder)}}:{TSA_{(Old\:Cylinder)}}=4:1}}}[/tex]

Hence our correct option is Option C


Related Questions

Evaluate Equation

Please Help Me!!

Answers

Answer:

C

Step-by-step explanation:

7+(-4x^2) where x=0, 7+0=7

Answer:

C. 7

Step-by-step explanation:

[tex]7+(-4x^2)[/tex]

Replace x with 0

[tex]7+(-4(0)^2)[/tex]

0 squared is 0. -4 times 0 is also 0.

7+0=7

I hope this helps!

58°
X Х
jsut give a quick

Answers

Answer:

32

Step-by-step explanation:

The sum of the angles of a triangle is 180

58+90+x = 180

148+x = 180

x = 180-148

x=32

Concept

The angle sum property of a triangle:

The total measure of the three angles of a triangle is 180°

Solution

[tex]\large\bf \longrightarrow \: {\underline{\red{x \: + \: 58 \degree \: + \: 90 \degree \: = \: 180 \degree}}}[/tex]

[tex]\large\bf \longrightarrow \: {\underline{\red{x \: + \: 148 \: = \: 180 \degree}}}[/tex]

[tex]\large\bf \longrightarrow \: {\underline{\red{x \: = \: 180 \degree \: - \: 148 \degree}}}[/tex]

[tex]\large\bf \longrightarrow \: {\underline{\red{x \: = \: 32 \degree}}}[/tex]

PLS HELP ME ON THIS QUESTION I WILL MARK YOU AS BRAINLIEST IF YOU K NOW THE ANSWER!!
The entire group of objects or individuals under consideration in a survey is the ________________.
A. population
B. establishment
C. corporation
D. entity

Answers

Answer:

A: population

Step-by-step explanation:

Um its just the definition of the word i think.

Population: a collection of persons, things, or objects under study.

Please help explanation if possible

Answers

Answer:

612 adults

361 students

Step-by-step explanation:

To solve this question, set two equations:

Let x be number of adults and y be number of students.

As there are in total 937 people, the equation would be the sum of both adults and children:

[tex]x+y=937[/tex]

[tex]x=937-y[/tex]  ...... ( 1 )

As the total sale amount is $1109, the equation would be to add up the ticket fee:

[tex]2x+0.75y=1,109[/tex]  ...... ( 2 )

Put ( 1 ) into ( 2 ):

[tex]2(937-y)+0.75y=1,109[/tex]

[tex]1874-2y+0.75y=1,109[/tex]

[tex]-1.25y=-765[/tex]

[tex]y=763/1.25[/tex]

[tex]y=612[/tex]

Put y into ( 1 ):

[tex]x=973-612[/tex]

[tex]x=361[/tex]

Therefore there are 612 adults and 361 students.

is there any responsible way to use student loans why or why not

Answers

Answer:just use your student loans that you need as a student don’t waste it on games or unnecessary things.

Step-by-step explanation:

(PLEASE ANSWER ASAP I JUST NEED TO SEE IF I GOT THE RIGHT ANSWER PLEASE EXPLAIN ALSO)

Answers

Answer:

37.15 pounds left

Step-by-step explanation:

Add the two pound values

1.3+1.75= 3.05

Subtract it from the total number of pounds in the bag

40.2-3.05

=37.15

So you would start by adding up the total amount he ate. So that would be

1.3 + 1.75 = 3.05

Then you have to subtract the amount he ate from the total amount.

40.2 - 3.05 = 37.15

So your answer would be 37.15 let me know if you don’t understand something, more than happy to help.

could someone please assist...it would really help alot...thank you:)
I just need help with 4.2 and 4.3​

Answers

Problem 4.2

We're told that y = 2x is the equation of the tangent line through point Q.

Plug this into the equation of the circle (that was given at the very top of the page). Solve for x.

x^2 + y^2 - 18x - 6y + 45 = 0

x^2 + (2x)^2 - 18x - 6(2x) + 45 = 0 ... every "y" replaced with "2x"

x^2 + 4x^2 - 18x - 12x + 45 = 0

5x^2 - 30x + 45 = 0

5(x^2 - 6x + 9) = 0

5(x-3)^2 = 0

(x-3)^2 = 0

x-3 = 0

x = 3

This then means y = 2x = 2*3 = 6

The coordinates of point Q are (x,y) = (3,6)

----------

Answer:  (3,6)

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

Problem 4.3

We first need to find the location of point S. That will involve solving this system of equations

[tex]\begin{cases}x-2y+12=0\\y = 2x\end{cases}[/tex]

which represent the equations of lines SR and QS in that exact order.

Like before, we'll apply substitution to solve for x.

x-2y+12 = 0

x-2(2x)+12 = 0

x-4x+12 = 0

-3x+12 = 0

12 = 3x

12/3 = x

4 = x

x = 4

Which leads to y = 2x = 2*4 = 8

Point S is located at (4,8)

Point R is given to be located at (6,9)

Apply the distance formula for these two points to find the length of SR (aka the distance from S to R).

[tex]S = (x_1,y_1) = (4,8)\\\\R = (x_2,y_2) = (6,9)\\\\d = \text{Length of SR, aka distance from S to R}\\\\d = \sqrt{(x_1 - x_2)^2 + (y_1 - y_2)^2}\\\\d = \sqrt{(4-6)^2 + (8-9)^2}\\\\d = \sqrt{(-2)^2 + (-1)^2}\\\\d = \sqrt{4 + 1}\\\\d = \sqrt{5}\\\\d \approx 2.236068\\\\[/tex]

The exact length is [tex]\sqrt{5}[/tex] and that approximates to roughly 2.236068 units.

----------

Answer:

Exact length = [tex]\sqrt{5}[/tex] units

Approximate length = 2.236068 units

what’s is the quotient for the rational expression shown below?

Answers

Answer:

D

Step-by-step explanation:

D is the correct answer

Is 2(5m-4)-3(m-5)^2 equivalent to -3m^2+40m-83? Show your work.

Answers

[tex]\\ \sf\longmapsto 2(5m-4)-3(m-5)^2[/tex]

[tex]\\ \sf\longmapsto 10m-8-3(m^2-10m+5^2)[/tex]

[tex]\\ \sf\longmapsto 10m-8-3(m^2-10m+25)[/tex]

[tex]\\ \sf\longmapsto 10m-8-3m^2+30m-75[/tex]

[tex]\\ \sf\longmapsto -3m^2+30m+10m-75-8[/tex]

[tex]\\ \sf\longmapsto -3m^2+40m-83[/tex]

1. thực hiện phép nhân
a) (2x-1)(x-8)
b) (x^2-3)(2x+4)
c) (2x-1)x+x^2-2(x-3)
d) x(2x-6).(-3x)+9x(x-1)
e) 2x(x^2-3x)-(x+1)(x^2-2)
f)3x(x-1)+x^2(x-2)+3(x-1)(x+1)

Answers

Answer:

Hey I'm sorry I didn't get to answer your question it's just that I need the points because I don't have enough to get help with my question. I hope you get the answer that you need for you question. Good Luck :).................

Step-by-step explanation:

Please help me find x
Need help fast!!

Answers

Answer:

x = 100°

Step-by-step explanation:

p and q are parallel lines. Construct line 'l' parallel to p and q

a = 30°   {p// l  when parallel lines are intersected by transversal alternate interior angles are congruent}

c +110 = 180  {linear pair}

c = 180  - 110

c = 70°

b= c   {q // l  when parallel lines are intersected by transversal alternate interior angles are congruent}

b = 70°

x = a + b

x = 30° + 70°

x = 100°

Help me asap im not good at math

Answers

Answer:

[tex] > [/tex]

Step-by-step explanation:

The denominators are the same so, you have to look at the numerator which is greater, - 1 is greater because it's close to 0

It would be < because the one on right is greater

2. If you move 50 meters in 10 seconds, what is your speed?

Answers

Answer:

5 meters per second

Step-by-step explanation:

Find your speed by dividing the number of meters traveled by the number of seconds it took:

50/10

= 5

Your speed is 5 meters per second.

Answer:

5 m/sec

Step-by-step explanation:

The speed would be calculated as follows, as a unit rate:

 50 m

----------- = 5 m/sec

10 sec

What is | −34 | ?
-------
l l
-------
l l
--------

Answers

Step-by-step explanation:

Here,

| −34 |

= 34

As,

| | are absolute symbols so it's denote only the neutral number such as, | - 1 | = 1

Answer:

34

Step-by-step explanation:

|-34|

The absolute value bars means taking the non-negative value

|-34| = 34

please help me I'd appreciate it so much!! (no links)
Which of the following pairs of triangles can be proven similar through SAS similarity? Question options: A) image B) image C) image D) image

Answers

Answer:

C

Step-by-step explanation:

There are two corresponding angles shown and one included angle meaning the angle is in-between the two sides, allowing this to be characterized by SAS similarity.

A lemonade recipe calls for 1/4 cups of lemon juice for every cup of water.

Plot the pairs in the table in a coordinate plane

Answers

Answer:

they are in order cross x with the y across from it

Step-by-step explanation:

Please help simple alebgra! Write an equation representing the translation of f(x) = 7x + 3 down 4 units.

Will mark brainliest!

Answers

9514 1404 393

Answer:

  g(x) = 7x -1

Step-by-step explanation:

The y-coordinate of a function tells how many units the function value lies above the x-axis. Translating that value down 4 units is the same as subtracting 4 from the function value.

  g(x) = f(x) -4

  g(x) = 7x +3 -4

  g(x) = 7x -1

Solve the square of this equation with explanation as I don’t understand please

Answers

Answer: The two solutions are x = -4 and x = -6

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

Explanation:

Cut the x coefficient (10) in half to get 10/2 = 5. Then square this to get 5^2 = 25.

We'll add 1 to both sides so that the "24" turns into "25", thereby completing the square

x^2 + 10x + 24 = 0

x^2 + 10x + 24+1 = 0+1

x^2 + 10x + 25 = 1

Notice on the left hand side we have something of the form A^2+2AB+B^2 where A = x and B = 5. We can factor this into (A+B)^2, which is the whole reason why we completed the square. You can use the FOIL rule to see how (A+B)^2 expands out into A^2+2AB+B^2. Factoring reverses this process.

This means x^2+10x+25 factors to (x+5)^2 and we now have these steps

(x+5)^2 = 1

x+5 = sqrt(1) or x+5 = -sqrt(1)

x+5 = 1 or x+5 = -1

x = 1-5 or x = -1-5

x = -4 or x = -6 are the two solutions

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

Let's check x = -4 to see if it works or not

x^2 + 10x + 24 = 0

(-4)^2 + 10(-4) + 24 = 0

16 - 40 + 24 = 0

-24 + 24 = 0

0 = 0

We get a true equation. That confirms x = -4 is a solution.

If we tried x = -6, then,

x^2 + 10x + 24 = 0

(-6)^2 + 10(-6) + 24 = 0

36 - 60 + 24 = 0

-24 + 24 = 0

0 = 0

That x value is confirmed as well.

1. Three products from renewable resources are​

Answers

Animals, wood, plants

Answer:

biomass energy (such as ethanol), hydropower, geothermal power, wind energy, and solar energy.

Find the values of p and q for which the system of the linear equation has
infinite number of solutions
2x -3y = 7
(p +q) x -(p+ q- 3) y =4p+q

unwanted ans will be reported

Answers

If it has infinite solutions

[tex]\boxed{\sf \dfrac{a_1}{a_2}=\dfrac{b_1}{b_2}=\dfrac{c_1}{c_2}}[/tex]

[tex]\\ \sf\longmapsto \dfrac{2}{p+q}=\dfrac{3}{p+q-3}[/tex]

[tex]\\ \sf\longmapsto 2(p+q-3)=3(p+q)[/tex]

[tex]\\ \sf\longmapsto 2p+2q-6=3p+3q[/tex]

[tex]\\ \sf\longmapsto 2p-3p+2q-3q=6[/tex]

[tex]\\ \sf\longmapsto -p-q=6[/tex]

[tex]\\ \sf\longmapsto p+q=-6[/tex]

[tex]\\ \sf\longmapsto p=-6-q[/tex]

Take p as 1

.q=-6-1=-7

Factor X squared minus 2X -80

Answers

Answer:

(x - 10)(x + 8)

Step-by-step explanation:

x² - 2x - 80

Consider the factors of the constant term (- 80) which sum to give the coefficient of the x- term (- 2)

The factors are - 10 and + 8 , since

- 10 × 8 = - 80 and - 10 + 8 = - 2 , then

x² - 2x - 80 = (x - 10)(x + 8)

Tyrone measured the floor of his rectangular storage unit. It is 3 feet wide and 8 feet from one corner to the opposite corner. How long is the storage unit? If necessary, round to the nearest tenth.

Answers

Answer:

Rounded to the nearest tenth, 7.4 feet long.

Step-by-step explanation:

Tyrone has a rectangular storage unit. We are given the width and the diagonal length.

So we can use Pythagorean Theorem.

3^2 + b^2 = 8^2

9 + b^2 = 64

subtract 9 from both sides

b^2 = 55

b = sqrt55

b is around 7.4161984871, so b rounded to the nearest tenth is 7.4 feet long.

Find the sum of one thousand and forty-two, sixty-nine and five hundred and thirty-six.

with full explanation

Answers

Answer:

1042

69+5=74

100+36=16

Step-by-step explanation:

> one thousand = 1000 (thousandth place)

0 = hundred place

and fourty-two = 42 (tenths)

1042

> 69+5=74

sixty-nine = 69 (tenth place)

5 = (unit)

64

> 100+36=536

one hundred = 100(hundredth place)

36 ( tenths)

146

10. The slope of the line passing through (3, 3)
and (-3, 3) is:

Answers

Answer:

0

Step-by-step explanation:

We can use the slope formula to find the slope

m = ( y2-y1)/(x2-x1)

    = (3-3)/(-3-3)

    = 0/-6

    =0

Answer:

m = 0

Step-by-step explanation:

Use the slope formula: [tex]m=\frac{y_2-y_1}{x_2-x_1}\\[/tex]

[tex]\frac{3-3}{3-(-3)}\\\\ \frac{0}{6}\\\\0[/tex]

Therefore, the slope of the line is 0.

*Note that if the y values do not change as x changes, it is evidence that the slope is 0.*

on this necklace the ratio of black beads to white beads is 1:4 How many more black beads do you need to add to make the ratio of black to white 4:1 ?

WILL GIVE BRAINLIEST!!!

Answers

Answer = 15 black beads

1:4 = 1 black bead and 4 white beads
4:1 = 16:4
16 - 1 = 15 black beads

Find the area of the rectangle with the length 2x-4 and height of -3

Answers

Answer:

-3(2x-4) or -6x+12

Step-by-step explanation:

Area is H*W

theres no value for x so that would be it, unless there is then all you do is plug that into the answer I put.

M.P=Rs 480, S.P= Rs 456​

Answers

Answer:

bro what to find in this question. Hope you understand me

Step-by-step explanation:

Please mark me brainliest thanks

can you please tell me the answer I don't know ​

Answers

Answer:

1)

=6-15+7

=6-22

=-16 answer

2)

=7×40/5

=Then,7×8

=56 answer

Jackson has 5 boxes of 3 golf balls. Elsa
gives Jackson 2 more boxes of 3 golf
balls. How many golf balls does Jackson
have now?

Answers

15

five three times is equal to fifteen

What is the range of the function on the graph, I hope you can see it

Answers

Answer:

Option 4. All real numbers greater than or equal to 2.

I hope this will help.

Other Questions
Which of the following expressions shows how to rewrite 8 9 using the additive inverse and displays the expression correctly on a number line? A number line from negative 10 to positive 10 is shown, with numbers labeled at intervals of 1. An arrow is shown from point 0 to 8. Another arrow points from 8 to negative 1. A number line from negative 10 to positive 10 is shown, with numbers labeled at intervals of 1. An arrow is shown from point 0 to 8. Another arrow points from 8 to 9. A number line from negative 10 to positive 10 is shown, with numbers labeled at intervals of 1. An arrow is shown from point 0 to 8. Another arrow points from 8 to negative 9. A number line from negative 10 to positive 10 is shown, with numbers labeled at intervals of 1. An arrow is shown from point 0 to 8. Another arrow points from 8 to 1. Use any main verb of your choice to write out the different tenses in English language Given right triangle ABC with altitude BD drawn to hypotenuse AC. If AC = 16and BC = 8, what is the length of DC? (Note: the figure is not drawn to scale.) Who can contact me to help me with the American literature 1800 exam on Monday? gayle started with 30 pairs of shoes and donated X pairs. Her sister Bonnie started with 22 pairs of shoes and donated half as many pairs as Gayle did. How many pairs of shoes did Gayle donate if they had the same number of shoes remaining If a muffin costs 7, how much will 3 muffins cost? Someone help please I dont know the answer to the question I meeed help Plz help me ASAP TwT Which of the following is a scientific question? what is photograph ?what are the advantage and disadvantage of it. Which phrase best defines characterization ?A. The way an author describes the conflict B. The way in which a character changes over time, especially when conflicts rise C. The way a new character are first introduced in a work of literature D. The way an author describes or conveys a characters traits Why do different castes have different social rituals and custom What was one of the most severe environmental crises in North America in the 20th century that impacted the Great Plains? what is the torque of a force of 12 N with a lever arm of 3.2 meters? Whats was the purpose of Miller and Ureys experiment Mrs. Funke has #40. At the market,she buys a dozen fillets of fish at 99k per dozen ,3stacks of vegetables at #1.25 each, 27 oranges at 7k each and 4.6kg of meat at #3.20 per kilogram Tim won't eat any food _____________himself. The Egyptians constructed walls and embankments _____ marvels even todayA. they are consideredB. which are consideredC. are consideredD. who are considered Math models helpppp plss if you know about math models answer this pls Q4.B/ Evaluate the integral