The part of a cylindrical soup can that is covered by the label is 8.5 cm tall and has a diameter of 6.5 cm. What is the area of a label that covers the entire side of the can and that need a 0.8-cm overlap to glue the ends of the label? Round to the nearest tenth.

Answers

Answer 1

Answer:

[tex]180.4~cm^2[/tex]

Step-by-step explanation:

Surface Area

The surface area of a cylinder of height h and radius r is given by:

[tex]A=2\pi rh[/tex]

It only covers the lateral side of the cylinder. If both the top and the bottom sides are to be included, then:

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

The label will cover only the lateral side of the soup can that has a height of h=8.5 cm and a diameter of 6.5 cm. We need to calculate the radius which is half of the diameter r=6.5 cm / 2 = 3.25 cm.

Now we calculate the side area of the can:

[tex]A=2\pi (3.25)(8.5)[/tex]

[tex]A=173.6~cm^2[/tex]

We need to add the 0.8 cm overlap to the total area already calculated. This overlap has 0.8 cm of width and 8.5 cm of height, so this overlap area is:

[tex]A_o= 0.8*8.5=6.8~cm^2[/tex]

The total area of the label is:

[tex]A=173.6~cm^2+6.8~cm^2=180.4~cm^2[/tex]

The area of the label is [tex]\mathbf{180.4~cm^2}[/tex]


Related Questions

PLEASE HELP!!!!!!!!!!!!
(also if you dont know please dont answer so the people who know see this)

Answers

Answer:

1. A, B, F, G, L

2. A, B, C, F, G, L, M

3. D, K

Step-by-step explanation:

1. THEY ALL HAVE 4 RIGHT ANGLES

Help pleaseee!
Thank you!

Answers

Answer:

The fourth graph

Step-by-step explanation:

PLEASE GIVE BRAINLIEST

The correct graph is the last on on the bottom or D.
The equation has a slope of 2 and a y intercept of 3, therefore the last graph is correct.

Brainliest be good peeps Calculate the missing term in each and for 2 its not 6/7 it cant be okay? thanks tho if you try and get that.
proportion.
2/11= /55
36/42= /
9/ = 21/28
6/9= /15

Answers

Answer:

The missing term is 10

Step-by-step explanation:

2/11=x/55

cross multiply

2*55=11x

x=10

I hope this helps :)

Cameron spent 32 minutes on Instagram on Friday. The next day
he spent 30% of that on Instagram. In total, how much time did
Cameron spend on Instagram?

Answers

Answer:

41.6

Step-by-step explanation:

32 x 0.3 = 9.6

9.6 + 32 = 41.6

41.6

i had the same question

I need help on this angle measurement paper​

Answers

Wait......What.....Isssssss.....that!?!??

a rectangular poster is made up of an image surrounded by a border l, as shown below. the area of the image is 1347cm².what is the area of the border?​

Answers

Answer:

i feel as though you have to multiply base times height

Step-by-step explanation:

you would have to multiply it

For this module's assignment review the following. 1. A student randomly guesses the answers to a four-question true-or-false quiz. The observation is the student's answer for each question. Write out the sample space. (Use T = true and F = false) 2. At Aunt Edna's Diner, a customer can choose from 5 appetizers, 7 entrees, 4 side dishes, and 6 desserts. How many different meals can be made by selecting one item from each course? 3. Compute gC3. 4. Compute 9P3- ​

Answers

9514 1404 393

Answer:

tttt, tttf, ttft, ttff, tftt, tftf, tfft, tfff  fttt, fttf, ftft, ftff, fftt, fftf, ffft, ffff84084504

Step-by-step explanation:

1. The sample space is all 16 possible sequences of T or F of length 4:

  tttt, tttf, ttft, ttff, tftt, tftf, tfft, tfff  fttt, fttf, ftft, ftff, fftt, fftf, ffft, ffff

__

2. The number of possibilities is the product of the numbers of choices at each stage:

  5 × 7 × 4 × 6 = 840 . . . different meals

__

3. 9C3 = 9!/(3!·6!) = 84

__

4. 9P3 = 9!/6! = 504

Write the equation of the line that passes through the point (-2, 7) and is PARALLEL to the line y = -4x + 1.​

Answers

Answer:

The equation is [tex]y=x-9[/tex]

Step-by-step explanation:

If we want a line parallel to the line in the problem it will have the same slope. The equation given in the problem is already in slope intercept form so we can take the slope for the new equation directly from this equation.

The slope-intercept form of a linear equation is:  [tex]y=mx+b[/tex]

Where  m  is the slope and  b  is the y-intercept value.  

[tex]y=1x-2[/tex]

Therefore the slope is  

[tex]m=1[/tex]

We can now use the point-slope formula to write the equation of the parallel line:

The point-slope formula states:  

[tex](y-y1)=m(x-x1)[/tex]

Where  m  is the slope and  [tex](x1,y1)[/tex] is a point the line passes through.  

Substituting the information from the problem gives:

[tex](y- (-7)=1(x-2)[/tex]

[tex](y+7)=1(x-2)[/tex]

Or, we can solve for  y  to put the equation in slope-intercept form:

[tex]y+7=x-2[/tex]

[tex]y+7-7=x-2-7[/tex]

[tex]y+0=x-9[/tex]

[tex]y=x-9[/tex]

Write the equation of the exponential function given two points: (1,6) (3,96)

Answers

Answer:

y = 3/2 ⋅  4^x

Step-by-step explanation:

I hope this helped! please mark as brainliest

The following display from a TI-84 Plus calculator presents a 99% confidence interval for a proportion.Fill in the blanks: We are ________ confident that the population mean is between _______ and _______.a) 1%, 0, 0.583120b) 99%, 0, 0.583120c) 99%, 0.385631, 0.780609d) 1%, 0.385631, 0.780609

Answers

Answer:

The following display from a TI-84 Plus calculator presents a 99% confidence interval for a proportion.Fill in the blanks:

We are ____99%____ confident that the population mean is between ___0.385631____ and ___0.780609____.

c) 99%, 0.385631, 0.780609

Step-by-step explanation:

This is the only correct option, given the relevant population mean range.  Option B is not correct as the population mean cannot range between 0 and 0.583120 as given by the option.  Options 'a' and 'd' are not relevant to the question because they have 1% confidence level, instead of the stated 99% confidence level.

Find the distance of a line given the following points. R(3, 1), W(-1, -2)

Answers

Answer:

[tex]\sqrt{13}[/tex]

Step-by-step explanation:

we can solve this using the distance formula: [tex]\sqrt{(x_{2}-x_1)^{2} + (y_{2}-y_1)^{2}}[/tex]

[tex]x_1, y_1[/tex] is (3, 1)

[tex]x_2, y_2[/tex] is (-1, -2)

[tex]\sqrt{(1-3)^2 + (-2-1)^2}[/tex]

which simplifies to: [tex]\sqrt{(-2)^2 + (-3)^2}[/tex]

then: [tex]\sqrt{2^2 + 3^2}[/tex] or: [tex]\sqrt{4+9}[/tex]

your final answer is: [tex]\sqrt{13}[/tex] or about 3.61

Jack wants to attend a private 4-year university that costs $32,500 a year for tuition. His parents said they will give him $15,000 each year towards tuition. If he saves his money over the next four years before college, how much money will he have to save each year?
A $1,750
B $17,500
C $175
D $4375

Answers

Answer:

b

Step-by-step explanation:

There are 60 new houses being built in a neighborhood. Last month, 1/4 of them were sold. This month, 1/5 of the remaining houses were sold. How many houses are left to be sold.

Answers

Answer:

36

Step-by-step explanation:

Number of new houses  = 60

Number of houses sold last month = (1/4) of 60

                                                          [tex]= \frac{1}{4}*60[/tex]

                                                          = 15

Remaining houses  = 60 - 15 = 45

Number of houses sold this month = (1/5) of 45

                                                          [tex]=\frac{1}{5}*45\\\\= 9[/tex]

Number of houses that are left = 45 - 9 = 36

What’s the numerator for the following rational expression please I need help quick taking test currently

Answers

Answer:

Well, the most reasonable explanation would be j+8 or 8+j

Please please help me please it due today at 6:50pm please help will mark the brainiest please please help

Answers

6. nebula
7. A white dwarf

Answer:

6. nebula

7. once the sun reaches the end of its life cycle it will become a white dwarf star

8. i cant see the rest fo the question

Step-by-step explanation:

hope this helps

On average, Seattle gets 38 inches of rain each year. How many centimeters of rain do they get each year?


I'll give brainiest!

Answers

Answer:

88.9

Step-by-step explanation:

12 students is what percent of 60 students?

Answers

Answer:

20%

Step-by-step explanation:

Answer:

20%

Step-by-step explanation:

I believe it is 20% based on what I know.

A college student takes the same number of credits each semester. She had 9 credits when she started, and after 6 semesters, she had 117 credits.

Answers

Answer:

18 credits per semester

Step-by-step explanation:

Based on the information given the rate at which she is earning credits  is 18 credits per semester.

Using this formula

Credits earning rate=Ending credit-Beginning credits /Number of semesters

Where:

Ending credits=117 credits

Beginning credits=9 credits

Number of semesters=6

Let plug in the formula

Credits earning rate=117-9/6

Credits earning rate=108/6

Credits earning rate=18 credits

Inconclusion the rate at which she is earning credits  is 18 credits per semester.

Learn more here:https://brainly.com/question/25458096

Solve for indicated variable

Answers

Answer:dusy

Step-by-step explanation:

Answer:

h = SA/(2πr) - r

Step-by-step explanation:

From what I understood of the the statement, we have to solve the equation for the variable h. So, we just have to isolate that variable in one side. See:

[tex]SA = 2\pi r^2 + 2\pi rh\\\\2\pi rh = SA - 2\pi r^2\\\\h = \dfrac{ SA - 2\pi r^2}{2\pi r}\\\\\boxed{h = \dfrac{SA}{2\pi r} - r}[/tex]

2 + 3 + 10029 + 12 + 34 x (14512 - 14511) = ?

Answers

Answer:

The answer is 10080

Step-by-step explanation:

Answer:

Step-by-step explanation:

2 + 3 + 10029 + 12 + 34 x (14512 - 14511) = 2+3+10029+12+34x1

=5+10029+12+34

=10080 answer

For all x in the domain of the function (x+1)/(x^3-x) this func-
tion is equivalent to

Answers

Answer:

The function is equivalent to

[tex]\frac{x+1}{x^3-x}=\frac{1}{x\left(x-1\right)}[/tex]

Step-by-step explanation:

Given the function

[tex]f\left(x\right)=\frac{x+1}{x^3-x}[/tex]

Let us simplify this function

[tex]f\left(x\right)=\frac{x+1}{x^3-x}[/tex]

        [tex]=\frac{x+1}{x\left(x+1\right)\left(x-1\right)}[/tex]     ∵ [tex]Factor\:x^3-x=x\left(x+1\right)\left(x-1\right)[/tex]

Cancel the common factor (x+1)

        [tex]=\frac{1}{x\left(x-1\right)}[/tex]

Therefore, the function is equivalent to

[tex]\frac{x+1}{x^3-x}=\frac{1}{x\left(x-1\right)}[/tex]

         

Answer:

wrong

Step-by-step explanation:

The 7th-grade class took a survey on their favorite ice cream. 58 people said they prefer vanilla, while 28 people said they prefer chocolate. Write a ratio comparing chocolate to vanilla. (Write it in a :b form)

Answers

Answer:

[tex]a : b = 14 : 29[/tex]

Step-by-step explanation:

Given:

[tex]Vanilla = 58[/tex]

[tex]Chocolate = 28[/tex]

Required

Represent as ratio

Let chocolate be represented with a and vanilla be represented with b

So, we have:

[tex]a : b[/tex]

[tex]a : b = 28 : 58[/tex]

Divide ratio by 2

[tex]a : b = 14 : 29[/tex]

Hence, the required ratio is [tex]14:29[/tex]

If 4 gal of the premium unleaded gasoline costs $16.24, how much would it cost to completely fill a tank whose capacity is 7 gal?

Answers

Answer:

$4.06 per gallon $4.06 x 7 = $28.42

Step-by-step explanation:

Find the equation of the line.
The perpendicular bisector to the line segment with endpoints (-8,5) and (4,1).
The equation of the line is
y =

Answers

Answer:

y = 3x + 9

Step-by-step explanation:

The perpendicular bisector to the line segment is passing through the midpoint of the line segment. Coordinates of midpoint are ( [tex]\frac{x_{1} +x_{2} }{2}[/tex] , [tex]\frac{y_{1} +y_{2} }{2}[/tex] )

Formula of slope is m = [tex]\frac{y_{2} -y_{1} }{x_{2} -x_{1} }[/tex]

Slopes of perpendicular lines are opposite reciprocals. So, if AB ⊥ CD , then [tex]m_{AB}[/tex] × [tex]m_{CD}[/tex] = - 1

y - [tex]y_{1}[/tex] = m ( x - [tex]x_{1}[/tex] )  

~~~~~~~~~~~

(- 8, 5)

(4, 1)

m = ( 5 - 1) / ( - 8 - 4) = - [tex]\frac{1}{3}[/tex]

Opposite reciprocal to ( - [tex]\frac{1}{3}[/tex] ) is 3

Coordinates of midpoint are ( - 2 , 3 )

y - 3 = 3 ( x + 2 )

y = 3x + 9  

Anthony has t tickets. Charlie has 2 less than triple the number of tickets that Anthony has. In terms of t, how many tickets does Charlie have?​

Answers

Answer:

3t-2

Step-by-step explanation:

if anthony has t tickets multiply that by 3 with 3t and subtract 2

Zoe‘s graduation picnic cost $94 for the decorations plus an additional $10 for each attendee at Moose how many attendees can there be if Zoe budgets a total of $474 for her graduation picnic

Answers

Answer:

38 attendees.

Step-by-step explanation:

Subtract the cost of the decorations from the total (474 - 94). You are then left with $380 for all the attendees combined. Divide the total cost of attendees by the cost per attendee (380/ 10). You are left with 38 attendees. You can also check this backwards by multiplying 38 attendees by $10 (380), then adding the cost of decorations (94), and end up with the total cost of $474. I hope this helped!

For homework, a student had to complete 54 problems total. If she finished 9 problems in
class, what is the ratio of problems she still needs to complete to problems that she's
already finished?

Answers

Answer:

10

Step-by-step explanation:

Answer:

45:9

Step-by-step explanation:

What's a rule you could apply to any number that would predict which denominators will terminate

Answers

I believe it’s
Think/ pair/ share

9514 1404 393

Explanation:

The decimal equivalent of a fraction will terminate if its denominator can be factored using only the prime numbers 2 and/or 5.

1/4 = 1/(2·2) will terminate

1/15 = 1/(3·5) will not terminate

8. A substance has a half life of 2.347 minutes.
a. If the initial amount of the substance was 110.4 grams, how many half-lives will have passed
before the substance decays to 6.9 grams.
b. What is the total time of the decay?

Answers

Answer:

a.) 4 half lives have passed

b) 9.388 minutes

Step-by-step explanation:

Formula for exponential growth / decay is given as:

[tex]A=A_0b^{\frac{t}{c}}[/tex]

Where [tex]A[/tex] is the final population

[tex]A_0[/tex] is the initial population

[tex]b[/tex] is the growth factor

[tex]c[/tex] is the time taken for the growth 'b'

[tex]t[/tex] is the amount of time

Here, we are given that:

[tex]A[/tex] = 6. 9 grams

[tex]A_0[/tex] = 110.4 grams

[tex]b = \dfrac{1}{2}[/tex]

[tex]c = 2.347[/tex] min

To find:

a.) Number of half lives taken for the decay.

b.) Total time in the decay.

Solution:

a.) Number of half lives taken for the decay is nothing but equal to [tex]\frac{t}{c}[/tex].

Putting the values in the formula, we get:

[tex]6.9=110.4\times \frac{1}2^{\frac{t}{c}}\\\Rightarrow 6.9=110.4\times 0.5^{\frac{t}{c}}\\\Rightarrow 0.0625=0.5^{\frac{t}{c}}\\\Rightarrow \dfrac{t}{c} =4[/tex]

Therefore, the answer is:

4 half lives have passed.

b.) Total time of decay. We have to find the value of [tex]t[/tex] here.

From answer of part a.):

[tex]\dfrac{t}{c} =4\\\Rightarrow \dfrac{t}{2.347} =4\\\Rightarrow t =\bold{9.388\ min}[/tex]

Please help I’m stuck on this question

Answers

the answer is b. the rest is so it can be enough charecters so i can post this answer

Other Questions
Charlemagne forced all of the people he conquered to __________._______________________________________________________A) join the militaryB) work as slavesC) serve as missionariesD) convert to Christianity_______________________________________________________Please select the best answer from the choices providedA)B)C)D)_______________________________________________________ DNA and RNA are both types of A. enzymesB. polysaccharidesC. proteinsD. nucleic acids what was the type of government did spain want in 1939 For the ancient Aztecs. wearing feathers indicated that a person had a high social standing. What do people wear today to try to show they have a high social standing? PLZ HELP I BEG U!!!!!! ILL MARK U BRAINLIEST Create a story using the inequality symbols , ,, . the story must be creative, detailed, coherent, and written clearly. it does not have to be solely math related. A student conducted a comparative investigation to test the hypothesis that different areas of New York City have different levels of air pollution. Which is a likely benefit of this comparative investigation? A It provides her with a large amount of information about air pollution in New York City. B It provides her with results that are valid for a long time.C It requires that she observe a limited number of variables. D It allows her to learn about the causes and effects of air pollution in major cities. PLS HELP... WILL MARK BRAINLIEST!!!!Which of the following did not lower the morale of both Mexican and Texan troops at San Antonio?a. cold weatherb. lack of volunteers and troops willing to fightc. lack of suppliesd. small skirmishes between the two sides Four solutes are added to a solvent. All solutes have the same mass and solubility. The surface areas of four solutes are 2 mm2, 4 mm2, 6 mm2, and 10 mm2. Which solute will dissolve the quickest? 2 mm2 4 mm2 6 mm2 10 mm2 Graves Disease is an autoimmune disorder that causes an overproduction of the hormone produced in the thyroid. These hormones are responsible for cellular metabolism. What would this disorder probably result in? change this into your own words. someone pls help plsss If f(x) = 4x - 8, what is the value of f(-3)? 2/3 ( 12 n + 6 ) 1 5 ( 10 n 2 ) If 30cm of 0.45 mol dm3 HCl reacted with NaOH, how many moles of HCl reacted? determine the angle of x :p Fill in the blank with the correct conjugation of the verb in parentheses.Yo _____ (aprender) espaol.-aprendes-aprendo-aprende-aprendemos Please help me I dont understand stand it Which type of seed do you think the ground finches preferred? Why do you think this? Getting ready for his semester studying abroad in Singapore, Brayden buys a pack of gum to help pop his ears on the flight. When he lands in Singapore and goes through customs, he is advised that he must throw away the gum or be at risk of committing a crime. Why would Brayden want to throw away the gum, even though he just purchased it? Gum is illegal in all countries and he should not have purchased it. Brayden does not want to go against the norms in Singapore. While gum is not illegal in many places, it is against the law in Singapore. Brayden should not have to dispose of the gum because it is his right to have it. You and your friends go to the beach for vacation. You all walk down to the beach to go swimming. When you get there, you see the water is murky and green, and there are algae blooms floating on top. If it is excess nutrients which are feeding the algae blooms and lowering the oxygen content in the water, that process is called:_______.a. nutrient cycling.b. nitrification.c. eutrophication.d. hypoxia. Create a proportion using the form = to represent the following word problem.78% of what number is 42?