Find the surface area of the cylinder.

Find The Surface Area Of The Cylinder.

Answers

Answer 1

Answer:

[tex]A=227.84\ inch^2[/tex]

Step-by-step explanation:

Given that,

The diameter of the cylinder, d = 5 inch

Hight, h = 12 m

Radius, r = d/2 = 2.5 m

We need to find the surface area of the cylinder. The formula for the surface area of the cylinder is given by :

[tex]A=2\pi rh+2\pi r^2\\\\A=2\times \dfrac{22}{7} \times 2.5\times 12+2\pi \times 2.5^2\\\\A=227.84\ inch^2[/tex]

So, the lateral surface area of the cylinder is equal to [tex]227.84\ inch^2[/tex].


Related Questions

Can somebody please help me with this ?

Answers

Answer:

8x, 2x^2, 6xy, 5y.

Step-by-step explanation:

Hello, 5x+3x would be 8x since 5+3 is 8. 7x^2-5x^2 would be 2x^2 since 7-5 is 2 (exponents stay the same). 2xy+4xy is 6xy since 2+4 is 6. Lastly, 8y-3y is 5y since 8-3 is 5.

Pay the bill using the fewest possible bills/coins

Answers

Answers:

Open the pdf below and youll find what you need. also do the largest bills you can.

multiply the binomials (2x+1)(3x+2)

Answers

The Answer is (6x^2+7x+2)

Use the FOIL method

Express 1/3 as a repeating decimal and round to the nearest hundredth.

Answers

Answer:

1/3 is .333... so you can write .33.... or .33 with a line on top of the 3's

Step-by-step explanation:

.3 is in the tenths and .33 is in the hundredths place

In a study of academic procrastination, the authors of a paper reported that for a sample of 451 undergraduate students at a midsize public university preparing for a final exam in an introductory psychology course, the mean time spent studying for the exam was 7.74 hours and the standard deviation of study times was 3.10 hours. For purposes of this exercise, assume that it is reasonable to regard this sample as representative of students taking introductory psychology at this university.
(a) Construct a 95% confidence interval to estimate μ, the mean time spent studying for the final exam for students taking introductory psychology at this university. (Round your answers to three decimal places.) TWO VALUES
(b) The paper also gave the following sample statistics for the percentage of study time that occurred in the 24 hours prior to the exam.
n = 451 x = 43.78 s = 21.96
Construct a 90% confidence interval for the mean percentage of study time that occurs in the 24 hours prior to the exam. (Round your answers to three decimal places.)

Answers

Answer:

a) The 95% confidence interval to estimate μ is (7.435, 8.045) hours.

b) The 90% confidence interval for the mean percentage of study time that occurs in the 24 hours prior to the exam is (41.079%, 45.481%).

Step-by-step explanation:

Question a:

We have that to find our [tex]\alpha[/tex] level, that is the subtraction of 1 by the confidence interval divided by 2. So:

[tex]\alpha = \frac{1 - 0.95}{2} = 0.025[/tex]

Now, we have to find z in the Ztable as such z has a pvalue of [tex]1 - \alpha[/tex].

That is z with a pvalue of [tex]1 - 0.025 = 0.975[/tex], so Z = 1.96.

Now, find the margin of error M as such

[tex]M = z\frac{\sigma}{\sqrt{n}}[/tex]

In which [tex]\sigma[/tex] is the standard deviation of the population and n is the size of the sample.

[tex]M = 1.96\frac{3.3}{\sqrt{451}} = 0.305[/tex]

The lower end of the interval is the sample mean subtracted by M. So it is 7.74 - 0.305 = 7.435 hours

The upper end of the interval is the sample mean added to M. So it is 7.74 + 0.305 = 8.045 hours.

The 95% confidence interval to estimate μ is (7.435, 8.045) hours.

Question b:

90% confidence interval means that [tex]Z = 1.645[/tex]

The margin of error is:

[tex]M = 1.645\frac{21.96}{\sqrt{451}} = 1.701[/tex]

43.78 - 1.701 = 41.079%

43.78 + 1.701 = 45.481%

The 90% confidence interval for the mean percentage of study time that occurs in the 24 hours prior to the exam is (41.079%, 45.481%).

What is the quotient of (x^3 + 8) divided by (x + 2)?

Answers

Answer:

(x^3 +8)/(x+2) = x^2 -2x +4

Step-by-step explanation:

An equation is shown: a×b=c. Let c be an irrational number. What can be said about a and b?

Please help

Answers

if c is a irrational number that means a or b is also an irrational number or both of them are irrational numbers but they are different then each other

i hope that will help

There are two possible answers:

'a' is irrational and b is rational, OR'a' is rational and b is irrational

You can only pick one of those two cases. In short, exactly one of the 'a' or b is irrational and the other is rational. Both 'a' and b cannot be rational together, and they both cannot be irrational together.

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

Explanation:

For a moment, let's say that 'a' and b are both rational numbers. This means they would be ratios of integers. So,

a = p/q

b = r/s

where p,q,r,s are integers. The denominators q & s cannot be zero.

Multiplying those rational numbers 'a' and b leads to

a*b = (p/q)*(r/s) = (p*r)/(q*s)

We get a result in the form of integer/integer. Recall that multiplying any two integers leads to some other integer. Since (p*r)/(q*s) is a ratio of integers, it is rational and that makes a*b = c to be rational. However, your teacher said that c is irrational which is the opposite of rational.

In short, if both 'a' and b are rational, then a*b = c is rational. This means we know for certain that both 'a' and b cannot be both rational for c to be irrational.

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

Next, we'll consider 'a' and b to both be irrational. Is it possible to have a*b = c to be irrational as well? It depends.

If we have the following

a = sqrt(3)

b = sqrt(12)

then,

a*b = sqrt(3)*sqrt(12) = sqrt(3*12) = sqrt(36) = 6

Showing that a*b is rational because 6 = 6/1 is a ratio of integers. This is a bit strange considering how 'a' and b themselves were irrational, but they led to a rational product.

This doesn't always happen since something like

sqrt(3)*sqrt(5) = sqrt(3*5) = sqrt(15)

is irrational. So if both 'a' and b are irrational together, then a*b could be rational or it could be irrational. We would need more information about the values of 'a' and b.

Therefore, we know that we can rule out the case that 'a' and b are irrational together.

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

Lastly, we'll consider the case when one of 'a' or b is rational while the other is irrational. The order doesn't matter. So we'll make 'a' to be irrational and b to be rational.

Since b is rational, this means b = p/q for some integers p,q where q is nonzero. The value of 'a' cannot be written as a ratio like this because it is irrational.

Multiplying any nonzero rational number with an irrational one always leads to an irrational result. If a*b was rational, then we could say

a*b = r/s

a*(p/q) = r/s

a = (r/s)*(q/p)

a = (r*q)/(s*p)

Showing that 'a' is rational, but this contradicts the fact we made 'a' to be irrational at the top of this section. Therefore, a*b is always irrational if exactly one of 'a' or b is irrational and the other is rational.

In other words, if,

'a' is rational and b is irrational, or'a' is irrational and b is rational

then a*b = c is irrational

Winston earns $140.00 by selling 56 hot dogs at a concession stand at school. Using the
same rate for the cost of one hot dog, how many more hot dogs would Winston need
to sell to earn a total of $175.00?
Show your work.

Answers

Answer:

He would need to sell 14 more hotdogs

Step-by-step explanation:

140/56= 175/x

140x= 9,800

x= 70

56-70= 14

If x3=125 and y3=8, what is the value of y−x

Answers

Answer:

X= 5

Y= 2

Y-X= 2-5= -3

The Athens-Clarke Country Wildlife Resource Center wanted to encourage wildlife preservation efforts among students in its summer camp. In the past, it would run a particular curriculum, then gauge students' interest in wildlife preservation in a test at the end of the camp. Historically, the average on this final test to gauge preservation interest was 35.3 (out of 100).

Last summer, the resource Center created a new curriculum focusing on campers interacting directly with wildlife to promote preservation efforts. This included efforts in species dentrication handling of wild animals, and directoration of animals in habitat The Resource Center considers the collection of 40 to be a random samping from the population of campers they will encounter They need your help to determine whether this new curriculum Improves impressions about witte preservation. For their 40 scores at the end of lut summer, they found a sample mean of 26.58 and a standard deviation of 3.18.

Required:
What are the null and alternative trypotheses?

Answers

Answer:

H0 : u ≤ 0.353  

Ha: u > 0.353

Step-by-step explanation:

The null and alternate hypotheses are formulated by the given claim. The claim is mostly set as the alternate hypothesis and the opposite of the alternate hypothesis is the null hypothesis.

In this question the given statement is the average on this final test to gauge preservation interest was 35.3 (out of 100). This can be used as the null hypothesis.

H0 : u ≤ 0.353  

The claim is also given which is To test whether the  new curriculum Improves impressions about witte preservation.

against the claim Ha: u > 0.353

Therefore it will be a one tailed test.

Use the matrix tool to solve the system of equations. Choose the correct
ordered pair.
4x - 7y = -5
-6x+ 5y = 2
PLEASE HELP

Answers

4x-9y=2 this is the answer

16, 48,144,...
Find the 6th term.

Answers

Answer:
3,888
Step by step explanation:
Just multiply by 3 to get the next number
or
Nth term= 16 x (3^N-1)

PLEASE HELP ASAP ???

Answers

Answer:

-1

Step-by-step explanation:

Find cot theta if 180° < theta < 270° and cos theta = - sqrt 3/2

Answers

Answer:

cot theta = -√3

Step-by-step explanation:

we are given that  cos theta = - √3/2 within the range 180° < theta < 270° and

since cos theta = adj/hyp

adj = - √3

hyp = 2

Get the opposite using the pythagoras theorem

hyp^2 = opp^2 + adj^2

2² = opp² + (-√3)²

4 = opp² + 3

opp² = 4-3

opp² = 1

opp = 1

tan theta = opp/adj

tan theta = - 1/√3

Recall that cot theta = 1/tan theta

cot theta = 1/(-1/√3)

cot theta = -√3

Write the log equation as an exponential equation. You do not need to solve for x. log(5x+2)=3

Answers

Answer:

So happy you are with brainly

Step-by-step explanation:

34

y is inversely proportional to the square of p, can be written as: y = O True O False​

Answers

Answer:

False

Step-by-step explanation:

It should be ∝ .. if that’s what your asking

The diagram shows the diameter of the opening
of a waffle ice cream cone.
18 cm
Which of the following is closest to the area of
the opening in square centimeters?
A.
1,017.88 cm2
C. 254.47 cm
B.
56.55 cm2
D. 28.27 cm2
I will give brainleist

Answers

Answers

D 36

Step-by-step explanation:

77 is the area for the squared trapezoid and 36 is the closest to 77

can you please help me out if you know this answer

Answers

Step-by-step explanation:

A strike in bowling meant all 10 pins knocked down.

In this case, there is only 1 strike

You purchase a new car for $24,000. If you obtain a 5 year bank loan at 2.75% compounded monthly, what is your monthly loan payment?

Answers

Answer:

The monthly loan payment is of $458.88.

Step-by-step explanation:

Compound interest:

The compound interest formula is given by:

[tex]A(t) = P(1 + \frac{r}{n})^{nt}[/tex]

Where A(t) is the amount of money after t years, P is the principal(the initial sum of money), r is the interest rate(as a decimal value), n is the number of times that interest is compounded per year and t is the time in years for which the money is invested or borrowed.

Amount owed after 5 years:

Loan of 24000 means that [tex]P = 24000[/tex]

5 years means that [tex]t = 5[/tex]

Interest rate of 2.75% means that [tex]r = 0.0275[/tex]

Compounded monthly means that [tex]n = 12[/tex]

The amount is A(5). So

[tex]A(t) = P(1 + \frac{r}{n})^{nt}[/tex]

[tex]A(5) = 24000(1 + \frac{0.0275}{12})^{12*5}[/tex]

[tex]A(5) = 27533[/tex]

What is your monthly loan payment?

$27,533 in 5 years = 5*12 = 60 months. So

27533/60 = 458.88

The monthly loan payment is of $458.88.

What is the area of this trapezoid?

Answers

Answer: 6625 sqaure yards

Step-by-step explanation:

Area for a trapezoid formula is A=(base 1 + base 2)·height÷2

So base one is 120 and base two is 10+120+15=145

and the height is 50 so (120+145)·50÷2=6625 The area for the trapezoid is 6625

In a swimming competition, Peter swam 600m and Gabriel swam 2km .What is the ratio of Peter’s distance to Gabriel’s? Give your answer in its simplest form.

b. Express the ratio 20cm to 15m in the form 1: n

c. Express the ratio 60 cm to 20 m in the form 1 : n

Answers

Answer:

Yes, because Gabriel is the swimming. He was in 2nd or maybe 10th.

Answer:

Step-by-step explanation:


A 30-foot ladder was put up against a building. The ladder makes a 64° angle with the ground. How high up
on the wall does the top of the ladder reach?

Answers

Answer:

height = 26.96 feet

Step-by-step explanation:

sin 64° = height/30

0.8988 = height/30

height = 26.96 feet

Which expression has a value of 39?

A 24 X 2 - 8 + 42 divided by 8 - 6

B 24 X 2 - 8 + 42 divided by (8 - 6)

C 24 X (2 + 8) + 42 divided by 8 - 6

D 24 X 2 - (8 + 42) divided by 8 - 6

Answers

Answer:

A

Step-by-step explanation:

48 - 8 +5.25-6 = 39.25

b 48 -8 + 21 = 61

c 240+5.25-6= 239.25

d 48 -50/8 - 6 = 35.75

11-square root of x where x=64

Answers

Answer = -3,-19 to 11-square root of x where x=64

Is this linear, exponential growth, exponential decay, or neither?​

Answers

Answer:

exponential decay

Step-by-step explanation:

the y coordinates are getting smaller while x gets bigger so for 1x y is .5 then .25 then .125 etc..

Three triangles are drawn on the same piece of paper such that no two sides are on the same line. What is the maximum number of points of intersection of the three triangles?

Answers

Answer:

6

Step-by-step explanation:

Kathy bought 5 pencils for the price of $6.30. Which equation represents r, the cost, in dollars, of each pencil?
A.r=6.30+5
B.r = 6.30÷5
C.r=6.30×5
D.r=6.30−5

Answers

9514 1404 393

Answer:

  B.  r = 6.30÷5

Step-by-step explanation:

The cost per pencil is found by dividing the cost by the number of pencils.

Here, the cost is $6.30 and the number of pencils is 5. Then the cost per pencil (r) is ...

  r = 6.30 ÷ 5

The sum of −7 times a number and 8 times the sum of the number and 1 is the same as the number minus 7.

Answers

Answer:

n has no value.

There is no solution to this equation

Step-by-step explanation:

let n be the number

In pieces:

sum of the number and 1: (n + 1)

8 times the sum: 8(n + 1)

-7 times a number: -7n

sum of -7 times and...: -7n + 8(n + 1)

number minus 7: n - 7

the same as: =

All together:

-7n + 8(n + 1) = n - 7

-7n + 8(n+1)=n-7

-7n + 8n+8=n-7

0=-15

What is equivalent to -2(x-5)?

Answers

Answer:

-2x+10

Step-by-step explanation:

-2(x-5)

Distribute

-2*x -2*-5

-2x+10

Select the correct difference. 5d^2 + 4d - 3 less 2d^2 - 3d + 4

Answers

Answer:

[tex]3d^2+ 7d- 7[/tex]

Step-by-step explanation:

Given

[tex]P_1 = 5d^2 + 4d - 3[/tex]

[tex]P_2 = 2d^2 - 3d + 4[/tex]

Required

P1 less P2

This means that we subtract P2 from P1.

So, we have:

[tex]P_1 - P_2 = 5d^2 + 4d - 3 - (2d^2 - 3d + 4)[/tex]

Remove bracket

[tex]P_1 - P_2 = 5d^2 + 4d - 3 - 2d^2 + 3d - 4[/tex]

Collect like terms

[tex]P_1 - P_2 = 5d^2 - 2d^2+ 4d + 3d- 3 - 4[/tex]

[tex]P_1 - P_2 = 3d^2+ 7d- 7[/tex]

The difference is: [tex]3d^2+ 7d- 7[/tex]

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