Find the lateral surface area of the cylinder. Round your answer to the nearest tenth.

Find The Lateral Surface Area Of The Cylinder. Round Your Answer To The Nearest Tenth.

Answers

Answer 1

Answer:

B. 489.8 ft²

Step-by-step explanation:

Lateral surface of the cylinder = 2πrh

Where,

radius (r) = 6 ft

height (h) = 13 ft

Let π = 3.14

Plug in the values into the formula

Lateral surface of the cylinder = 2*3.14*6*13

Lateral surface of the cylinder = 489.8 ft²


Related Questions

If 14 people are shorter than Alice, 12 people are taller than Bob, and 4 people are shorter than Alice and taller than Bob, how many people are there?

Answers

Answer:

THERE IS A LOT OF PEOPLE

A bakery celebrated its 25th anniversary
last Friday. On that day, every 12th
customer received a free loaf of bread
and every 9th customer received a free
cupcake.
Lauren was the first customer to receive
a free loaf of bread and a free cupcake. What was Lauren's number?

Answers

Answer:

8

Step-by-step explanation:

9: 9, 18, 27, 36, 45, 54, 63, 72

12: 12, 24, 36, 48, 60, 72

72 is the first number that can be divided (evenly) by both 9 and 12

Answer:

8

Step-by-step explanation:

9: 9, 18, 27, 36, 45, 54, 63, 72

12: 12, 24, 36, 48, 60, 72

72 is the first number that can be divided (evenly) by both 9 and 12

witch value of x makes this eqation true -12x-2(x+9)=5(x+4)​

Answers

Answer:

x = -2

Step-by-step explanation:

27 exponent x divided by 3 is equal to one divided by 81.​

Answers

27 exponent x/3 = 1/81

we can say exponent as power also

(27 power x) × (3 power -1) = 81 power -1

(3 power 3x) × ( 3 power -1) = 3 power -4

IN MULTIPLICATION WHEN BASES ARE SAME THEN POWERS ARE ADDED

3 power 3x + (-1) = 3 power -4

IN AN EQUATION WHEN BASES ARE EQUAL POWERS ALSO EQUAL

3x +(-1) = -4

3x - 1 = -4

3x = -4 + 1

3x = -3

x = -3/3

x = -1

Answer:

x = -1

Step-by-step explanation:

27 exponent x =  [tex]27^x[/tex]

Divided by 3 =   [tex]\frac{27^x}{3}[/tex]

Is equal to : [tex]\frac{1}{81}[/tex]

Therefore,

         [tex]\frac{27^x}{3} = \frac{1}{81}[/tex]

Cross multiplying :

       [tex]27^x \times 81 = 1 \times 3[/tex]

       [tex]27^x = \frac{3}{81}[/tex]

       [tex]27^x = \frac{1}{27}[/tex]

       [tex]27^x = 27^{-1}[/tex]

         [tex]x = -1[/tex]                     [tex][a^x = a^y => x = y][/tex]

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ɴᴏɴsᴇɴsᴇ = ʀᴇᴘᴏʀᴛ ​

Answers

216 in²

Step-by-step explanation:

The above diagram is a rectangular prism, a three-dimensional shape, having six faces, where all the faces (top, bottom, and lateral faces) of the prism are rectangles such that every two opposite side faces are identical.

Hence we can calculate the surface area of the diagram by multiplying the surface areas of the three faces by 2, and adding them together.

= 2(5 x 4.5) + 2(5 x 9) + 2(4.5 x 9)

= 45 + 90 + 81

= 216 in²

Problem:-

What is the approximate surface area of the figure?

A. 101.3 in²

B. 108 in²

C. 202.5 in²

D. 216 in²

Solution:-

Since the base of the prism is a rectangle, the perimeter P of the base is 2(9+4.5) or 27 inches. The area of the base is 9•4.5 or 40.5 square inches. The height is 5 cinches.

[tex]\sf{S=Ph+2B}[/tex]

[tex]\sf{ \: \: \: \: =(27•5)+2(4.5)}[/tex]

[tex]\sf{ \: \: \: \: =135+81}[/tex]

[tex]\sf{ \: \: \: \: =\:}{\color{magenta}{216}}[/tex]

Answers:-

The surface area of the figure is 216 square inches. So, the correct option is D.

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

#Hope it helps!

(ノ^_^)ノ

use the diagram below to find all the missing angles

Answers

Answer: M<1=135     M<2=45      M<3=135      M<4=45

Step-by-step explanation:

A baseball is "popped" straight up by a batter with an initial velocity of 32 ft/sec. The height of the ball above ground is given by a function where t is time in seconds after the ball leaves the bat and h(t) is the height in feet above the ground. The batter hit the ball at an original height of 4 feet off of the ground, and the acceleration due to gravity is -16ft/se2

Answers

Answer:

The ball reaches the maximum height after 1 seconds

Step-by-step explanation:

Given

[tex]y = -16t^2 + 32t + 4[/tex] --- the function missing from the question

Required

Time to reach maximum height

The time (t) to reach maximum height is calculated using:

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

Where

[tex]y =at^2 + bx + c[/tex]

So, by comparison:

[tex]a = -16[/tex]

[tex]b = 32[/tex]

[tex]c = 4[/tex]

So, we have:

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

[tex]t = -\frac{32}{2*-16}[/tex]

[tex]t = -\frac{32}{-32}[/tex]

[tex]t = \frac{32}{32}[/tex]

[tex]t = 1[/tex]

How would I figure this out?

Answers

Answer:

y = 23

x ≈ 13

Step-by-step explanation:

3y + (y+88) = 180

Solve for y

y =23

6x + 35 = y + 88

substitute y = 23

6x + 35 = 23 + 88

Solve for x

x ≈ 13


Ok in this type of problem the angles that are adjacent are equal to 180 also known as supplementary so...
6x+35+8x-23=180
14x+12=180
14x=168
x=12

3y+y+88=180
4y+88=180
4y=92
y=23
And what I think is wrong with the figure is that the vertical angles are not congruent
*double check all this info

61 1/20 as a decimal

Answers

Answer:

61.05

Step-by-step explanation:

1/20 = 5/100 = 0.05

61+0.05 = 61.05

61.05 is the answer

aman şego şego...... ....​

Answers

sego........ ... sego segó

Every spring the grade four students play the grade five students in softball. The graph shows their scores.
Softball Scores
5
4
Score
2
1
grade 4
grade 5
year 1 year 2 year 3
Year
year 4 year 5
In which year was the difference between the grade four score and the grade five score the greatest?
O A year 1
O B. year 2
Oc. year 3
D. year 4
O E years

Answers

Answer:

B

Step-by-step explanation:

Can y’all help me?! :)

Answers

Option C.88ft².

Answer:

Solution given:

side 1=19ft

side 2=25ft

height=4ft

now

area =½height (side 1+side 2)

=½*4*(19+25)=88ft²

Answer:

The area of trapezoid is 88 ft ² .

Step-by-step explanation:

The, area of trapezoid is given by

= 1 / 2 ( Base ¹ + Base ² ) × Height

Where,

Base ¹ and Base ² are the length of parrallel side and Height is the perpendicular distance between them.

1 / 2 ( Base ¹ + Base ² ) × Height

Where, given that

Base ¹ = 19 ftBase ² = 25 ft Height = 4 ft

Substitute the values

Area = 1 / 2 × ( 19 ft + 25 ft ) × 4 ft

add the both parallel sides of trapezoid

Area = 1 / 2 × 44 ft × 4 ft

multiply the values , we get

Area = 176 ft ²/ 2

Divide and we get

Area of trapezoid = 88 ft ²

Therefore, the area of trapezoid is 88 ft ².

Please help, show work! Limits and functions! 85 points!

Answers

Answer:

Ok I might misunderstand this but this is what I got ( in order )

Sherrie travels 120 miles in 3 hours. Find the unit rate of speed missing number.

Answers

Answer:

The unit rate of speed is 40 miles per hour.

Step-by-step explanation:

Since Sherrie travels 120 miles in 3 hours, to find the unit rate of speed the following calculation must be performed:

3 = 120

1 = X

(1 x 120) / 3 = X

120/3 = X

40 = X

Therefore, the unit rate of speed is 40 miles per hour.

Give an example of a composite number written as a product of primes.
Choose the correct answer below.
A. 60 = 2 x 2 x 15 or 60 = 22 x 15
B. 41 = 1x41
C. 28 = 2x2x7 or 28 = 22x7

Answers

c. 28=2x2x7

explanation: 28 is composite while 2 and 7 are prime numbers

What is the length of the diagonal of a rectangle that is 12 inches long and 6 inches wide?​

Answers

To find the diagonal of the rectangle we have to use Pythagorean theorem!

Pythagorean theorem is used to find the length of a missing angle such as the hypotenuse or the sides a and b.

Steps to solve:

1. 12 in is the length or the base of the right triangle, and 6 in is the wide or the side a.
2. Now use the formula: a^2+b^2=c^2, and plug in the numbers!
3. 6^2+12^2=c^2, now just solve the squared numbers.
4. 36+144=c^2
5. 180=c^2
6. Find the square root of 180.

And that is you answer!
If helped mark me the brainiest!!

Write an equation of a line that is parallel to 6x - 2y = -3 and passes through the point (1, 3).

Answers

Answer:

Step-by-step explanation:

hope this video link be helpfull to you

Write 5/14 with denominator 28

Answers

Answer:

10

Step-by-step explanation:

if you multiply 14 by 2 you get 28, therefore you have to multiply the numerator by 2 also, which gives you 10

Answer:

10/28

Step-by-step explanation:

5/14 = x/28

See that 28 is 14*2

So multiply 14*2 to get 28, and 5 * 2 to get 10

5 / 14 * 2/2 = 10 / 28

If my answer is incorrect, pls correct me!

If you like my answer and explanation, mark me as brainliest!

-Chetan K

what happens when you divide by 0? i did this problem in my calculator and it broke.
69 + 420 divided by 0

Answers

Answer:

ans is 0

Step-by-step explanation:

69 + 420 ÷ 0

489 ÷ 0

0

Answer:

Undefined

Step-by-step explanation:

When you try to divide by 0, your calculator will yield an error because any number (including zero) divided by zero is undefined.

You can think of it like this: if you divide any number by zero, how many times does zero go into that number? An undefined amount of times. If you had zero divided by zero, you'd still run into the issue that any number works:[tex]k\cdot 0=0, k\in \mathbb{R}[/tex]. Because [tex]k[/tex] can be any real number, it is still undefined.

There is an argument for infinity because for function  [tex]f(x)=\frac{k}{x}, k\in \mathbb{R}[/tex], as [tex]x[/tex] approaches 0, [tex]f(x)[/tex] approaches infinity:

[tex]\lim_{x\rightarrow 0}f(x)=\infty[/tex]

However, infinity is not a number and should not be treated as such. Undefined is a more precise answer.

A poll is given, showing 60% are in favor of a new building project.

If 7 people are chosen at random, what is the probability that exactly 5 of them favor the new building project?

Answers

Answer:  0.2612736

Round this value however you need to.

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

Explanation:

n = 7 = sample sizep = 0.60 = probability of someone being in favork = 5 = number of people in favor

We use the binomial distribution here. The formula for that is

P(k) = (n C k)*(p)^k*(1-p)^(n-k)

where the n C k refers to the nCr combination formula

[tex]_n C _r = \frac{n!}{r!*(n-r)!}[/tex]

simply replace r with k.

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

So,

P(k) = (n C k)*(p)^k*(1-p)^(n-k)

P(5) = (7 C 5)*(0.6)^5*(1-0.6)^(7-5)

P(5) = 21*(0.6)^5*(0.4)^(2)

P(5) = 21*0.07776*0.16

P(5) = 0.2612736

This decimal value is exact (meaning there aren't any other digits after that last '6'). Round this value however you need to.

There's roughly a 26.1% chance of getting exactly 5 people to be in favor of the project.

The length of a rectangle is six times its width.
If the perimeter of the rectangle is 84 in, find its area.

Answers

Answer:

6yd=W The width of the rectangle is 6 yards. L=6W=6(6yd)=36 yards The length is 36 yards. A=36yd*6yd=216 sq yd ANSWER: The area is 216 square yards...

The area of a given rectangle is 216 square inches.

Given that, the perimeter of the rectangle is 84 inches.

We need to find the area of a rectangle.

What is the perimeter of a rectangle?

The perimeter of a rectangle is the total distance of its outer boundary. It is twice the sum of its length and width and it is calculated with the help of the formula: Perimeter = 2(length + width).

Let the width of a rectangle be x.

Given, that the length of a rectangle is six times its width. So, length=6x.

Now, 84=2(6x+x)

⇒14x=84

⇒x=6 inches

Then, length=6x=36 inches.

Area of a rectangle= Length×width=36×6=216 square inches

Therefore, the area of a given rectangle is 216 square inches.

To learn more about the area of a rectangle visit:

https://brainly.com/question/20693059.

#SPJ2

What transformation(s) were made to the original f(x) = x3 graph?

The function was shifted to the right 3 units.
The function was shifted to the left 2 units.
The function was stretched by a factor of 2.
The function was shifted to the right 2 units.
The function was shifted upward 2 units.
The function was stretched by a factor of 0.5.

Answers

Answer:  it is c which is the function was stretched by all the factor of 2

hope this help

If f(x) = 2x – 6 and g(x) = 3x + 9, find (f+ g)(x).

Answers

Answer:

(f + g)(x) = 5x + 3

General Formulas and Concepts:

Pre-Algebra

Order of Operations: BPEMDAS

Brackets Parenthesis Exponents Multiplication Division Addition Subtraction Left to Right

Algebra I

Terms/CoefficientsFunctionsFunction Notation

Step-by-step explanation:

Step 1: Define

Identify

f(x) = 2x - 6

g(x) = 3x + 9

(f + g)(x) is f(x) + g(x)

Step 2: Find

Substitute in function values:                                                                          (f + g)(x) = 2x - 6 + 3x + 9Combine like terms:                                                                                         (f + g)(x) = 5x + 3

PLZ HELP ASAP!!!!!!!!!!!!!!

Answers

Answer:

AB = 5√55

Step-by-step explanation:

Part 1 = AD = 25

Hypotenuse = AC = 55

Leg 1 = AB = x

To find AB, apply the leg rule which is:

Hypotenuse/leg 1 = leg 1/part 1

Plug in the values

55/x = x/25

Cross multiply

x*x = 55*25

x² = 1,375

x = √1,375

x = 5√55

AB = 5√55

please help with the steps

Answers

9514 1404 393

Answer:

346.1 monthly payments; 28.8 years18.5 years; infinite years

Step-by-step explanation:

Two formulas come into play here. One is the future value of a series of payments. The other is the payment amount available from an ordinary annuity.

  FV = An/r((1 +r/n)^(nt) -1) . . . . future value of payments of A made n times per year for t years

  A = P(r/n)/(1 -(1 +r/n)^(-nt)) . . . . payment from principal P at invested at rate r for t years, compounded n times per year.

__

Problem 1

You want FV = $350,000, A = $400, r = 0.057, n = 12, and we want to find t. We can solve the FV equation for t to get ...

  log(FV·r/(An) +1)/log(1 +r/n) = nt . . . . . number of months

  log(350000·0.057/(400·12) +1)/log(1 +0.057/12) = nt ≈ 346.1

The retirement account can be funded by 346.1 monthly payments. That will take 28.8 years.

__

Problem 2

Again, solving for t, we get ...

  log(1 -Pr/(An))/(-n·log(1 +r/n)) = t

The parameters for this are P = 700,000, A = 5000, n = 12, r = 0.054, so the account can be expected to last for ...

  log(1 -700000·0.054/(5000·12))/(-12·log(1 +0.054/12)) ≈ 18.5 . . . years

Changing the withdrawal to $3000 per month makes the account last forever.  It earns $3150 in interest each month, so the account balance continues to increase.

The account will support withdrawals of $5000 per month for 18.5 years.

The account will support withdrawals of $3000 per month forever.

the data below shows the number of car thefts in a city for a period of 20 days. complete parts (a) and (b) below.

51, 64, 71, 56, 53, 68, 53, 49, 70, 33
64, 53, 79, 65, 55, 46, 80, 76, 73, 74

a. Draw an ordered stem and leaf plot for the data. ​

Answers

Answer:

Kindly check explanation

Step-by-step explanation:

The oederd data :

33, 46, 49, 51, 53, 53, 53, 55, 56, 64, 64, 65, 68, 70, 71, 73, 74, 76, 79, 80

Stem Leaf

3 | 3

4 | 6 9

5 | 1 3 3 3 5 6

6 | 4 4 5 8

7 | 0 1 3 4 6 9

8 | 0

Key :

3 | 3 = 33

Find the approximate surface-area-to-volume ratio of a bowling ball with a radius of 5 inches.
A 0.6
B. 0.67
C. 1.67
D. 25

Answers

Answer:

       

Step-by-step explanation:

surface area = 4πr^2
Volume = 4πr^3/3
S/V ratio = 4πr^2 / (4πr^3/3)
= 3/r
answer 1.67 C

Question
The angles in
triangle are such that one angle is 100 degrees more than the smallest angle, while the third angle is 2 times
as large as the smallest angle. Find the measures of all three angles.

Answers

9514 1404 393

Answer:

  20°, 120°, 40°

Step-by-step explanation:

Let s represent the smallest angle. Then the largest is (100+s) and the third angle is (2s). The sum of angles in a triangle is 180 degrees, so we have ...

  s + (100+s) +(2s) = 180

  4s = 80 . . . . . . . . . . subtract 100

  s = 20 . . . the smallest angle

  100+s = 120 . . . the largest angle

  2s = 40 . . . the third angle

The angle measures are 20°, 120°, and 40°.  

Answer for fee rbux and branlest!!!! i need answer NOW or i will be DIE (not good!!!)

Answers

Answer:

its B homie

Step-by-step explanation:

U stuped

Which statement is true?

Answers

Answer:

second 1

Step-by-step explanation:

i literally just had that question

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how do you think the particles in a substance behave when we give them more energy? Troy Engines, Ltd., manufactures a variety of engines for use in heavy equipment. The company has always produced all of the necessary parts for its engines, including all of the carburetors. An outside supplier has offered to sell one type of carburetor to Troy Engines, Ltd., for a cost of $34 per unit. To evaluate this offer, Troy Engines, Ltd., has gathered the following information relating to its own cost of producing the carburetor internally: Per Unit 21,000 UnitsPer Year Direct materials $ 14 $ 294,000 Direct labor 12 252,000 Variable manufacturing overhead 2 42,000 Fixed manufacturing overhead, traceable 9 * 189,000 Fixed manufacturing overhead, allocated 12 252,000 Total cost $ 49 $ 1,029,000 *One-third supervisory salaries; two-thirds depreciation of special equipment (no resale value).1. Assuming the company has no alternative use for the facilities that are now being used to produce the carburetors, what would be the financial advantage (disadvantage) of buying 21,000 carburetors from the outside supplier?Financial (disadvantage) ..................2. Suppose that if the carburetors were purchased, Troy Engines, Ltd., could use the freed capacity to launch a new product. The segment margin of the new product would be $210,000 per year. Given this new assumption, what would be financial advantage (disadvantage) of buying 21,000 carburetors from the outside supplier?Financial advantage ................... Which academic vocabulary word is most related to central ideas?A. learnB. valueC. developD. blend Indonesia's capital , was once the Dutch East Indies port of BataviaO Sulawesi O Puncak JaysO Jakarta O Krakatoa If f(1) = 1 and f(n + 1) = 5f(n) + 3 then find the value of f(4). 15 34% is equal to which decimal What is the common ratio for the sequence 1, 4, 16, 64,...? 1/41/224 Help plz..And No links!! I repeat No links!! PLEASE HELP ME WITH THIS ONE QUESTION The color orange has a wavelength of 590 nm. What is the energy of an orange photon? (h = 6.626 x 10^-19, 1 eV = 1.6 x 10^-19 J)A) 2.81 eVB) 3.89 eVC) 2.10 eVD) 2.78 eV which of the following is most likely the next step in the series? m (slope) = b ( y - intercept) =x - intercept = baby im jealous.... finish it And George, while his intelligence was way above normal,had a little mental handicap radio in his ear. He wasrequired by law to wear it at all times. It was tuned to agovernment transmitter. Every twenty seconds or so, thetransmitter would send out some sharp noise to keeppeople like George from taking unfair advantage of theirbrains.Which statement best describes the overall impact of the setting?A. The emphasis on the role of government in people's lives impliesthat society has gone too far to ensure equality.B. George and Hazel's watching television at home implies thatpeople have become isolated from each other.C. The description of George suggests that he is too afraid to use hisintelligence to improve society.D. George's transmitter is used to symbolize the excuses people useto prevent them from reaching their full potential. The ___ was not a true ziggurat. The lengths of two pieces of fabric are in the ratio 7:5. If the first length is 210 meters, what is the second length?* A family of 5 bought airline tickets. In addition to their ticket,each person had to pay $39 to check their bag. They spent a total of $1640. Find the price of each airline ticket The social media policy requires that colleagues: __________a. Never post CVS Health confidential information or personal information about our patients, customers or your colleagues online. b. Never take or post photos of any workspace or store that may contain confidential information. c. Never take or post pictures of patients or customers without their consent. d. All of the above Calculate the area and perimeter of a rectangle of sides 4 23 m and 2 m Why do scientists consider vestigial structures as an evidence for evolution Simplify the radical 245c3.O 56/490O 76/50O 49c2/5c?5c/TC