What is the surface area of the cylinder with height 5 mi and radius 2 mi? Round your
answer to the nearest thousandth.

Answers

Answer 1

Answer:

62.8319 mi²

Step-by-step explanation:

The volume formula here is V = (area of base)(height),

If we fill in the given measurements, we get:

V = π(2 mi)²(5 mi) = 62.8319 mi²


Related Questions

Marlene went shopping and bought a bunch of candy for her swim team. She bought packs of Skittles for $1.50 each and packs of M&Ms for $2 each. She spent a total of $39 and bought 24 items. How many of each item did she buy?

Answers

Answer:

18 Skittles

6 M&Ms

Step-by-step explanation:

Set up an equation:

Variable x = number of skittles

Variable y = number of M&Ms

1.50x + 2y = 39

x + y = 24

In the second equation, isolate a variable:

x = 24 - y

Substitute the value of x for 24 - y in the first equation:

1.50(24 - y) + 2y = 39

Use distributive property

36 - 1.5y + 2y = 39

Combine like terms

36 + 0.5y = 39

Isolate variable y:

0.5y = 3

y = 6

Substitute the value of y for 6 in the second equation:

x + 6 = 24

Isolate variable x:

x = 18

Plug these values into any equation of your choice to see if these values are correct (I'll do both equations just to prove it):

1.50(18) + 2(6) = 39

27 + 12 = 39

39 = 39

Correct

x + y = 24

18 + 6 = 24

24 = 24

Correct

Write an equation of the line that passes through a pair of points:

a. y = x + 3
b. y = x - 3
c. y = -x + 2
d. y = -x-2

Answers

Answer:

C. y = -x + 2

Step-by-step explanation:

Sana nakatulong

Which logarithmic equation correctly rewrites this exponential equation?

Answers

Answer:

A. [tex] log_{8}(64) = x[/tex]

Step-by-step explanation:

[tex] {8}^{x} = 64 \\ \\ \implies log_{8}(64) = x[/tex]

please help asapppppp

Answers

Answer:

45 degree

Step-by-step explanation:

If I drive at `70` miles per hour, my journey will take `2.5` hours. How long will my journey take if I drive at `60` miles per hour? Explain your answer

Answers

Answer:

It'll take 25 more minutes

Step-by-step explanation:

Please help soon!!!!!

Answers

The answer is 96in because is you multiply 8x2x6= 96

HELPPPPPPPPPPPPPPP!!!!!!!

Answers

i think it’s -2 and 10 but sorry if i am wrong btw the 10 is on the left and -2 on the right

Answer:

I feel like the answers are 10 and -2

Step-by-step explanation:

Hope this helps! Have a great day and good luck! :)

The 4th term of an arithmetic sequence is 24 and the 12th term is 56, what is the first term?​

Answers

First term = 12
Solution:
A4 = 24
A12 = 56
An = A1 + (n-1)d; this defines the formula of an arithmetic series
A4 = 24 = A1 + (4-1)d
A4 = 24 = A1 + 3d
A12 = 56 = A1 + (12-1)d
A12 = 56 = A1 + 11d
Subtract A4 from A12 to get d (distance)
(56 = A1 + 11d) - (24 = A1 +3d)
32 = 8d
d = 4
Substitute d = 4 into A4
A4 = 24 = A1 + 3(d)
24 = A1 + 3(4)
24 = A1 + 12
24 - 12 = A1
12 = A1

Answer:

First term = 12

Step-by-step explanation:

A4 = 24

A12 = 56

An = A1 + (n-1)d; this defines the formula of an arithmetic series

A4 = 24 = A1 + (4-1)d

A4 = 24 = A1 + 3d

A12 = 56 = A1 + (12-1)d

A12 = 56 = A1 + 11d

Subtract A4 from A12 to get d (distance)

(56 = A1 + 11d) - (24 = A1 +3d)

32 = 8d

d = 4

Substitute d = 4 into A4

A4 = 24 = A1 + 3(d)

24 = A1 + 3(4)

24 = A1 + 12

24 - 12 = A1

12 = A1

Please answer correctly! I will mark you as Brainliest!

Answers

Multiply the length by width by the height/3

7 x 6 x 8/3 = 112 in^2

The answer is 112 in^2

Answer:

112

Step-by-step explanation:

Solve the equation 4x-12=(11-3x)

Answers

Answer:

Step-by-step explanation:

4x - 12 = 11 - 3x

Bringing like terms on one side

4x + 3x = 11 + 12

7x = 23

x = 23/7

need help w this! will give brainliest and thanks to best answer :o) tysm<3

Answers

Answer:

A. They will pay more with the new price plan.

B. The new price plan would be cheaper.

Step-by-step explanation:

A. They will pay more with the new price plan.

For the current price plan, you would add the $3 rent to the two games (which are $4 each). This basically means:

$3 + $4 + $4 = $11

For the new price plan, you would add the $11 rent to the two games (which are $2 each). This basically means:

$11 + $2 + $2 = $15

Therefore, you pay more for the new price plan.

B. Using similar logic as part A, the current price plan 7 games would cost:

$3 + [7 x ($4)] = $31    (multiply by 7 since they play 7 games)

For the newprice plan, 7 games would cost:

$11 +  [7 x ($2)] = $25    (multiply by 7 since they play 7 games)

Therefore, the new price plan would be cheaper.

Hope this helps :)

Essie has two identical containers she fell one with milk and the other with water if the first container holds about 10 L of milk how much does the second container holds

Answers

Answer:

10 liters of water

Step-by-step explanation:

Given

[tex]A = 10L\ milk[/tex]

Required

How much the second holds

Since they are both identical, then both containers hold the same volume (even if the quantity they hold are different)

Hence:

[tex]B = 10L\ water[/tex]

39 POINT BRAIN.LY QUESTION WHAAA

Answers

Answer:

thx for the points

Step-by-step explanation:

Answer:

Where is the question tho whaaAAaaaa

Sketch the graph for each function. Choose either A, B, C, or D.

Answers

Hi. Here it is!
I hope this help...

—> And the answer is letter A

hi i need help again
(I need help on number 9) ty

Answers

Answer:

You did not take the picture correctly, try taking it again

Step-by-step explanation:

I can’t seeeee

Which gives the line of best fit?

Answers

Answer:

B

Step-by-step explanation:

Note: Enter your answer and show all the steps that you use to solve this problem in the space provided The top five test scores in Mr. Rhodes's class were 98, 92, 96, 97, and 97. What is the mean absolute deviation?​

Answers

Step-by-step explanation:

mad = 98 + 92 + 96 + 97 + 97 / 5

= 480/5

= 96

mad = (98 -96) + (92 - 96) + (96 -96) + (97- 96) + (97 -96) / 5

= 2 + (-4) + 0 + 1 + 1 / 5

=0/5

mad = 0

brainliest is appreciated

Answer:

1.6

Step-by-step explanation:

To find the mean absolute deviation of the data, start by finding the mean of the data set. Find the sum of the data values, and divide the sum by the number of data values. Find the absolute value of the difference between each data value and the mean: |data value – mean|.

98+92+96+97+97=480

480/5 values=96 is the mean or average of the set of numbers

so we just find the absolute value of the data value minus the mean.

For the first one it would be |98-96|=2

then continue on and get a set of values

{2,4,0,1,1}

now find the average of that to get the mean absolute deviation

2+4+0+1+1=8

8/5 values

1.6

Hope that helps :)

2. If m arc VW - 62" and marc YZ -25°, then what is the
measure of

Answers

136.5
Add the two arcs to get 87. All circles have a circumference of 360. 360-87=273. The two angles are vertical angles so they are congruent and have the same number. 273/2 is 136.5

Write an equation for the linear function graphed above;​

Answers

Answer:

y = -1/4x + 16

Step-by-step explanation:

the slope is -1/4 and the y-intercept is 16

The diameter of a circle is 19 meters. Complete the description for how you would find the circumference.

Answers

Answer:

The circumference of a circle is 2*pi*r or pi*diameter. The circumference is 19pi

!PLEASE ANSWER ASAP! VERY IMPORTANT! THANK YOU!!

An experiment compares weight of fish for two different brands fish food. Nacho Average Minos
fish food has a mean fish weight 10 lbs. and a standard deviation of 1.5 lbs. Impossible Minos fish
food has a mean fish weight of 12 lbs. and a standard deviation of 1 lb. A fish is measured to be
11.25 lbs. Which brand of fish food, Nacho Average Minos or Impossible Minos, is more likely to have
been used to feed this fish?

Answers

Answer:

Nacho Average Minos

Step-by-step explanation:

z=11.25-10/1.5 = 1.25/1.5 = 0.834

z=11.25-12/1 = -0.75/1 = -0.75

find the height of a cone when its diameter is 8 inches and the volume is 100 cubic inches

Answers

Answer:

[tex]\frac{75}{4\pi }[/tex] inches or approximately 5.97 inches  

Step-by-step explanation:

Use the cone volume formula: V = [tex]\pi[/tex][tex]\frac{h}{3}[/tex]

The diameter is 8 inches, so the radius will be 4 inches.

Plug in the radius and volume, and solve for h

V = [tex]\pi[/tex]r²[tex]\frac{h}{3}[/tex]

100 = [tex]\pi[/tex](4²)([tex]\frac{h}{3}[/tex])

100 = 16[tex]\pi[/tex][tex]\frac{h}{3}[/tex]

Divide each side by 16[tex]\pi[/tex]

[tex]\frac{25}{4\pi }[/tex] = [tex]\frac{h}{3}[/tex]

Cross multiply and solve for h:

4[tex]\pi[/tex]h = 75

h = [tex]\frac{75}{4\pi }[/tex]

So, the cone's height is [tex]\frac{75}{4\pi }[/tex] or approximately 5.97 inches  

Two forces with magnitudes of 25 and 30 pounds act on an object at angles of 10° and 100°, respectively. Find the direction and magnitude of the resultant force. Round to two decimal places in all intermediate steps and in your final answer.

I need an explanation please, I don't even know where to start.

Answers

Answer:

Here you go.

Step-by-step explanation:

x=25cos10+30cos100

y=25sin10+30sin100

v=√(x^2+y^2)

α=tan(y/x)  

Rounding to two decimal places in intermediate steps...

x≈19.41, y≈33.89

v≈39.05

α=60.20°

So (39.05, 60.20°)

Hope that helped, mark as brainliest asap not file exploiters

25% of what number is 65?

Answers

260 is the correct answer because 65 is twenty percent of 260

help pleaseee!! i’ll give u most brianliest

Answers

G is the answer

—————-

A circle with a shaded sector has a circumference of 12 pi millimeters. What is the area of the shaded sector? Express the answer in terms of Pi.

Answers

Answer:

The answer is C. 8 mm

Step-by-step explanation:

For me, i was able to divide the 80 by 12 and get 6.667 thus i was able to round up and conclude the answer in the answer choices

Answer:

c

Step-by-step explanation:

An operator at the top of a lighthouse sights a sailboat. The point from which the sighting is made is 25 m above sea level. The angle of depression of the sighting is 10 degrees. How far is the boat from the base of the lighthouse?

Answers

Answer:

141.78 m

Step-by-step explanation:

Let d = distance of boat from the base of the lighthouse

Tan 10 = 25/d

d tan 10 = 25

d = 25/tan 10

d = 141.78 m

What is the value of f(x) = 4x -9

Answers

Answer:

i believe its ()=4−9

Step-by-step explanation:

Answer:

f=4x-9

Step-by-step explanation:

f(x) = 4x-9

f(x)= 4x-9

x         x

f=4x-9

Under her cell phone plan, Lily pays a flat cost of $40 per month and $4 per gigabyte.
She wants to keep her bill under $60 per month. Write and solve an inequality which
can be used to determine x, the number of gigabytes Lily can use while staying within
her budget.

Answers

Answer:

16

Step-by-step explanation:

60-44

The inequality is $40 + 4x < $60 and she has to spend 5 gigabytes to stay within her budget

Note that:  

> means greater than

< means less than

≥ means greater than or equal to  

≤ less than or equal to  

The total amount Lily has to spend has to be less than $60

The total amount she can spend can be represented with this equation

Flat cost + variable cost < $60

Flat cost = $40

Variable cost = cost per gigabyte x gigabyte

$4 × x = $4x

$40 + 4x < $60

To solve for x, combine similar terms

$4x < $60 - $40

$4x < $20

x < 5

A similar question was solved here: https://brainly.com/question/24492243?referrer=searchResults

GIVING BRAINLIST ANYONE WHO CAN SOLVE ANY OF THEM!!!!

Answers

Answer:

x=36

x=127

x=36

Answer:

1. 36

2. 127

3. x = 36

Step-by-step explanation:

A line is 180 degrees.

1. 180 - 144 = 36

2. 38 + 15 = 53,  180 - 53 = 127

3. 180 - 92 = 88,  88 - 16 = 72,   72 ÷ 2 = 36

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