A cylindrical tank has a height of 10 feet and a radius of 4 feet. Carla fills the tank with water at a rate of 8 cubic feet per minute. At this rate, how many minutes will it take Carla to completely fill the tank without it overflowing? Round your answer to the nearest minute.

Answers

Answer 1
Area = 10(pi)(16) = 160pi cubic feet
160pi = 502.56
502.56/8 = 63 minutes
Answer 2

The time it will take for Jane to completely fill the tank without overflowing would be 62.8 minutes.

Used the concept of the volume of the cylinder:

The volume of the cylinder can be determined using the formula,

[tex]V = \pi r^2h[/tex]

Given:

A cylindrical tank has a height of 10 feet.

The radius of the cylindrical tank is 4 feet.

Jane fills the tank with water at a rate of 8 cubic feet per minute.

Since, the volume of the cylinder:

[tex]V = \pi r^2h[/tex]

Substituting the values, we have;

[tex]V = 3.14 \times 4^2 \times 10[/tex]

[tex]V = 502.4 \tex{ feet^3 }[/tex]

Thus, the volume of the cylinder is 502.4 cubic feet.

Time taken:

The time taken can be determined using the formula,

[tex]\text{Time} = \dfrac{\text{Volume}}{\text{Rate of filling}}[/tex]

Substituting the values, we have;

[tex]\text{Time} = \dfrac{\text{502.4}}{\text{8}}[/tex]

[tex]\text{Time} = 62.8[/tex]

Thus, Jane takes 62.8 minutes to completely fill the tank without overflowing it.

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Related Questions

i need help with this pleaseeee

Answers

Answer:

64.44

Step-by-step explanation:

Area of the rectangle:

A = bh

A = 7 x 11

A = 77

Area of a circle:

A = πr²

A = 3.14(2²)

A = 3.14(4)

A = 12.56

Combined:

77 - 12.56

64.44

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Answer:

This percent is a decrease

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Step-by-step explanation:

PLEASE HELP 2x^2-8x+6=0

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Answer:

x = 4 or x = -1

Step-by-step explanation:

2x^2 - 8x + 6 =0

divide by 2 we get  : x^2 -4x +3 = 0

(x -4) (x+1)

x = 4 or x = -1

In the image, pretty sure 24 is a plane. Not sure about 23.

Answers

9514 1404 393

Answer:

  23. A  (postulate)

  24. A  (line)

Step-by-step explanation:

23. A postulate is assumed true without proof. A theorem must be proven before it can be used as a reason in a proof. Postulates, theorems, and definitions can all be used as reasons in a proof.

__

24. Two planes intersect in a line. An example is attached.

A 90 degree clockwise rotation moves a point to the exact same location as what other rotation?

Answers

Answer:

12+hd

Step-by-step explanation:

Answer:

Rule : When we rotate a figure of 90 degrees clockwise, each point of the given figure has to be changed from (x, y) to (y, -x) and graph the rotated figure. Let us look at some examples to understand how 90 degree clockwise rotation can be done on a figure.

1 Answer. No, it is not possible. If you have a rectangle that is 2 units tall and 1 unit wide, it will be the same way up after a horizontal or vertical reflection. You can rotate a rectangle through 90 degrees using 2 reflections, but the mirror line for one of them should be diagonal.

Step-by-step explanation:

please mark this answer as brainlest

x+2y=3;3x+5y=7 solve by elimination method

Answers

Answer:

(- 1, 2 )

Step-by-step explanation:

Given the 2 equations

x + 2y = 3 → (1)

3x + 5y = 7 → (2)

Multiplying (1) by - 3 and adding to (2) will eliminate the x- term

- 3x - 6y = - 9 → (3)

Add (2) and (3) term by term to eliminate x

0 - y = - 2

- y = - 2 ( multiply both sides by - 1 )

y = 2

Substitute y = 2 into either of the 2 equations and solve for y

Substituting into (1)

x + 2(2) = 3

x + 4 = 3 ( subtract 4 from both sides )

x = - 1

solution is (- 1, 2 )

Answer:

(2,1)

Step-by-step explanation:

A P E X

Can someone help me on this math question pls I have 12 more questions I need help on too !

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A is the answer. Since they will both be divided by 4 due to the same amount of points, because Globrite has a greater range, it will have a greater mean. Glo brite also ranges bigger than Luminate

2. ABC: You eat at your favorite restaurant, and your bill is $52.60. On top of that, you need to pay 8% sales tax, and leave a 20% tip for the waiter based on the pre-tax amount. How much will you pay total?​

Answers

Answer:

$67.25

Step-by-step explanation:

52.60 x 8%  = 52.60 x 0.08 = 4.21

52.60 x 20% = 52.60 x 0.20 = 10.44

52.60 + 4.21 + 10.44 = 67.25

pls how do i solve htis question...... (x+1)^3​

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Answer:

x^3+3x^2+3x+1

Which triangle is NLM congruent to ? Please answer !!!!! Will mark Brianliest !!!!!!!!! URGENT

Answers

Answer:

Triangle NLM is congruent to triangle XZY

Step-by-step explanation:

hope this helps

The amount of money earned by Alejandro varies directly to the number of hours
worked. Alejandro worked for 12 hours and earned $150. How much money did he
earn if he worked 38 hours?
$474
$475
$150
$100

Answers

Answer:

474

Step-by-step explanation:

38/12= 3.16

3.16x150=474

can you answer this PLEASEEEE​

Answers

The figure is a parallelogram so the facing sides have equal size which means :

DE = GF & DG = EF

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

DE = 3x - 1 , GF = 2x + 11

DE = GF ==》 3x - 1 = 2x + 11

subtract sides minus 2x

==》- 2x + 3x - 1 = - 2x + 2x + 11

collect like terms

==》 x - 1 = 11

add sides 1

==》 x - 1 + 1 = 11 + 1

==》 x = 12

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

As we found : DG = EF

DG = 2x - 3 So EF = 2x - 3

To find the size of EF, we need to put the value of x (which we found above) instead x.

EF = 2 × ( 12 ) - 3 ==》 EF = 24 - 3

==》 EF = 21

And we're done...

I need help fast not not like serious help me

Answers

Answer:

D

Step-by-step explanation:

hope it helps .

sorry about the pic , kinda hard to get the whole

Find the volume of the solid. Round your answer to the nearest tenth.​

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Correct ~~~~~~~~~~~~~~~~~~~~~~

What is a sequence ?

Answers

Answer:

A particular order in which related events, movements, or things follow each other.

Step-by-step explanation:

Hope this helps have a great day :)

solve the equation with steps

x/-3.5+33=30

Answers

Answer:

0.5

Step-by-step explanation:

(-3,7); (-10,0)



For 20 points

Answers

Answer:

The slope is 1

Step-by-step explanation:

(0-7)/(-10+3)=

-7/-7= 1

Answer:

m  =  1

Step-by-step explanation:

Slope is:

[tex]\frac{y_2-y_1}{x_2-x_1}[/tex]

We are given the points (-3, 7) and (-10, 0).

[tex]\frac{0-7}{-10-(-3)}=\frac{-7}{-7} =\boxed{1}[/tex]

The slope is 1.

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Answers

Answer:

The value of the missing angle is 103.

Step-by-step explanation:

Diana is painting a circular mural on her wall. Her mural is going to have a diameter of 7 feet. How much wall space will she be painting?

Answers

it is one cause the wall is circular

Answer: 1

Step-by-step explanation: the wall is circular, it doesn’t has a space

Can you guys help with the exercise?

Answers

yeah just don’t be fat

Mary was allowed a discount of 11% for goods worth sh.8000 and a discount of 8.6% for goods worth sh.17000. What percentage discount was she allowed altogether ​

Answers

Mary got 9.37%. discount .

What is percentage discount?A percentage discount is a reduction in the price of a good or service that is expressed as a number of hundred. A 20 percent reduction, for instance, would result in an item that was originally $100 costing $80.

Given ,

             discount = 11%

So,

        ((8000x0.110) + (17000x0.086)) = 2342

           ⇒     2342 / (8000+17000) = 2342/25000

                                    = 0.0937 or 9.37% discount.

The percentage discount allowed all together was 9.37%.

Learn more about percentage discount

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please help me with this both question i will give you brainliest

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Answer:

I got 40, but the picture cuts off so I don’t know if there’s another number.

Step-by-step explanation:

Just do 8 times 5 to get 40!

Hope this helped!

[tex]\huge\red{\boxed{\tt{\colorbox{pink}{ANSWER:}}}}[/tex]

40

just do 5 × 8

i remember this lesson when i was grade 4:)

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Find the height of the cylinder

Answers

Answer:

the height is 3.998 cm

Step-by-step explanation:

h = V / (π * r²)

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Step-by-step explanation:

here u go dear

these are the required equation and determined values

-3x + 7 > - 17 please someone answer

Answers

Answer:

x<8

Step-by-step explanation:

Answer:

x<8

Step-by-step explanation:

−3x+7>−17

Step 1: Subtract 7 from both sides.

−3x+7−7>−17−7

−3x>−24

Step 2: Divide both sides by -3.

−3x

−3

>

−24

−3

x<8

the square of a negative number increased by 6 times the number is 72. Find the number.

Answers

Answer:

y = 6

Step-by-step explanation:

(y + 6) × y = 72

y = negative number²

When negative numbers are squared they become positive.

y = 6

Check

(6 + 6) × 6 = 72

12 × 6 = 72

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Answers

There's a theorem for this: the angle made by two intersecting secants of a circle has a measure equal to half the difference of the arcs the secants intercept. In this case,

x = (130° - 30°) / 2 = 50°

I need help Solve 4 – х = -8

Answers

Answer:

Step-by-step explanation:

4 - x = - 8

Bringing like terms on one side

4 + 8 = x

12 = x

i will give you brainiest if you give right answer

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the easiest way to write that in an expression:
(11 x 3.5) -9

Aziz purchesis 4 2/8 feet of fabric he used 1/5 of fabric to make a tote bag how much fabric will aziz have left over?

Answers

Answer:

3/20

Step-by-step explanation:

Fabric left over = total fabric purchased - total fabric used to make a tote bag

total fabric used to make a tote bag = [tex]4\frac{2}{8}[/tex] × [tex]\frac{1}{5}[/tex] =

[tex]\frac{34}{8}[/tex] × [tex]\frac{1}{5}[/tex] = [tex]\frac{34}{40}[/tex]

fabric left over = 1 - 34/40

40 / 40 - 34/40  = 6 /40

To transform to the simplest form. divide both the numerator and the denominator by 2

3/20

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