A cone-shaped container is completely filled with liquid. The container has a radius of 60 cm and an height of 210 cm. The liquid is drained from the container at a rate of 1099 cm³ per hour. How many hours will it take to drain all of the liquid? Use 3. 14 to approximate pi. Enter your answer in the box. Hours.

Answers

Answer 1

Find the volume of the cylinder to know how much liquid is in it:


volume of a cylinder = Pi x r^2 x height.


Volume = 3.14 x 60^2 x 210

Volume = 2,373,840 cubic cm


now to find the length of time divide total cubic cm by the drainage rate:


2,373,840 / 1099 = 2,160 hours


Answer: 2,160 hours


Related Questions

what is 8x =72 please help me know tank you

Answers

Answer:

x = 9

Step-by-step explanation:

this is because 8 times 9 = 72

Please help I attached a photo.

Answers

Answer:

55w + 145

Step-by-step explanation:

Total = all accounts, so you have to add 10w to 45w, and 120 to 25

10w + 45w = 55w

120 + 25 = 145

So the answer is 55w + 145

help for brainiest asap pleaseeeeee

Answers

Answer:

angle A = 45°

angle B = 110°

angle C = 25°

Answer:

i hope this will help uh.

Write the equation of a line parallel to the line y = 3x+5 and passes through the point (-7, 2)

Answers

Answer:

y=3x+23

Step-by-step explanation:

Parallel lines have the same slope, so we basically keep the same equation, but we find the new y-intercept so it accounts for (-7,2):

y = 3x + b

2 = 3(-7) + b

2 = -21 + b

23 = b

Therefore, your equation would be y=3x+23

You buy a bicycle helmet for $22.26, which includes 6% sales tax. The helmet is discounted 30% off the selling price. What is the original price?

Answers

Answer:

The original price of the helmet is 30$

Step-by-step explanation:

30$ for the helmet before discounts and sales prices. you have to subtract the 6% sales tax, which is found by dividing 22.26 by 0.06. after subtraction, you must add the discount back, leading you to divide 22.26 by 0.30. then you have to add the answer to that back to the new number.

Darlene is making a quilt that has alternating stripes of regular quilting fabric and sateen fabric. She spends $76 on a total of 16 yards of the two fabrics at a fabric store. Sateen fabric costs $6 per yard and quilting fabric costs $4 per yard. Which system of equations can be used to find the amount x (in yards) of regular quilting fabric and the amount y (in yards) of sateen fabric she purchased?

Answers

Answer:

[tex]\left \{ {{6x+4y=76} \atop {x+y=16}} \right.[/tex]

Step-by-step explanation:

1) if (according to the condition) the amount of quilting is 'x' and the amount of sateen is 'y', then the price of the quilting fabric is 6*x and the price of then sateen fabric is 4*y;

2) the 76$ she spends can be written as 6x+4y=76;

3) total of 16 yards can be written as x+y=16;

4) finally, the required system is:

[tex]\left \{ {{6x+4y=76} \atop {x+y=16}} \right.[/tex]

A system of equations is a collection of two or more equations with a same set of unknowns. 4x+6y=76, x+y=16 are required system of equations.

What is system of Equations?

A system of equations is a collection of two or more equations with a same set of unknowns.

According to the condition the amount of quilting is 'x' and the amount of sateen is 'y', then the price of the quilting fabric is 4x and the price of then sateen fabric is 6y;

the 76$ she spends can be written as 4x+6y=76;

Total of 16 yards can be written as x+y=16;

So the required system of Equations is:

4x+6y=76

x+y=16

Hence Option C is correct. 4x+6y=76, x+y=16.

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A bridge has 45, -45, -90 right trangular supports. If the hypotenuse of each support is 16 ft, find the length of each leg of a support. PLS HELP ASAP

Answers

Answer:

16, 11.314, 11.314

Step-by-step explanation:

You can get this answer because we know that a 45, 45, 90 triangles formula (aka The Pythagorean Theorem) is:

a^2+b^2=c^2

Hope this helps :D

Benita buys 2 shirts for the same price s the taxe sale rate is 6.5%​

Answers

Answer:

2s + 0.13s

2.13s

Step-by-step explanation:

One shirt costs s.

2 shirts cost 2s.

The tax rate is 6.5%, so the tax on 2s is 0.065 × 2s = 0.13s

The total cost with tax is 2s + 0.13s

You can also find the total cost by realizing that since the tax is 6.5%, the total price with tax is 1.065 times the cost, so you can write it as 1.065 × 2s = 2.13s

Answer:

2s + 0.13s

2.13s

Answer:

2.13s

and

2s+0.13s

Step-by-step explanation:

Because 2 shirts is s and 6.5 per cent would turn into 6.5 because of 2 times 1.065 is 0.13 which is the answer for part 2

10. 8 fewer than the sum of 14 and a number

Answers

Answer:

6 +x

Step-by-step explanation:

Let the number = x

Sum of 14 and a number = 14 +x

8 fewer than (14 + x )= 14 + x - 8 = 6 +x

Answer: 14 + x - 8 (can also be 6 + x)

Step-by-step explanation:

8 fewer means we're subtracting 8, which is -8

Sum of 14 and a number would be 14 + x

All of this combined would be 14 + x - 8 but if you want to simplify it, you can subtract 8 from 14 and get 6. This would be 6 + x.

Just need help with the problems that have X’s next to them.

Answers

Answer:

Here's the ones I got so far

Step-by-step explanation:

38% of 250 = 95

7.5(3 * 7 + 4) = 187.5... x = 7

28 + x > 42... X can be 67, 96, 54

380 / 5 = 76 each hour

3 gallons of gas for 1 hour, 3 x 15 hours = 45 gallons

COP = 0.75, havent found rule, if i do ill comment

shaded triangle = 40..... 8 × 10 / 2= 40... explanation: a triangle (right in this case) would be divided by 2 because its half of a square / rectangle.


The base of an isosceles triangle is 30” and the altitude to that base is 8”. Find the length of one of
the two equal sides of the triangle.

please help!

Answers

Answer:

17"

Step-by-step explanation:

Isosceles means there are two equal sides in this triangle.

So the height not only is perpendicular to the base, but also cuts the base in half.

Each half is 15 inches. (30÷2=15) See image.

These half triangles formed by the height, are right triangles. You can use Pythagorean theorem or if you're familiar with the pythagorean triple 8, 15, 17, you will find the length of the side is 17 inches. See image.

If I multiply my age in six years' time by three, the resulting age is my mother's age now. If my
mother is currently 48 years old, how old am I?

Answers

Answer:

I think 30

Step-by-step explanation:

I don't know I could be wrong

Answer:

10

Step-by-step explanation:

let your current age be x.

mother's age=48

3(x+6)=48

3x+18=48

3x=30

x=10

Evaluate for M = 10, N = -5, and P = -2 .

Answers

Answer:

10/-5 =2/-1 = -2

Step-by-step explanation:

If this does not help, just ignore it honestly.

**i would appreciate it if someone helped! ** Here is a number pyramid puzzle.
Fill in each blank with a number so that every number
is the product of the two numbers directly below it.

Answers

Answer:

*

Step-by-step explanation:

                   - 96

                -8         12

          - 4         2          6

     4         -1          -2       -3

16       .25     -4        .5           -6

Each circle along with the number to be filled in it is mentioned below.

What is a Number Sequence?

Number sequence is a progression or an ordered list of numbers governed by a pattern or rule.

Given is a pyramid puzzle.

The rule to be followed in order to complete this pyramid is as follows "Every number is the product of the two numbers directly below it".

Fill Circle [1] with the number 72.

Fill Circle [2] with the number 6.

Fill Circle [3] with the number 3.

Fill Circle [4] with the number 6.

Fill Circle [5] with the number 0.75.

Fill Circle [6] with the number -2.

Fill Circle [7] with the number 16.

Fill Circle [8] with the number 3.

Fill Circle [9] with the number -6.

Therefore, each circle along with the number to be filled in it is mentioned above.

To solve more questions on puzzles, visit the link below-

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Mins bought 4 1/2 pounds of cheddar cheese she used 1 1/3 pounds to make sandwiches how much cheese does she have left

Answers

She has 19/6 pounds (aka 3 1/6 pounds) of cheese left.

An analogue clock is gaining three minutes every hour.If you set it to the correct time at 6 p.m. in Saturday,when will it show the correct time again?

Answers

Answer:

The correct time will be shown again at 6pm on Monday

What is the domain of the function on the graph?
5
A. all real numbers
4+
3
B. all real numbers greater than or equal to -2
C. all real numbers greater than or equal to -5
all real numbers greater than or equal to 0
2+
i
1
5 4 3 2 11
1
2.
3
4 5
x
-2
-3
ov
-4

Answers

You can solve it by yourself only as no graphs attached.Steps provided below

First locate the starting pair of co-ordinates on function.

Mark that

.If a. pair be (x,y) x is domain and y is range.Do same and find end points.

Now unite both using interval notation

what is 3 times 34 divided by 2 plus 8 times 5

Answers

think it’s 91 because i used PEMDAS
multiplied 3x34=102 divided by 2 is 51 plus 40 because 8x5 is 91

Answer: 91

Step-by-step explanation: 3 times 34 is equal to 102... let us work out the problem together.


3 x 34 = 102


now we must divided 102 by 2 which will equal 51

Now the final step is to do 8 times 5

8 times 5 = 40


51 plus 40 = 91


this is the correct way to do the equation.


so our final answer is 91

Oscar bought a circular cover for his backyard spa with an area of 48 square feet. How can Oscar best determine the radius of the spa cover? A Divide 48 by , then take the square root of the quotient. B Take the square root of 48, then divide the quotient by T. C Multiply 48 byt, then multiply the product by itself. D Take the square root of 48.​

Answers

Answer:

it is very hard questions but i give answer

Question shown in image. Worth 100 points

Answers

Answer:

75 degrees

Step-by-step explanation:

The corresponding angle is 75 degrees

Answer:

75 Degrees

Step-by-step explanation:

They are corresponding which would be 75 Degrees

Plzzzzzz help meeeeee

Answers

Answer:

C

Step-by-step explanation:

The picture

what percent is 700 paise of 7 rupees​

Answers

To find :-

What percent is 700 paise of 7 rupees .

Solution :-

As we know that,

→ ₹1 = 100 p

So ,

→ 700p = ₹ 700/100

700p = 7

Now let's calculate % , as ;

→ 700p / ₹7 * 100 %

→ ₹7/₹7 *100 %

→ 1 *100%

100%

Hence 700p is 100% of 7 .

I hope this helps.

Step-by-step explanation:

We know that ,

1rupees = 100 paise

so , 7 rupees = 700 paise

We have to find the percentage of 700 paise of 7 rupees

Calculating Percentage ,

700paise/7rupees×100

7/7 × 100%

= 100%


Find the area and perimeter.
A^2 b 3a^2 a^2 4b

Answers

Answer: Area - 17a^2 b, Perimeter - 10a^2 + 10 b

Step-by-step explanation:

To find the area, we can divide the figure into 3 separate rectangles.

Then, we find the area of each separate rectangle and add them together.

Area = a^2b + a^2b + 15a^2b

Area = 17a^2 b

The perimeter is the sum of all sides

Perimeter = a^2 + b + 3a^2 + b + a^2 + 4b + 5a^2 + 4b

Perimeter = 10a^2 + 10 b

1) If 13cos theta =5 then tan theta =?​

Answers

Answer:

here sin theta = 5/13, and cos theta = 12/13

Step-by-step explanation:

so here tan theta = 5/12 [ as given ] tan=opposite/adjacent  so sin=opposite/hypo and cos = adjacent/hypo

Brainliest?!

The graph of y = x2 – 4 is shown... What are the solutions to x2 – 4 = 0?

Answers

Solition for [tex]x^2-4=0[/tex] is [tex]\pm2[/tex]

Ans: x₁=-2; x₂=2

Is this a proportion? show your work is please!

8/24 = 21/63

Answers

Answer:

1/3

Step-by-step explanation:

yes, this is a proportion ie 8 is equal to 21 then 24 is 24 ×21 ÷8 = 63.

Solve for x. I’ll give points!

Answers

Answer:

x = 5

  explanation:

solving similarities:

bigger triangle is double of the smaller triangle.

balancing them:

→ x + 9 = 2(2x - 3)

→ x + 9 = 4x - 6

→ 4x - x = 9 + 6

→ 3x = 15

→ x = 5

[tex]→x + 9 = 2(2x - 3)[/tex]

[tex]→x + 9 = 4x - 6[/tex]

[tex]→ 4x - x = 9 +6[/tex]

[tex]→ 3x = 15[/tex]

[tex]→ x = 5[/tex]

Pls help thx
I WILL PICK THE BEST ONE

Answers

Answer:

a) 0.11

b) 60

Step-by-step explanation:

a)

Probability that a 3 will be rolled = frequency of 3 / total frequency

frequency of 3 = 11

total frequency = 100; 12 + 35 + 11 + 23 + 7 + 12 = 100

= 11/100

= 0.11

Answer: 0.11

b)

Probability of getting 6 = 12/100 = 0.12

Now, the dice is rolled over 500 times:

total times = 0.12 × 500

= 60 times

Answer: 60

A business assistant must leave more than $50 in the supply account. There is $200 in the account. The assistant needs to order x boxes of pens that cost $10. 50 each. What is the maximum number of boxes of pens the business assistant can buy? 10 boxes 14 boxes 15 boxes 23 boxes.

Answers

Answer:

14 Boxes Of Pens

Step-by-step explanation:

Hope This Helps :)

I need help! really help!​

Answers

Answer:

B and I

Step-by-step explanation:

1 x 3 = 3

2 x 3 = 6

3 x 3 = 9

etc.

12 x 3 = 36

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