A tunnel is cylindrical. The tunnel is 400 m long with radius 2.3 m.
What is the capacity of the tunnel? Give the answer is liters. [Hint: 1 m3 = 1000 L]

Answers

Answer 1

Answer:

6647.6 liters

Step-by-step explanation:

The volume of a cylinder with end area r and length (or height) h is

V = πr²h

If we substitute 2.3 m for r and 400 m for h, we get:

V = π(2.3 m)²(400 m) = 6647.6 m³ or 6647.6 liters


Related Questions

If Y=6 and X=10 then find the value of y when x=8​

Answers

Y=85857483993&4 but Y=85 for short

Answer:

when x=10 & y=6

10-6=4 so,

x=8

y=4

What is perimeter also called?

Answers

Perimeter is the total length of all sides of a shape, also known as the circumference.

Perimeter is a measure of the distance around a two-dimensional shape. It is the sum of the lengths of all the sides of a shape. Perimeter is also known as the circumference. When calculating perimeter, you measure the length of each side of the shape and add them together. For example, the perimeter of a square with sides of 4 inches each would be 16 inches. Perimeter is an important concept in geometry, and it can be used to calculate area, the space within a shape or figure. It can also be used to calculate the distance between two points. Knowing the perimeter of a shape can help you solve many problems in math, design, and science.

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At the Middleton School festival, a tent covers a rectangular space 30 1/2 yards long and 9 1/3 yards wide. What is the area, in square yards, covered by the tent?

Answers

287.64 square yards

The High Roller in Las Vegas is now the world’s tallest Ferris wheel. The Ferris wheel has 520 ft. diameter, and the top of the Ferris wheel is 550 ft. off the ground. What would the vertical shift (k) be for this Ferris wheel?

Answers

Answer:

30

Step-by-step explanation:

which ratios are equivalent to 4: 30

Answers

Answer:

8 : 60

12 : 90

16 : 120

20 : 150

24 : 180

Step-by-step explanation:

Explain why we rationalize the denominator of a radical expression.

Answers

Answer:

To rationalize the denominator means to eliminate any radical expressions in the denominator such as square roots and cube roots. The key idea is to multiply the original fraction by an appropriate value, such that after simplification, the denominator no longer contains radicals

Perimeter > 50 solve please need by tonight

Answers

Answer:

Step-by-step explanation:

x + 4 + 2x - 6 + 10 > 50

4 - 6 + 10 = 8

x + 2x = 3x

3x + 8 > 50

Subtract 8 from both sides

3x > 50 - 8

3x > 42

Divide 3 from both sides

42/3 = 14

x > 14

help please with numbers 2-7 and please explain ur answer

Answers

2. A) 70 b) 67 c) 43 d) 43 e) 110 f) 137

Complete the following function table for the linear equation y=4x-1

Answers

First we can find value of x and. When x=0 then y=-1  and x=1 then y= 3

What is linear equation explain?

A linear equation is an algebraic equation of the form y=mx+b involving only a constant and a first-order (linear) term where m is the slope and b is the y-intercept.So the above given equation is called a "linear equation of two variables," where y and x are the variables.

How do you find the value of Y?

Finding the y value is easy if you know the slope of the line and the x coordinate. Review the equation for the slope of a line. The equation for finding the slope is: m = [y1 - y2] / [x1 - x2]. If you know x, you can solve for y to find the y value for the slope of the line.

Now we have y= 4x-1

lets x=0   then y= -1

     x=1      then y=3

     x=2     then y=7

To find slope

y=mx+c

y= 4x-1

so by comparing we can find m=4

Then we can evaluate given equation y=4x-1

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To divide 572 4, Stanley estimated to
place the first digit of the quotient. In which
place is the first digit of the quotient?

Answers

Answer:

The hundreds place

Step-by-step explanation:

143, first digit is , 1 is in the hundreds place

In the scale drawing below, 1 cm
represents 2 m.
a) What is the width, in metres, of the
building in real life?
b) The real building is 4.6 m tall. What is
the height of the drawing of the building,
in centimetres?
0
cm
1
2 3 4
5
6
7
8
זייןיייןיי
9 10

Answers

Answers:

A)  13 meters

B)  2.3 centimeters

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

Work Shown:

Part A

The ruler diagram shows the building on paper is 6.5 cm wide. The right side of the building lines up with the midpoint marker between 6 and 7.

1 cm = 2 m

6.5*(1 cm) = 6.5*(2 m)

6.5 cm = 13 m is the width of the building in real life

Or you can solve it like this

(1 cm)/(2 m) = (6.5 cm)/(x meters)

1/2 = 6.5/x

1*x = 2*6.5

x = 13

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

Part B

(1 cm)/(2 m) = (x cm)/(4.6 m)

1/2 = x/4.6

1*4.6 = 2*x

4.6 = 2x

x = 4.6/2

x = 2.3 centimeters is the height of the building in the drawing

What will be the successor of the greatest 7-digit number and the predecessor of the smallest 8-digit number? Is there any relation between these two numbers? If yes, state the relation.

Answers

Answer:

The largest 7-digit number, is a 7 nine digits, this number is:

9,999,999

If we subtract one, we get a 7-digit number smaller than this one.

if we add one, we get an 8-digit number.

Then this one is the greatest 7-digit number.

The successor of this number, is equal to the number plus one:

9,999,999 + 1 = 10,000,000

The smallest 8-digit number is the first 8-digit number, and we know that this one is:

10,000,000

And the predecessor is equal to this number minus one:

10,000,000 - 1 = 9,999,999

So we can conclude that:

The successor of the greatest 7-digit is the smallest 8-digit number

The predecessor of the smallest 8-digit number is the greatest 7-digit number.

And we could interpolate this for any N-digit number, such that:

The successor of the greatest N-digit is the smallest (N + 1)-digit number

The predecessor of the smallest (N + 1)-digit number is the greatest N-digit number.

Find the value of x and y so that the quadrilateral is a parallelogram.

(4x - 35° (y + 15)

(2y-5) (3x + 10)

X=

y =

Answers

Therefore, for x = 45 and y = 20, the quadrilateral is a parallelogram.

Define quadrilateral.

In geometry a quadrilateral is a four-sided polygon, having four edges and four corners.

What is a polygon?

A polygon is a closed polygonal chain made up of a limited number of straight-line segments and is a type of planar figure in geometry. A polygon is an area that is bordered by a bounding circuit, a bounding plane, or both.

We know opposite sides of a parallelogram are equal in length and parallel. Given opposite sides of a parallelogram are:

(4x - 35) and (3x + 10)

(y + 15) and (2y - 5)

Now, setting those opposite sides equal to each other:

4x - 35 = 3x + 10 = >x = 45

y + 15 = 2y - 5 => y = 20

Therefore, x = 45 and y = 20, the quadrilateral is a parallelogram.

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Tyler's fish tank has 14 fish in it. Ten of the fish are orange, and the rest are green.

What is the ratio of orange fish to green fish in the fish tank?


5:2

5:7

2:7

I don't know.

Answers

Answer:

Its 10:4 so its 5:2 when dividing

5:2 is the answer

The ratio of orange fish to green fish in the fish tank is given by 5 : 2

What is Proportion?

The proportion formula is used to depict if two ratios or fractions are equal. The proportion formula can be given as a: b::c : d = a/b = c/d where a and d are the extreme terms and b and c are the mean terms.

The proportional equation is given as y ∝ x

And , y = kx where k is the proportionality constant

It demonstrates the equality of the relationship between the expressions printed on the left and right sides.

Given data ,

Let the proportion equation be represented as A

Now , the value of A is

Let the total number of fishes in the fish tank be = 14 fishes

The number of orange fishes = 10 fishes

The number of green fishes = 5 fishes

Now , the ratio of orange fish to green fish in the fish tank is = number of orange fishes / number of green fishes

On simplifying , we get

The ratio of orange fish to green fish in the fish tank is = 10 / 4

The ratio of orange fish to green fish in the fish tank is = 5/2

Hence , the proportion is 5 : 2

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Jessica is wanting to buy a 10.00 box of candy. The sales tax is 5%. How much is the total for the candy?

$15.00
$12.00
$11.00
$10.50

Answers

Answer: To find the total cost of the candy including the sales tax, we first need to calculate the amount of tax by multiplying the cost of the candy by the tax rate.

The cost of the candy is 10.00.

The tax rate is 5%, which can be written as 0.05.

The total cost of the candy would be

10 + (10*0.05) = 10+0.5 = 10.50

So the correct answer is $10.50.

Step-by-step explanation:

Aida, Bernado and Cristiano need $30000 to start a business. a I They borrow & of this amount.
Show that they still need $18000.
They provide the $18000 themselves in the ratio
Aida: Bernado : Christiano = 5: 4: 3.
Calculate the amount each of them provides.
b i Office equipment costs 35% of the $30000.
Calculate the cost of the equipment. ii Office expenses cost another $6500.
Write this as a fraction of $30 000.
Give your answer in its lowest terms. iii How much remains of the $30000 now?
c They invest $12500.
After one year this has increased to $15500.
Calculate this percentage increase.

Answers

Answer:

aida:$7500

Bernardo:$6000

Christiano :$4500

b.i $10500

b.ii 13/60

b.iii $13000

c. 24%

Consider the rotation of figure WXYZ shown. Complete the statements about the transformation shown.

Answers

Answer:

Can you please show the picture

Step-by-step explanation:

is dilated from the origin to create segment A prime B prime at A' (0, 6) and B' (6, 9). What scale factor was segment AB dilated by

Answers

The scale factor of segment AB was 1.94.

What is scale factor?

Scale factor is a number by which a given set of measurements is multiplied in order to increase or decrease the size of the measurements. It can be used to enlarge or reduce the size of an object, image, or diagram. It is a useful tool in many areas of mathematics, including geometry, engineering, and computer graphics.

The scale factor for segment AB can be found by taking the ratio of the lengths of the two segments. To calculate this, use the distance formula to find the length of segment AB and A'B' and set them equal to each other.

The distance formula is: d = √[(x2-x1)^2 + (y2-y1)^2]

The coordinates of A and B are (0, 0) and (6, 9), respectively. The coordinates of A' and B' are (0, 6) and (6, 9), respectively.

For segment AB, the distance formula becomes: d = √[(6-0)^2 + (9-0)^2], which simplifies to d = √[36 + 81], which simplifies to d = √117.

For segment A'B', the distance formula becomes: d = √[(6-0)^2 + (9-6)^2], which simplifies to d = √[36 + 9], which simplifies to d = √45.

The scale factor is then found by taking the ratio of the two distances, √117/√45, which simplifies to √117/3, or approximately 1.94. Therefore, the scale factor of segment AB was 1.94.

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what is the following is a like radical to 3/6x^2?
NO FILES WILL BE REPORTED!!!

Answers

Answer:

I guess is this but Im not sure

2 Lauren is using 10 pink beads and 5 black a bracelet. Which beads to decorate ratio compares the number of black beads to the total number of beads She is using?​

Answers

When b does not equal 0, an ordered pair of numbers a and b, represented as a / b, is said to be a ratio.

What is ratio?

A comparison between two items by means of a number. (arithmetic) comparing two quantities' relative magnitudes (usually expressed as a quotient).

When the second number in the ordered pair, b, is not equal to 0, the ratio is expressed as a/b. An equation in which two ratios are made equal is known as a percentage. As an illustration, you could express the ratio as 1: 3 if there is 1 guy and 3 girls (for every one boy there are 3 girls) 40% are girls, and 14% are boys.

Comparing two numbers by dividing them is how ratios work. Your formula would be A/B if you were contrasting one data point (A) with another data point (B). By doing so, you are multiplying information A by information B. Your ratio will be 5/10, for instance, if A is 5 and B is 10.

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Use properties of operations to complete the equivalent expressions. 3(c−4)=​___c−​___ 3(c−4)

Answers

Using properties of operations, the expression is 3(c-4)= 3c-12.

What are the properties of operations?

Properties of additionAddition of whole numbers is both associative and commutative.The identity for adding whole numbers is 0, or zero.Properties of MultiplicationThe identity for multiplying whole numbers is 1.Multiplication of whole numbers is both associative and commutative.Distribution favours multiplication over addition.Properties of Division and subtractionDivision is not associative.Subtraction is not commutative.

Now, we are given the expression 3(c-4)

Using the properties of operation,

3(c-4)= (3*c)-(3*4)

= 3c-12

Hence, the equivalent expressions are 3(c-4)=3c-12.

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Question- Use properties of operations to complete the equivalent expressions. 3(c−4)=​___c−​___

Which set of side lengths forms a right triangle?

Answers

Answer:

11-60-61

Step-by-step explanation:

For right triangle, leg^2+Another leg^2=hypotenuse^2

11^2+60^2=61^2

Answer:

11 inches, 60 inches, 61 inches

Step-by-step explanation:

This is a right triangle, so the Pythagorean Theorem applies.

The Pythagorean Theorem states that the legs of the triangle, 'a' and 'b'—squared—must equal the hypotenuse, squared.

**Hypotenuse: the longest side of a triangle.**

[tex]a^{2} + b^{2} = c^2[/tex]

This sounds a bit complicated, so allow me to explain this to you.

11 and 60: legs of the triangle.

61: hypotenuse

If I were to plug in the numbers into the formula, it would look like this:

[tex]11^2 + 60^2 = 61^2[/tex]

This is the same as:

[tex]11 * 11 + 60 * 60 = 61 * 61[/tex]

[tex]121 + 3600 = 3721[/tex]

If the legs of the triangle, 121 and 3600, have a sum of the hypotenuse, 3721, then these side lengths can form a right triangle.

The other answer choices, however, do not follow the Pythagorean Theorem.


Someone please please help me with both

No links or files

Answers

Answer:

the first one is b and the second one is 17 I think

to solve you do the mixed number (4) times the denominator (5) plus the numerator (3)

Given: AAED ≈ ABEC and
AC BD.
Prove: AABD≈ ABAC.
Note: quadrilateral properties are not permitted in this
proof.
Step
1
try
Statement
D
AAED ~ ABEC
AC BD
Type of Statement
E
с
Note: AC and DB are segments.
B

Answers

Side-Angle-Side (SAS) (SAS), The triangles are congruent if the included angles are also congruent and two sides of one triangle match two sides of another triangle.

How may the ABC def be demonstrated?

Side-Angle-Side (SAS) (SAS), The triangles are congruent if the included angles are also congruent and two sides of one triangle match two sides of another triangle.

The use of labels Triangle ABC is congruent to triangle DEF if the angles of triangles ABC and DEF are AB = DE, AC = DF, and A = D.

ABC=CDE: a) in accordance with the conditions BC=CD and AC=CE; b) BCA=m (DCE).

If ABC = CDE, then m(BAC) = m(DEC), and m(ABC) = m (CDE).

If m(BAC)=m(DEC), then AB || DE, or if m(ABC)=m(CDE), then AB || DE.

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A financial advisor has recommended two possible mutual funds for investment: Fund A and Fund B. The return that will be achieved by each of these depends on whether the economy is good, fair, or poor. A payoff table has been constructed to illustrate this situation:

STATE OF NATURE

INVESTMENT GOOD ECONOMY FAIR ECONOMY POOR ECONOMY

Fund A $10,000 $2,000 –$5,000

Fund B $6,000 $4,000 0

Probability 0. 2 0. 3 0. 5

Draw the decision tree to represent this situation.


Perform the necessary calculations to determine which of the two mutual funds is better. Which one should you choose to maximize the expected value?


Suppose there is a question about the return of Fund A in a good economy. It could be higher or lower than $10,000. What value for this would cause a person to be indifferent between Fund A and Fund B (i. E. , the EMVs would be the same)?

Answers

$21,500  this would be cause a person to be indifferent between Fund A and Fund B (i. E. , the EMVs would be the same)

EMV 1 = 0.2*10,000 + 0.3*2,000 + 0.5*-5,000 = $100EMV 2 = 0.2*6,000 + 0.3*4,000 + 0.5*-0 = $2,400.

Comparing both funds based on EMV calculations, Fund B shows a higher EMV. Therefore, to maximize expected value, we should invest in Fund B with an expected value of $2,400. First, his EMV for Fund A is not the same as Fund A's return being higher or lower in good economic conditions. Therefore, the EMC can also be higher or lower. But obviously the economy changes quickly sometimes. You don't always get the same return. So relying solely on returns is risky. Relying heavily on favorable economic conditions makes Fund A vulnerable to change and increases investor risk, so investors need to be more diversified. We can do the calculation:

Fund A return in good economy = Difference between A and B: EMV (Fund A) = EMV (Fund B) 0.2*X + 0.3(2,000) + 0.5(- 5,000) = 2 4,000.2X = 4,300X = $21,500.

Therefore, if the economy is good, Fund A's return should be $21,500 for there to be indifference between Fund A and the fund B.

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Simplify the expression.
[tex](1+\frac{x}{y} )(\frac{4y^{2} }{x^{2} -y^{2} } )[/tex]

Answers

Answer:

4y / x-y

Step-by-step explanation:

First change 1 to y/y. This allows us to rewrite the first term as a single fraction.

We can also factor the denominator of the second term.

x^2 - y^2 factors into (x - y)(x + y)

The y cancels and also the term x+y cancels. See image.

Here is the answer!!

What’s 36/6 as a whole number?

Answers

Answer:

It should be 6 because 6x6 is 36

Answer:

6

Step-by-step explanation:

fractions are division so just divide 36 by 6 and you will get 6 which is your answer

36/6 =

36 : 6 =

6

i will give brainliest!!

find the radius of a circle if the area is 15 cm squared

Answers

Answer:

2.19

Step-by-step explanation:

PLEASE HELP ME, ILL BRAINLIEST YOU

Answers

X always equals 90 in a rhombus and y is 47

Please help quickly thanks

Answers

Answer:

69000

Step-by-step explanation:

math

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