a cylindrical tank has a diameter of 24 dm And a height of 30, dm.how many litters of a water can it hold when full (1 dm³ = 1 L)​

Answers

Answer 1
You must find the area of the circle first, meaning you need to find the Radius. The radius is half of the diameter so:

R = 12

To find the area of a circle you must do (R)^2 x Pi (3.14)

Meaning you must do:

12 x 12 = 144 = (R)^2

144 x (3.14) Pi = 452.16

Next we need to find the volume of the tank, by using the area of the circle we can now use the formula Area ((R)^2 xPi (3.14)) x height

We know the height equals 30dm so:

452.16 x 30 = 13,564.8

As it is 1dm^3 to 1L we don’t need to divide anything to equal them as they are the same meaning the answer is

13,564.8 Litres

Related Questions

Find the center and radius of the circle represented by the equation below.
(x − 13)² + (y + 11)² = 361
-
Center:
Radius:

Answers

Answer: Center: (13, -11)

              Radius: 19

Step-by-step explanation: yeah

im in nearpod
answer show wrk

Answers

Answer:15 boxes with 4 left over have a great day :)

Step-by-step explanation:

1. Total Value of the Burgers
2. Cost of Fries per order
3. Quantity of the sodas ordered
4. Total Value of the Salad
5. Cost of Salad per order

Formula:
1._______________________________
2._______________________________
3._______________________________
4._______________________________
5._______________________________

Answer:
1._______________________________
2._______________________________
3._______________________________
4._______________________________
5._______________________________​

Answers

Step-by-step explanation:

1) 35×23 = 805

2) 800/40=20

3)170/10=17

4) 2000-805-800-170=225

5)225/15=15

Hence answers

1)805

2)20

3)17

4)225

5)15

The value of the expression
[tex] \frac{a - c}{2} - 2b[/tex]
if a=-5, b=3, c=-1
is equal to?​

Answers

Answer 8
First you substitute the numbers into the equation
-5+1/2 -2x3
Then you type it into your calculator or solve using bodmas

PLEASE HELP 50 POINTS + BRAILYEST!!!
(no links please)
The triangle is the picture down below.

Bonnie has a really yummy sandwich that is shaped like a right triangle. There is a 3 in. line, a 5 in. line, and there’s another line that is unknown. How would solve this problem by using the Pythagorean theorem to find the missing length of one of the lines? Be sure to show all of your work.

Answers

Answer:

4 in

Step-by-step explanation:

Let the missing length is x.

According to Pythagorean, we have the following equation

[tex]x^2+3^2=5^2[/tex][tex]x^2+9=25[/tex][tex]x^2=25-9[/tex][tex]x^2=16[/tex][tex]x=\sqrt{16}[/tex][tex]x=4[/tex]

Answer:

Missing length = 4 in

Step-by-step explanation:

Pythagoras' Theorem: a² + b² = c²

(where a and b are the legs, and c is the hypotenuse, of a right triangle)

Given:

a = 3 inb = ?c = 5 in

Substitute given values into the formula and solve for ?:

⇒ 3² + ?² = 5²

⇒ 9 + ?² = 25

⇒ ?² = 25 - 9

⇒ ?² = 16

⇒ ? = √16

⇒ ? = 4 in

How much will Audrey earn if she earns $13.00 for each hour worked , works 43 hours, and has payroll deductions of $167.70?​

Answers

Answer:

391.3

Step-by-step explanation:

13x43=559

559-167.70=391.3

- You work in the human resources department of a
company. Per the employee benefits package, each
employee earns 1 and 1/2 vacation days per month. You
need to calculate the total number of vacation days
that an employee earns in a year. How many total
vacation days will an employee earn in a year?

Answers

Answer:

18 Days Off

Step-by-step explanation:

Firstly, to solve this question you have to identify how many months are in a year; that's 12. So now we know:

Each employee can take 1 1/2 days off in a monthThere are 12 months in a year

Making a formula for calculation is the best way to do this, especially since we now have all of the information needed to answer.


VacationDays=1 [tex]\frac{1}{2}[/tex] × 12

Vacation days are the total number of vacation days in a year.

∴VD= 1 [tex]\frac{1}{2}[/tex] x 12

VD= 18

∴Total vacation days equal 18

Each employee gets 18 vacation days in a year.

Bryan is trying to catch up with his friends during a road trip they are 100 miles ahead of him and driving 50 mph Bryan is driving 75 mph to try and catch up

Answers

Answer:
4 hours

Explanation:
Bryan and his friends are both driving, so first you need to calculate the difference between the speed of him and his friends. They are 100 miles apart, and Bryan drives 25mph faster than his friends. Therefore, 100 (miles they are apart) / 25 (mph Bryan is faster than his friends) = 4 hours.

Equation 1
y = 5x + 32
Equation 2
4y = 28x + 184
First solve for X.

Answers

Equation 1: x= 1/5y + -32/5
Equation 2: x= 1/7y + -47/7

Please help me with the question below thanks.
p.s who every gives the right answer will be the brainliest :)

Answers

Answer:

200.96 inches squared

Step-by-step explanation:

lookie here! pretend the circle is a cookie. ok i love cookies. NOW IM MOTIVATED. lookie here, its just the way the cookie tear.

alright so your teacher told you that the area of a circle is 3.14 times the radius squared.

the radius here is 8 inches. 8 squared is eight times eight. that is 64.

cool. now 64 times 3.14 is:

200.96

amazing

(prepare to get hurt and mangled, like kurt angle, rookie year!)

i hope you have a swag day

PLS HELP ASAP the area of the circle is 64pi square cm what is the radius of the circle in cm

8 cm
9cm
6cm
16cm

Answers

Answer:

8cm

Step-by-step explanation:

[tex]Here,\\\\Area(A)=64\pi cm^{2} \\Radius(r)=?\\\\As\:we\:have,\\\\\hookrightarrow Area=\pi r^{2} \\\\\hookrightarrow \frac{64\pi cm^{2} }{\pi } =r^{2} \\\hookrightarrow 64 cm^{2} =r^{2} \\\\\hookrightarrow \sqrt{64cm^{2} } =r\\\\\hookrightarrow 8cm=r\\\\\hookrightarrow r=8cm[/tex]

Answer:

[tex]\huge\boxed{\bf{radius_{circle} = 8cm}}[/tex]

Step-by-step explanation:

Given:-

[tex]\tt Area_{circle} = 64\pi cm^2 [/tex]

To find:-

[tex]\tt radius_{circle} = ?[/tex]

Ans:-

[tex]\sf \to Area_{circle} = \pi*r^2 [/tex]

[tex]\sf \to 64\cancel{\pi} cm^2 = \cancel{\pi}*r^2 [/tex]

[tex]\sf \to 64cm^2 = r^2 [/tex]

[tex]\sf \to r = \sqrt{64cm^2} [/tex]

[tex]\sf \to r = 8cm [/tex]

therefore [tex]\tt radius_{circle} [/tex] = 8cm

[tex]\: [/tex]

[tex]\huge\colorbox{skyblue}{BlackPain}[/tex]

Find three rational numbers between - 2 and - 3

And please write in step by step explination. ​

Answers

Step-by-step explanation:

follow these steps with tbe no. of -2 and - 3 you will come with answer

Answer:

- 21/10, -5/2 and -11/4.

Step-by-step explanation:

Rational numbers can be written as a/b where a and b are integers ( b not zero).

So three naumbers between - 2 and -3 are

-2.1, -2.5 and -2.75  which can be written as:

- 21/10, -5/2 and -11/4.

halp please. MY c-ptsd is acting up and i cant be a emo baddie rn

Answers

Answer:

24 square units

Step-by-step explanation:


For a football game. Adult tickets are 8 dollars and student tickets are 5 dollars. The school sells 2570 tickets and makes a total of $19,060.

how many adult ticket were sold

how many student tickets were sold

Answers

You don’t know how many adults were there and how many students were there.

But,

$8(adults) + $5(students) = $19060

And,

Adults + Students = 2570

Let A = adults and S = students

8A + 5S = 19060

A + S = 2570

This is called a system of equations. To solve, you need to rearrange both equations to solve for one of the variables, you can pick any. This makes them cancel out so you can focus on 1 variable. After solving, you can plug the solved variable back into any of the given equations and solve for the second one.

S = 19060/5 - 8A/5

S = 3812 - (8A/5)

This is the first equation rearranged to solve for S

Second:

A + S = 2570

S = 2570 - A

Now, equal each other

3812 - (8A/5) = 2570 - A

Solve for A

3812 + A = 2570 + 8A/5

19060 + 5A = 12850 + 8A

19060 - 12850 = 3A

6210 = 3A

2070 = A

There were 2070 adults

Now, plug A back into any of the 2 equations and solve for S

A + S = 2570

2070 + S = 2570

S = 2570 - 2070

S = 500

2070 adult tickets were sold
500 student tickets were sold

please find the area

Answers

the answer is 70.2 ft because u add them all together

Answer:

the area is 243

see the photo

factor each completely

m^2 + m - 90

Answers

Answer:

(m - 9) (m + 10)

Step-by-step explanation:

m² - 9m + 10m - 90

(m² - 9m) + (10m - 90)

m(m - 9) + 10 (m - 9)

Final answer;

(m - 9) (m + 10)

What are the zeros of the function f(x) = x2 + 7x – 18? Enter your answers in the boxes with your greatest answer first. The zeros of f(x) ar AN A/​

Answers

Answer:

The answer is 2 and (-9)

Step-by-step explanation:

x² + 7x – 18 = 0

x² + 9x – 2x – 18 = 0

x(x + 9) – 2(x + 9) = 0

(x – 2) (x + 9) = 0

x = (2, -9)

Thus, The zeroes of the polynomial is 2 and (-9).

How many angles are formed by intersecting roads? Number the angles

Answers

Answer:

When two lines intersect and form 4 angles at the intersection, the two angles that are opposite each other are called “opposite angles” or “vertical angles” and these vertical angles are “congruent” – meaning they have the same shape and size.

Step-by-step explanation:

pls simplify this will give brainly and a lot of points!!!!! 5:00min

Answers

Answer:

More details please ._.

Step-by-step explanation:

[tex] \frac{{b}^{4} }{ {a}^{2} {c}^{2} } [/tex]

explanation:

There's 4 as in the denominator which cancels out the 2 in the numerator. Thus leaving you with 2 as in the denominator. Then there's only 1 b I the denominator which is canceled out by the ones in the numerator, leaving you with only 4 b's in the numerator. Finally there is only 1 c in the numerator which is canceled out by the ones in the denominator. Thus leaving you with 2 c's in the denominator.

A paperweight in the shape of a rectangular prism is shown: A right rectangular prism is shown with length 10 cm, width 4 cm, and height 4 cm. If a cross section of the paperweight is cut parallel to the base, which shape describes the cross section? Rectangle Triangle Parallelogram Hexagon

Answers

Answer:

triangle

Step-by-step explanation:

draw a square and cut it from the top right corner to the bottom left corner it makes a triangle

When solving this equation for x, what would you do next?

Answers

Answer: A. Distribute the 3 outside of the parathesis to everything inside the parenthesis

We use the order of operations, also known as PEMDAS.

Since there is a variable inside the parenthesis, we cannot add/subtract 4. This means the next step is to distribute.

After distributing, the equation looks like this and we can solve it from there:

4x + 12 = 30

Abraham is three times as old as Sylvia.
In eight years' time, Abraham will be
twice as old as Sylvia. How old is
Abraham?

Answers

Answer:

24 years old

Step-by-step explanation:

let x = age of abraham, y = age of sylvia

x = 3y

x + 8 = 2y+16 => (2(y+8))

3y + 8 = 2y + 16

y = 8

x = 3(8)

x = 24

please show work 2. Which equation represents the line whose slope is 6 and whose y-intercept is 2?


A. y = 2x + 6

B. 2y + 6x = 0

C. y = 6x + 2

D. y + 2x = 6

Answers

hello!

We are given the line's slope and the line's y-intercept (the point where the line touches the y-axis)

It's easier to write the equation in Slope-Intercept Form, which looks like so:-

[tex]\boxed{y=mx+b}[/tex]

where m -> slope of the line & b -> y-intercept

Instead of m, you should plug in 6:-

y=6x+b

Instead of b, you should plug in 2:-

y=6x+2 ✓

note:-

Hope everything is clear; if you need any explanation/clarification, kindly let me know, and I will comment and/or edit my answer :)

Three faces of a cube are randomly selected. What is the probability that they have
a common vertex? Express your answer as a common fraction

Answers

The probability that they have a common vertex is 20%.

Probability

Since three faces of a cube are randomly selected, to determine what is the probability that they have a common vertex, the following calculation must be performed:

1x2/5x2/4 = X1x0.4x0.5 = X0.2 = X

Therefore, the probability that they have a common vertex is 20%.

Learn more about probability in https://brainly.com/question/12540915

Solve 64x2 - 121 = 0 using square roots.

Answers

Using the square root property to solve this 64x² - 121 = 0, the value of x is - 11 / 8 and 11 / 8.

How to solve quadratic equation using square root property?

64x² - 121 = 0

add 121 to both sides of the equation

64x² - 121 + 121 = 0 + 121

64x²  = 121

divide each term by 64 and simplify

64x² / 64  = 121 / 64

x² = 121 / 64

Take the square root of both sides of the equation to eliminate the exponent on the left side

√x² = ±√ 121 / 64

Simplify the right side of the equation.

x = ± 11 / 8

Therefore,

x = 11 / 8, - 11 / 8

learn more on square root property here: https://brainly.com/question/3506989

Find the area of each regular polygon below. Round values to the nearest 0.01. Show work for all steps clearly.

Answers

The area of the hexagon and pentagon area 779.4cm^2 and 84.303cm^2 respectively.

Data;

apothem = 15

Area of a Hexagon

The area of a hexagon with apothem 15 can be calculated by first finding the length of the side of the hexagon.

Length of hexagon can be found using trigonometric ratio;

[tex]a = x\sqrt{3}[/tex]

Making x the subject of formula

[tex]x = \frac{a}{\sqrt{3} }\\x = \frac{15}{\sqrt{3} }\\x = 8.660[/tex]

And then the length of the side is 2x

[tex]s = 2 * 8660 = 17.32[/tex]

The perimeter of the hexagon is;

[tex]p = 6s \\p = 6 * 17.32=103.92[/tex]

And the area is given as

[tex]A = \frac{1}{2} * perimeter * apothem\\A = \frac{1}{2} * 103.92 * 15\\A = 779.4unit^2[/tex]

The area of the hexagon is 779.4 squared unit.

Area of the pentagon

The area of the pentagon can be found using several methods, but we can simply find the angle between the sides if we divide the pentagon into 10 pieces and then substitute the formula.

Total area of a pentagon is 360 degree.

[tex]\theta = \frac{360}{10} = 36^0\\[/tex]

The area of a pentagon is given as

[tex]A = \frac{5s^2}{4 tan \theta} \\A = \frac{5 * 7^2}{4* tan36} \\A = 84.303cm^2[/tex]

The area of the pentagon is 84.303cm^2

From the calculations above, the area of the hexagon and pentagon area 779.4cm^2 and 84.303cm^2 respectively

Learn more on area of polygons here;

https://brainly.com/question/1592439

Scoopers ice cream shop sells one scoop of ice cream for $1.60. They sell three scoops for $4.80. How much money is needed to buy two scoops of ice cream?​

Answers

Answer:

$3.20

Step-by-step explanation:

1.60 x 2 = $3.20

You need $3.20 to buy 2 scoops of ice cream.

Answer:

Step-by-step explanation:

Since the cost of one ice cream scoop is $1.60, you would either have to add $1.60 two times, or multiply 1.60x2.


$1.60+$1.60 or 1.60x2=$3.20.

Therefore, the answer to the question would be “$3.20 would be needed to buy two scoops of ice cream.”

which function has the same y-intercept as the one below

Answers

Check the picture below, so let's check the equations below hmmm

[tex]\boxed{A}\\\\ y=\cfrac{16-3x}{4}\implies y=\cfrac{-3x+16}{4}\implies y = \cfrac{-3x}{4}+\cfrac{16}{4}\implies y=-\cfrac{3}{4}x\stackrel{\stackrel{b}{\downarrow }}{+4}~\hfill \bigotimes \\\\[-0.35em] ~\dotfill[/tex]

[tex]\boxed{D}\\\\ y+4=2x\implies y=2x\underset{\stackrel{\uparrow }{b}}{-4}\qquad \textit{\Large \checkmark}\qquad \impliedby \qquad \begin{array}{|c|ll} \cline{1-1} slope-intercept~form\\ \cline{1-1} \\ y=\underset{y-intercept}{\stackrel{slope\qquad }{\stackrel{\downarrow }{m}x+\underset{\uparrow }{b}}} \\\\ \cline{1-1} \end{array}[/tex]

What makes this undefined.

Answers

Answer:

The expression is undefined when x=3 or -3

Solution:An expression is undefined when it's divided by 0.In order to make the denominator equal 0, we need to subtract 9-9. Notice that x is squared.So x times itself should equal 9. What number is it?That's right, 3.So we have9-(3)^2=9-9=0There's also another solution: x=-3 (-3•(-3)=9

Hope it helps.

Do comment if you have any query.

Answer: The expression is undefined when x is 3 or -3

Step-by-step explanation:

The denominator of a fraction can never be 0 because you cannot divide by 0. So all we have to do is determine the value of x when the denominator is equal to 0.

[tex]9-x^{2} =0\\[/tex]

We want [tex]x^2[/tex] to be positive so divide everything by -1

[tex]9-x^{2} =0\\\\\frac{9-x^{2}}{-1}=\frac{0}{-1} \\-9+x^2=0\\x^2-9=0[/tex]

Use difference of two squares (DOTS) to factor

[tex]x^2+9=0\\(x+3)(x-3)=0[/tex]

So x cannot be 3 or -3

Select the reason that best
supports Statement 6 in the
given proof.
A. Transitive Property
B. Subtraction Property of Equality
C. Substitution
D. Division Property of Equality
AB=18

Answers

Answer: Subtraction property of equality

Step-by-step explanation:

They subtracted 6 from both sides to get AB=18.

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