A town is storing salt for the winter in a cylindrical building. The building has a radius of 5 ft and is 30 ft tall. The building contains 1,500 ft3 of salt. What is the approximate height that the salt reaches in the building?
The answer are:
A. 0.5 ft
B. 5 ft
C. 19 ft
D. 22 ft

Answers

Answer 1

Answer:

To start off, we know the problem involves something with volume as it is 3D and has a cubic in it.

We know r = 5, h = 30, and v = 1500

The volume for a cylinder in 3d is : V=[tex]\pi[/tex][tex]r^{2}[/tex]h

We're solving for the height when the cylinder has a volume of 1500, therefor, we will solve for height.

Using our volume equation we plug in all values except h because we're solving for it.

1500=[tex]\pi r^{2} h[/tex]

1500=[tex]\pi 5^{2} h[/tex]

1500=25[tex]\pi[/tex](h)

1500/25[tex]\pi[/tex] = h

60/[tex]\pi[/tex] = h

60/[tex]\pi[/tex] = 19.0985

H is 19ft. (C)


Related Questions

(Geometry)
Find the value of X
Show work

Answers

Answer:
Value of X is ——
1) x = 7

Michael sketches several designs for a math club pin. The math club voted for the pin shape to be a right triangle. Which of the following dimensions could NOT be used for the math club pin?

Answers

Answer:

The answer is c

Step-by-step explanation:im doing math exam and got it right simple ;)

Climbing at an indoor rock-climbing gym costs $12 per hour. Lizbeth has a $50 gift card to spend at the gym. Write an algebraic expression for the dollar amount Lizbeth will have left on the card after she spends h hours climbing. No need to solve!

Answers

Answer:

50-12h=4 hours max and Liz will be left with 2 dollars

Step-by-step explanation:Nice

Answer:

12 - 50 = h

Step-by-step explanation:

Or 12 + h = 50


I’ll mark u as brainlist plss

Answers

Answer:

I think C.

Step-by-step explanation:

can someone PLEASE help

Answers

Answer:

34

Step-by-step explanation:

Answer:

x is 8

Step-by-step explanation:

what does “pi” equal?

Answers

Answer:

here!

Step-by-step explanation:

"In decimal form, the value of pi is approximately 3.14."

hope this helps! :)

Answer:

pi equal 3.141492654 ................. and more but that is the standard answer

Step-by-step explanation:

Suppose x = 9 is a solution to the equation f(x) = g(x). If a table of values for the equation y = f(x) contains an x-value of 9 and a corresponding y-value of 18, then which of these statements is correct about a table of values for the equation y = g(x)?


A
If it contains an x-value of 9, the corresponding y-value must be 9.

B
If it contains an x-value of 9, the corresponding y-value must be 18.

C
If it contains a y-value of 18, the corresponding x-value must be 9.

D
If it contains a y-value of 18, the corresponding x-value must be 18.

Answers

Answer:

I think it may be A

Step-by-step explanation:

simply (5^1/3)

A. 5^3
B. 1/5
C. 5
D. 5^9

Answers

Answer:

A

Step-by-step explanation:

help answer correctly and i will give you brainliest

Answers

2/3. count the distance along the x and y axis from the y-intercept (0,0).

Answer:

The slope is 2/3

Step-by-step explanation:

(3,2);(−3,−2)

(x1,y1)=(3,2)

(x2,y2)=(−3,−2)

Use the slope formula:

m= y2−y1 /x2−x1

-2−2 /−3−3  

−4 /−6

2 /3

Which expressions are equivalent to 1/36? check all that apply a) 3^-6 b)6^-2 c) 6^3/6^5 d)6^2/ 6^-1 e) 6×6^-2 f) 6^-9×6^7​

Answers

Answer:

B)6^-2

Because

6^-2

1/6²

1/36

Step-by-step explanation:

Answer:

b , c , f

Step-by-step explanation:

1/36 = 0.028

a) 3^-6 = 0.0014

b)6^-2 = 0.028

c) 6^3/6^5 = 0.028

d)6^2/ 6^-1 = 216

e) 6×6^-2 = 0.1667

f) 6^-9×6^7​ = 0.028

Find the average rate of change of the function f(x)=(3/-3x-5), on the interval x ∈ [0,3]

Answers

Answer:

The average rate of change on the given interval is 9/70

Step-by-step explanation:

Here, we are to find the average rate of change of the function on the given interval

We proceed as follows;

on an interval [a,b] , we can find the average rate of change using the formula;

f(b) - f(a)/b-a

From the question;

a = 0

b = 3

f(0) = -3/5

f(3) = -3/14

Substituting the values, we have;

-3/14-(-3/5)/3-0

= 3/5-3/14/3

= (42-15)/70/3

= 27/70/3

= 27/70 * 1/3 = 9/70

slope intercept form
through: (2, 4) and (1, -3)​

Answers

Answer: I attached a graph below, hope it helps.

Step-by-step explanation:

A line can be written in the form y = mx + b where m is the slope and b is the y intercept.

Since the slope is given as 4, the equation will be y = 4x + b

Plugging in the point (2,1) to the equation we get 1 = 4(2) + b or 1 = b + 8

Solving for b gives b = -7 so the equation will be y = 4x - 7

SOMEONE HELP ASAP!!!!!​

Answers

Answer:

A. y=[tex]\frac{3}{2}[/tex]x-3

B.y=[tex]\frac{-3}{4}[/tex]x-3

Step-by-step explanation:

Okay so essentially, the first thing you need to do is find the slope and y intercept for each equation. To find the slope, I like to look at the two points and divide the rise (How much it goes up or down) by the run (How much it moves left or right). For A the rise is 6 and the run is 4, so the slope is 6/4 or 3/2. To find the equation for A, you also need the y-intercept which is just the y value (how high up or down) it is when it crosses the y axis. In graph a, this is at -3. Because the equation of a line is y=mx+b (m being slope and b being y intercept), we know the equation for a is y=[tex]\frac{3}{2}[/tex]x-3. We can do the same thing for B. The rise is -3 and the run is 4, so the slope is -3/4. The y value when x is equal to zero is 2, so that is the y intercept. The equation is y=[tex]\frac{-3}{4}[/tex]x-3

Please help and thank you im failing at school so decided to download this app​

Answers

Answer:

you could scan and take a picture in the app when u login

Simplify the Polynomial and please show your work so I can do more on my own.
(btw ! will stand for rise to the power)
5xyx!3 + 7yxx!3 - 5x!2x!3 - 5x!2zx. + 3zx!3

Answers

Answer:

no

Step-by-step explanation:

Is (-8,7), (0,1), (2,-6), (2,3), (7,9) a function?
What’s the domain and range?

Answers

No it is not a function because the 2 repeats and for it to be a function none of the x values can repeat.

The domains are -8, 0, 2, 2, 7 (when it asks for domain it is asking for the x values)

The ranges are 7, 1, -6, 3, 9 (when it asks for range it is asking for the y values)

What is f(-4) if f(x)=-2-8?

Answers

the answer is -2.5 you just have to do the math

Find the coordinates of midpoint of the line segment p(-5,-1) Q(6,-2)

Answers

Answer:

The coordinates of the midpoint of the line segment p(-5,-1) Q(6,-2) would be: (1/2, -3/2)

Step-by-step explanation:

Given

P(-5, -1)Q(6, -2)

[tex]\mathrm{Midpoint\:of\:}\left(x_1,\:y_1\right),\:\left(x_2,\:y_2\right):\quad \left(\frac{x_2+x_1}{2},\:\:\frac{y_2+y_1}{2}\right)[/tex]

[tex]\left(x_1,\:y_1\right)=\left(-5,\:-1\right),\:\left(x_2,\:y_2\right)=\left(6,\:-2\right)[/tex]

[tex]=\left(\frac{6-5}{2},\:\frac{-2-1}{2}\right)[/tex]

[tex]=\left(\frac{1}{2},\:-\frac{3}{2}\right)[/tex]

Thus, the coordinates of the midpoint of the line segment p(-5,-1) Q(6,-2) would be: (1/2, -3/2)

The school that Stefan goes to is selling tickets to a choral performance. On the first day of ticket sales the school sold 3 senior citizen tickets and 1 child ticket for a total of $38. The school took in $52 on the second day by selling 3 senior citizen tickets and 2 child tickets.



Part A: Write a system of equations to represent the given scenario. Use the variables "s" for senior citizen tickets and "c" for child.



Part B: Solve the system of equations from Part A algebraically. Show your work.



Part C: Explain what the solution to the system of equations represents in context of the problem. Hint: You will need to put words here, not an equation.

Answers

Answer:

The school took in $52 on there second day by selling 3 senior citizen tickets and 2 child tickets. Find the price of a senior citizen

Step-by-step explanation:

Triangle A B C. Side A C is 10 and side A B is 5. Angle C is 30 degrees. Triangle D E F. Side E D is 7.5 and side D F is 25. Angle F is 30 degrees and angle E is 90 degrees. Which similarity statements describe the relationship between the two triangles? Check all that apply. Triangle C B A is similar to triangle F E D Triangle C B A is similar to triangle F D E Triangle B A C is similar to triangle E F D Triangle B A C is similar to triangle E D F Triangle A B C is similar to triangle D E F Triangle A B C is similar to triangle D F E

Answers

Answer:

Triangle B A C is similar to triangle E D F

Step-by-step explanation:

That's by SAS Theorem.

Hope you got it this may helps u ???

Izinho do Shanghai Financial Center, o Jin Mao Tower é um imponente arranha-céu inaugurado em 1999. Com 88 andares (referência ao número oito, símbolo de sorte e prosperidade na cultura chinesa) e uma altura de 420 m, a torre tem um shopping, discotecas, bares, cafés, restaurantes, escritórios e o hotel Grand Hyatt. Suponha que uma réplica do Jin Mao Tower seja construída na razão de 1:80 e colocada em exposição no chão de um salão de 9 m de altura. A distância entre o topo dessa réplica e o teto desse salão será de

Answers

Answer:

[tex]3.75\ \text{m}[/tex]

Step-by-step explanation:

A escala da réplica é  [tex]1:80[/tex]. Isso significa que 1 metro da réplica da escala representa 80 metros do edifício real.

Portanto, 1 metro do edifício real representa [tex]\dfrac{1}{80}[/tex] metros da réplica.

Precisamos encontrar a altura da réplica

[tex]420\ \text{m}=420\times\dfrac{1}{80}=5.25\ \text{m}[/tex]

Assim, a réplica da escala terá uma altura 5.25 m.

Está colocado numa sala com 9 m de altura.

A distância entre o topo da réplica e o teto do corredor é [tex]9-5.25=3.75\ \text{m}[/tex].

Which of the following statements about the graph of y=3/4x-1

Answers

I believe it’s B and C

Answer:

Its C and B

Step-by-step explanation:

Can someone explain to me an easy way to divide fractions? I can't seem to understand it.

Answers

Answer:

Flip the second fraction and multiply across

ex: 5/4 divided by 3/6

5/4 * 6/3

5*6 / 4*3 = 30/12

5/4 divided by 3/6 = 30/12

Step-by-step explanation:

Helpppp Number 9 pleaseeeee

Answers

17.6 bc if u multiply 55 and 8 u get 440 then divide that by 25, is 17.6 hope this helped?

help again! algebra 1

Answers

Answer: maybe c?

Step-by-step explanation:

from eqn. 1

3x + 2y = 23

2y = 23 - 3x

y = 23/2 - 3/2x

sub into eqn. 2

1/2x - 4 = 23/2 - 3/2x

1/2x + 3/2x = 23/2 + 4/1

2x = 23/2 + 8/2

2x = 31/2

x = 31/4

sub into eqn. 1

31/4 + 2y = 23

2y = 23 - 31/4

2y = 92/4 - 31/4

2y = 61/4

y = 61/8 or 7 5/8  

ummm i got something wrong but try c?

Answer:

C . 31/4,-1/8

Step-by-step explanation:

1. sub the given value of y

into 3x + 2 (1/2x -4) 23

2. slove for x = 31/4

3.sub the given value of x into 1/2x - 4 =y

4. solve the equation for y

5. y = -1/8

6. ordered pair to (x,y) = 31/4,1,8

Tina solved an equation incorrectly, as shown below:

Step 1: 8x = 24
Step 2: x = 24 − 8
Step 3: x = 16

Which statement best explains why Step 2 is incorrect in Tina's solution?

Answers

Answer:

Step 2 should be division, not subtraction.

General Formulas and Concepts:

Pre-Algebra

Order of Operations: BPEMDAS

Brackets Parenthesis Exponents Multiplication Division Addition Subtraction Left to Right

Equality Properties

Step-by-step explanation:

Step 1: Define

8x = 24

Step 2: Solve for x

Divide both sides by 8:                    x = 3

We see that 8x is actually 8 times x. Therefore, we would need to use the Division Property of Equality to isolate x and get our answer.

5) James wants to visit his sister Sarah. He
knows C Street is a shorter distance than taking
A Street and B Street. How many miles is C
Street? (GE: 2nd)

Answers

What’s up bruv you should give me brainliest

pls help!!

A line is parallel to y = -3x + 2 and intersects the point (4,3). What is the equation of this parallel line?
y = [?]x + [ ]

Answers

Step-by-step explanation:

Parallel lines have the same slope so they can therefore never touch. Just change the y-int. (Any number as long as it's not the same as the previous)

I.E.:

y = -3x - 12

Three different coins are tossed. What is P(tail, head or tail, head, or tail)

Answers

Answers:

Probability of landing all three coins on head: [tex]\frac{1}{8}[/tex]

Probability of landing all three coins on tail: [tex]\frac{1}{8}[/tex]

Probability of landing two coins on head and one on tail: [tex]\frac{3}{8}[/tex]

Probability of landing two coins on tails and one on head: [tex]\frac{3}{8}[/tex]

Step-by-step explanation (Read Carefully):

-How to calculate this is that there are three possible outcomes when tossing the three coins. So, if you group all the possible outcomes of heads and tails when tossing the three coins in one event, you’ll get eight events. Let’s take a look at it:

-A way to organize this is to have:

H = heads

T = tails

-Total of eight events, where each event is the probability of the three coins being tossed (possible events with equal probability, and order matters):

HHH

HHT

HTH

HTT

THH

THT

TTH

TTT

Now, let’s apply some questions:

Probability of landing all three coins on heads: [tex]\frac{1}{8}[/tex]

Explanation: Look at the events above. How many times (out of the eight events) that all three coins land on heads? Well, you can see that there is only one possible event that has HHH. So, the probability of landing all three coins on heads (out of the eight events) is [tex]\frac{1}{8}[/tex].

Probability of landing all three coins on tails: [tex]\frac{1}{8}[/tex]

Explanation: Look at the events above. How many times (out of the eight events) that all three coins land on tails? Well, you can see that there is only one possible event that has TTT. So, the probability of landing all three coins on tails (out of the eight events) is [tex]\frac{1}{8}[/tex].

Probability of landing two coins on heads and one on tails: [tex]\frac{3}{8}[/tex]

Explanation: Look at the events above. How many times (out of the eight events) where two coins land on heads and one on tails? Well, you can see that there are three possible events that include HHT, HTH, THH. So, the probability of landing two coins on heads and one on tails (out of the eight events) is [tex]\frac{3}{8}[/tex].

Probability of landing two coins on tails and one on heads: [tex]\frac{3}{8}[/tex]

Explanation: Look at the events above. How many times (out of the eight events) where two coins land on tails the one on heads? Well, you can see that there are three possible events that include HTT, THT, TTH. So, the probability of landing two coins on tails and one on heads (out of the eight events) is [tex]\frac{3}{8}[/tex].

I hope you understand and that this helps with your question! :)

I need help with this one

Answers

Answer:

c

Step-by-step explanation:

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