answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
just olya [345]
2 years ago
6

A stack of one dozen cookies of diameter 2.5 in. exactly fits in a cylindrical container of volume 29.452 in3. Which is the thic

kness of each cookie?
Mathematics
1 answer:
Flura [38]2 years ago
8 0
<h2>Thickness of each cookie is 0.5 in</h2>

Step-by-step explanation:

   Total volume of cylinder = 29.452 in^{3}

Diameter of cookie = 2.5 in. Exactly 12 cookies fit into the cylindrical cylinder. Let the thickness of cookie be t.

\textrm{Volume of cylinder = }12\textrm{ x Volume of cookie}

29.452=12(\pi (\frac{2.5}{2} )^{2}t )

t=0.5\textrm{ in}

∴ Thickness of each cookie is 0.5 in.

You might be interested in
The graph represents function 1, and the equation represents function 2: A coordinate plane graph is shown. A horizontal line is
vladimir2022 [97]

Answer:

A

Step-by-step explanation:

5 0
2 years ago
Explain how making a table helps to compare two or more sets of data that have been presented in different ways.
vlabodo [156]
Making a table helps compare two or more sets of data because you can see how much it has increased or decreased. 
4 0
2 years ago
Read 2 more answers
As an example, 15,000 Men 18-34 watched program X at 7-8 pm on Monday night. 32,000 Men 18-34 had their TV on during the same ti
miv72 [106K]

Answer:

7.5 rating points

Step-by-step explanation:

The computation of the rating for Men 18-34 for program X is shown below:

Given that

Number of men 18 -34 watched a program X = 15,000 = X

Number of men 18 - 34 watched in a same time = 32,000

And, the total households in the market = 200,000 = Y

So, the rating for men 18-34 for program x is

= \frac{X}{Y}

= \frac{15,000}{200,000}

= 7.5 rating points

We simply applied the above formula

3 0
2 years ago
The length, l cm, of a simple pendulum is directly proportional to the square of its period (time taken to complete one oscillat
Greeley [361]

Answer:

1) L \propto T^2

Using the condition given:

2.205 m = K (3)^2

K = 0.245 \approx \frac{g}{4\pi^2}

So then if we want to create an equation we need to do this:

L = K T^2

With K a constant. For this case the period of a pendulumn is given by this general expression:

T = 2\pi \sqrt{\frac{L}{g}}

Where L is the length in m and g the gravity g = 9.8 \frac{m}{s^2}.

2) T = 2\pi \sqrt{\frac{L}{g}}

If we square both sides of the equation we got:

T^2 = 4 \pi^2 \frac{L}{g}

And solving for L we got:

L = \frac{g T^2}{4 \pi^2}

Replacing we got:

L =\frac{9.8 \frac{m}{s^2} (5s)^2}{4 \pi^2} = 6.206m

3) T = 2\pi \sqrt{\frac{0.98m}{9.8\frac{m}{s^2}}}= 1.987 s

Step-by-step explanation:

Part 1

For this case we know the following info: The length, l cm, of a simple pendulum is directly proportional to the square of its period (time taken to complete one oscillation), T seconds.

L \propto T^2

Using the condition given:

2.205 m = K (3)^2

K = 0.245 \approx \frac{g}{4\pi^2}

So then if we want to create an equation we need to do this:

L = K T^2

With K a constant. For this case the period of a pendulumn is given by this general expression:

T = 2\pi \sqrt{\frac{L}{g}}

Where L is the length in m and g the gravity g = 9.8 \frac{m}{s^2}.

Part 2

For this case using the function in part a we got:

T = 2\pi \sqrt{\frac{L}{g}}

If we square both sides of the equation we got:

T^2 = 4 \pi^2 \frac{L}{g}

And solving for L we got:

L = \frac{g T^2}{4 \pi^2}

Replacing we got:

L =\frac{9.8 \frac{m}{s^2} (5s)^2}{4 \pi^2} = 6.206m

Part 3

For this case using the function in part a we got:

T = 2\pi \sqrt{\frac{L}{g}}

Replacing we got:

T = 2\pi \sqrt{\frac{0.98m}{9.8\frac{m}{s^2}}}= 1.987 s

8 0
2 years ago
Hannah and Corrine are playing a game by rolling two cubes, each numbered 1 through 6. If the sum of the numbers on the cubes is
Katarina [22]

Answer:

D. Corrine is not correct because Hannah also wins if 6 is on the first cube and 1 is on the second, if 5 is on the first cube and 2 is on the second, and if 4 is on the first cube and 3 is on the second.

Step-by-step explanation:

To get a sum of 7 by rolling two cubes, we need to get one of the combinations from the list below:

1 on the first cube, 6 on the second cube

or

6 on the first cube, 1 on the second cube

2 on the first cube, 5 on the second cube

or

5 on the first cube, 2 on the second cube

3 on the first cube, 4 on the second cube

or

4 on the first cube, 3 on the second cube

Therefore, the correct answer option is D. Corrine is not correct because Hannah also wins if 6 is on the first cube and 1 is on the second, if 5 is on the first cube and 2 is on the second, and if 4 is on the first cube and 3 is on the second.

7 0
2 years ago
Other questions:
  • When Joanne checked her work by substituting the value of the variable back into the equation, she got an answer of 12.34 = 12.3
    10·2 answers
  • A golfer hits a golf ball at an angle of 25.0° to the ground. If the golf ball covers a horizontal distance of 301.5 m, what is
    5·1 answer
  • Sally needs 300 stickers. Vince gives her 12 packs with 10 stickers in each pack. How many stickers dose sally need now? Draw a
    8·2 answers
  • The table lists the number of minutes per game played by a basketball player. What is the median length of the player's minutes?
    12·1 answer
  • B = 3 V/H solve for V
    14·2 answers
  • The cost function for a certain company is C = 20x + 700 and the revenue is given by R = 100x − 0.5x2. Recall that profit is rev
    15·1 answer
  • Function 1 is represented in the table below. It shows the amount of money, y, in dollars, that Greg earns after he mows x of hi
    15·1 answer
  • A person borrows $10,000 and repays the loan at the rate of $2,400 per year. The lender charges interest of 10% per year. Assumi
    5·1 answer
  • A transformation of rectangle ABCD results in rectangle A'B'C'D'.
    14·2 answers
  • Angie and Becky each completed a separate proof to show that the measures of vertical angles AKG and HKB are equal. Who complete
    9·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!