All categories

3 years ago

HELP PLZ WILL MARK U AS BRAINLIEST

Mathematics

1 answer:

Alla [95]3 years ago

3 0

Answer:

Difference in volume between the two vinyl records = 3.872 in³

Step-by-step explanation:

Complete Question

2 Columbia records unveiled the LP (a vinyl record) in the Waldorf Astoria on June 18, 1948, in two formats: 10 inches in diameter, matching that of 78 rpm singles, and 12 inches in diameter. If the thickness of one vinyl record is 0.112 in, then determine the difference in volumes between the 10 inch and 12 inch records.

Each of the vinyl records will be modeled as a cylinder

Volume of a cylinder = πr²h

For the 12 inches diameter records:

r = (12/2) = 6 inches

h = thickness = 0.112 inches

Volume = π × (6²) × 0.112 = 12.672 in³

For the 10 inches diameter records:

r = (10/2) = 5 inches

h = thickness = 0.112 inches

Volume = π × (5²) × 0.112 = 8.8 in³

Difference in volume between the two vinyl records = 12.672 - 8.8 = 3.872 in³.

Therefore, the difference in volume between the two vinyl records = 3.872 in³.

Have a nice day!

You might be interested in

SMART STUDENT PLEASE NEED GOOD MATH STUDENT

tangare [24]

Answer:

Therefore 'x' is equal to 65.4°

Step-by-step explanation:

In Right Angle Triangle ABC

∠ B = 90°

AC = Hypotenuse = 12

CB = Adjacent Side = 5

To Find:

∠ C = x

Solution:

In Right Angle Triangle ABC Cosine Identity we have

$\cos C = \frac{\textrm{side adjacent to angle C}}{Hypotenuse}\\$

Substituting the values we get

$\cos C = \dfrac{CB}{AC}=\dfrac{5}{12}$

$\angle C = \cos^{-1}(0.4166)=65.37=65.4\°$

Therefore 'x' is equal to 65.4°

8 0

3 years ago

The standard form of y = -x + 2 is x + y = 2. Group of answer choices True False

Ipatiy [6.2K]

The answer to this is true

6 0

3 years ago

Use the rectangle below to answer both parts of the question.

trasher [3.6K]

Answer:

part 1= "72=(2w)+(w-15)"

part 2= "29"

I'm not sure if they want "w = abc"

I used that equation to solve part 2

Hope this helps you, I've been where you are

6 0

3 years ago

What is the mathematical form of 19 more than q

Mice21 [21]

q + 19

Step-by-step explanation:

19 more than q is

q + 19

19 + q

5 0

3 years ago

Read 2 more answers

The equation for the ellipse given is 4x^2+9y^2-16x+18y-11

natita [175]

Answer:

a. a = 3, b = 2

b. The coordinate of the center is (2, -1)

c. The eccentricity of the ellipse is √5/3

d. Please see attached graph of the ellipse created with MS Excel

Step-by-step explanation:

7. a. The given equation of the ellipse is presented as follows;

4·x² + 9·y² - 16·x + 18·y - 11

The general equation of an ellipse

$\dfrac{(x - h)^2}{a^2} + \dfrac{(y - k)^2}{b^2} = 1$

We can write;

4·x² - 16·x + 9·y² + 18·y - 11

4·(x² - 4·x + 4) + 9·(y² + 2·y + 1) - 25 - 11

4·(x² - 4·x + 4) + 9·(y² + 2·y + 1) = 25 + 11 = 36

4·(x - 2)² + 9·(y + 1)² = 36

$\dfrac{4\cdot (x - 2)^2}{36} + \dfrac{9 \cdot (y + 1)^2}{36} = \dfrac{36}{36}$

$\therefore \dfrac{ (x - 2)^2}{9} + \dfrac{ (y + 1)^2}{4} = \dfrac{ (x - 2)^2}{3^2} + \dfrac{ (y + 1)^2}{2^2} = 1$

By comparison, a = 3, b = 2, h = 2, k = -1

b. The coordinate of the center, (h, k) = (2, -1)

c. The eccentricity of the ellipse = c/a

c² = a² - b²

∴ c² = 3² - 2² = 5

c = √5

Eccentricity = √5/3

d. Please find attached the graph of the ellipse created with MS Excel

8 0

3 years ago