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Dahasolnce [82]
3 years ago
10

Columbia Records unveiled the LP (a vinyl record) in the Waldorf Astoria on June 18, 1948,

Mathematics
1 answer:
snow_tiger [21]3 years ago
8 0

Answer:

Difference in volume between the 10 inch diameter and the 12 inch diameter vinyl records = 3.872 in³

Step-by-step explanation:

Both of the vinyl records will each be modelled 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

Hope this Helps!!!

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Angles a and b are vertical angles. If mA = (5x – 24)° and m B = (3x + 24),
Nata [24]

Answer:

The correct answer is x = 24.

Step-by-step explanation:

To solve this problem, we must remember that vertical angles have the same measure.  This lets us set up the following equation:

m<a = m<b

If we substitute their values, we get the following:

5x - 24 = 3x + 24

To solve this equation, we can first subtract 3x from both sides of the equation.

2x - 24 = 24

Next, we can add 24 to both sides of the equation.

2x = 48

Finally, we can divide both sides of the equation by 2.

x = 24

Therefore, the answer is x = 24.

Hope this helps!

4 0
3 years ago
What is the area of the sector having a radius of 8 and a central angle of 5pi/3 radians?
Naya [18.7K]

Answer:

  160π/3 units² ≈ 167.55 units²

Step-by-step explanation:

The appropriate area formula is ...

  A = (1/2)r²θ

Filling in the numbers, you have ...

  A = (1/2)(8²)(5π/3) = 160π/3 ≈ 167.55 . . . . square units

8 0
3 years ago
8x + 12<br> Can someone please factorise this
ivanzaharov [21]

Answer:

4(2x + 3)

Step-by-step explanation:

Given

8x + 12 ← factor out the common factor of 4 from both terms

= 4(2x + 3)

3 0
3 years ago
Which set of points does not represent a function
Maurinko [17]
If it is a bunch of dots on a graph, then the answer will be the one that has two sets of dots on the same vertical line (the y axis). so if there are two dots right above and below eachother, that graph is the correct answer. 
8 0
3 years ago
What are the zeros of the function f(x) =x^2-11x+24 ?
UNO [17]

Answer:

there is none

Step-by-step explanation:

3 0
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