Answer
$15.65
Step-by-step explanation:
78.25/5=15.65
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.
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Given the previous length of the bedroom and the current scale factor, the length of the bedroom in the current scale drawing is 1008ft.
<h3>What is the length of the bedroom in the scale drawing?</h3>
Scale factor is simply a measure for similar figures, who look the same but have different scales or measures.
To get new dimension;
New dimension = scale factor × current dimension
Given that;
- Current length of the bedroom = 9ft
- Current width of the bedroom = 11ft
- Scale factor = 112
- New length of the bedroom = ?
New dimension = scale factor × current dimension
New length of the bedroom = 112 × 9ft
New length of the bedroom = 1008ft
Therefore, given the previous length of the bedroom and the current scale factor, the length of the bedroom in the current scale drawing is 1008ft.
Learn more about scale factor here: brainly.com/question/22312172
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Answer:
x= -10
Step-by-step explanation:
4.5(8 - x) + 36 = 102 - 2.5(3x + 24)
4.5(8) - 4.5(x) + 36 = 102 - 2.5(3x) -2.5(24)
36 - 4.5x + 36 = 102 - 7.5x - 60
72 - 4.5x = 102 - 7.5x - 60
-4.5x = 102 - 7.5x - 60 - 72
-4.5x + 7.5x = -30
3x = -30
x = -30/3
x = -10
Sorry if its wrong, I try my best.
Presumably, the coin tosses are independent of one another, so
But if the coin flips are not independent, then we can't really say anything about this probability without any more information about how the flips are related...
