Eli needs pieces of ribbon cut into strips that are 2 1/2 feet long. The roll of ribbon is 7 1/2 feet long. Which expression cou
1 answer:
3 strips of 2.5 feet can be cut from the 7.5 feet long roll of ribbon.
Step-by-step explanation:
<u>DATA:</u>
Length of strips Eli need is 2.5 feet long
Length of roll of ribbon is 7.5 feet long
Number of strips that can be cut from the 7.5 feet long roll is x
<u>SOLUTION:</u>
To determine how many strips can be cut, divide total length of roll of ribbon by the length of strips needed.
Number of strips that can be cut =
x = (expression)
x = 3 strips
Therefore, 3 strips of 2.5 feet can be cut from the 7.5 feet long roll of ribbon.
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Step-by-step explanation:
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Answer:
If , the slang height of the cone is approximately 23.521 inches.
Step-by-step explanation:
The surface area of a cone (A) is given by this formula:
Where:
- Base radius of the cone, measured in inches.
- Slant height, measured in inches.
In addition, the slant height is calculated by means of the Pythagorean Theorem:
Where is the altitude of the cone, measured in inches. If
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And:
Given that , the following second-order polynomial is obtained:
Roots can be found by the Quadratic Formula:
As radius is a positive unit, the first root is the only solution that is physically reasonable. Hence, the slang height of the cone is approximately 23.521 inches.