Lucas has 18 coins. there are three times as many pennies as dimes and twice as many nickels as dimes. the number of each coin i
1 answer:
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Answer:
Step-by-step explanation:
<em>Replace it with y</em>
<em>Exchange the values of x and y</em>
<em>Solve for y</em>
<em>Subtracting 1 from both sides</em>
<em>Dividing both sides by 2</em>
<em>Replace it by </em>
So,
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
, then:
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.