Walter's family plays a quick game together every night after dinner. Walter draws names out of a hat to determine which kind of
game to play. The family plays cards, board games, or video games. Walter draws names for three nights in a row. The probability that the family plays a different game on each of the three nights is_____ The probability that the family plays a video game two nights and cards one night is_____ The probability that the game played on the first night is played again on the third night is____
2 answers:
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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
, 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.