Explain how you can tell without calculating whether the sum of a positive number and a negative number will be positive, negati
2 answers:
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Answer:
Total number of ways to distribute the prize = 2187
Step-by-step explanation:
Given:
Number of prizes = 7
Number of peoples = 3
We need to find the total number of ways to distribute the prize.
Solution:
From the above statement, 7 prizes are to be distributed between 3 people, wherein each person gets at least one prize.
Each prize is to be distributed among three persons. When the first prize is to be awarded, one of the three is chosen to win the prize. When the second prize is to be awarded, there are again three choices.
So, total number of distribution of the prizes is given as:
Therefore, total number of ways to distribute the prizes = 2187
Answer:
4842.24 cubic feet
Step-by-step explanation:
Use the formula for the volume of a cone, V = r²
The diameter of the cone is 34 ft, so the radius is 17 ft.
Plug in the radius and height into the formula, and solve for the volume:
V = r²
V = (17)²
V = (289)
V = 4842.24
So, the volume of the cone is 4842.24 cubic feet