Acie is filing his federal income tax return with the 1040EZ form, and he
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The distance along the path of the ship be within the range of the torpedoes is 4 kilometers.
Explanation:
The submarine lies 3 km from the target ship.
Let B denotes the target ship and C denotes the submarine.
Let AC denotes the the target ship would be within the range of the torpedoes.
The image attached below illustrates that the distance between submarine and the target ship and the range of the torpedoes.
Let BC denotes the distance between the target ship and the submarine. Let AC denotes the range of the torpedoes.
To determine the length of AB, let us use Pythagorean theorem,
Substituting the values of BC = 3 and AC = 5, we have,
Squaring the terms, we get,
Subtracting both sides by 9, we have,
Taking square root on both sides,
Thus, the distance along the path of the ship be within the range of the torpedoes is 4 kilometers.
Suppose 
is the number of possible combinations for a suitcase with a lock consisting of 
wheels. If you added one more wheel onto the lock, there would only be 9 allowed possible digits you can use for the new wheel. This means the number of possible combinations for 
wheels, or 
is given recursively by the formula
starting with
(because you can start the combination with any one of the ten available digits 0 through 9).
For example, if the combination for a 3-wheel lock is 282, then a 4-wheel lock can be any one of 2820, 2821, 2823, ..., 2829 (nine possibilities depending on the second-to-last digit).
By substitution, you have
This means a lock with 55 wheels will have
possible combinations (a number with 53 digits).
starting with
For example, if the combination for a 3-wheel lock is 282, then a 4-wheel lock can be any one of 2820, 2821, 2823, ..., 2829 (nine possibilities depending on the second-to-last digit).
By substitution, you have
This means a lock with 55 wheels will have
possible combinations (a number with 53 digits).