A sailboat leaves port and sails 12 kilometers west and then 9 kilometers north. The sailboat is now kilometers from port
1 answer:
Answer: The sailboat is at a distance of 15 km from the port.
Step-by-step explanation: Given that a sail boat leaves port and sails 12 kilometers west and then 9 kilometers north.
We are to find the distance between the sailboat from the port in kilometers.
Since the directions west and north are at right-angles, we can visualize the movement of the sailboat in the form of a right-angled triangle as shown in the attached figure.
The sailboat moves leaves the port at P and reach O after sailing 12 km west. From point O, again it moves towards north 9 km and reach the point S.
PS = ?
Using the Pythagoras theorem, we have from right-angled triangle SOP,
Thus, the sailboat is at a distance of 15 km from the port.
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The properties of the mathematical sequence allow us to find that the recurrence term is 1 and the operation for each sequence is
a) Subtraction
b) Addition
c) AdditionSum
d) in this case we have two possibilities
* If we move to the right the addition
* If we move to the left the subtraction
The sequence is a set of elements arranged one after another related by some mathematical relationship. The elements of the sequence are called terms.
The sequences shown can be defined by recurrence relations.
Let's analyze each sequence shown, the ellipsis indicates where the sequence advances.
a) ... -7, -6, -5, -4, -3
We can observe that each term has a difference of one unit; if we subtract 1 from the term to the right, we obtain the following term
-3 -1 = -4
-4 -1 = -5
-7 -1 = -8
Therefore the mathematical operation is the subtraction.
b) ...
In this case we can see more clearly the sequence when writing in this way
each term is found by adding 1 to the current term,
Therefore the mathematical operation is the addition
c)
The recurrence term is unity, with the fact that the sequence extends to the right and to the left the operation is
- To move to the right add 1
-
- To move left subtract 1
Using the properties the mathematical sequence we find that the recurrence term is 1 and the operation for each sequence is
a) Subtraction
b) Sum
c) Sum
d) This case we have two possibilities
- If we move to the right the sum
- If we move to the left we subtract
Learn more here: brainly.com/question/4626313