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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Answer: 84.5%
Step-by-step explanation:
15.2 × 15.2 = 231.04 cm² (area of the entire large square)
5.98 × 5.98 = 35.76 cm² (area of the small square)
large square - small square = area of the blue region
231.04 - 35.76 = 195.28 cm² (area of the blue region)
= percentage of time that the point will be in the blue region
= 0.845 --> 84.5%
<h2>Hello!</h2>
The answer is: The point (0,0) is part of the solution.
<h2>Why?</h2>To find which point is part of the solution of the inequality, we need to evaluate each of the given points. If the inequality is satisfied, then the point is part of the solution, otherwise, if the inequality is not satisfied, the point is not part of the solution.
We are given the inequality:
So, evaluating we have:
- First point (-2,1)
Now, since 1 is not less or equal to -1, the point (-2,1) is not part of the solution.
- Second point (1,3)
Now, since 3 is not less or equal to 2, the point (1,3) is not part of the solution.
- Third point (-4,2)
Now, since 2 is not less or equal to -3, the point (-4,2) is not part of the solution.
- Fourth point (0,0)
Now, since 0 is less than 1, the point (0,0) is part of the solution.
Hence, we have that the point (0,0) is part of the solution.
Have a nice day!