-2(5-x)-15 is greater than 12(x+1)-10(x-3) w
1 answer:
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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.
<u>Answer:</u>
So all the possible solutions are:
<u />
<u>Solution Steps:</u>
<em>First you need to solve the real inequality to understand how to find the rest of the possible equations. </em>
<u>Add 78 to both sides:</u>
- <u />
Cancels Out
<em>So now we know the real answer, but it ask for all possible answers. </em>
(Means anything larger than 300 when you plug it into x - 78 > 300.)
<u>Numbers that are greater than 378:</u>
1.) (False)
2.) (True)
3.) (False)
4.) (False)
5.) (True)
6.) (True)
7.) (False)
8.) (True)
______________________________
Answer: 19 feet
Step-by-step explanation:
Hi, since the situation forms a right triangle (see attachment) we have to apply the next trigonometric function.
Tan α = opposite side / adjacent side
Where α is the angle of depression of the dog, the opposite side (16) is Ted's eye level above the ground, and the adjacent side (x) is the distance between the dog and the barn door.
Replacing with the values given:
tan40 = 16/x
Solving for x
x =16/tan40
x= 19 ft
Feel free to ask for more if needed or if you did not understand something.
