The correct answer would be B. 3.5 (c+a). Hope that helps! :)
Answer: No
Step-by-step explanation: First, we need to understand that parallel lines are coplanar lines that do not intersect. On the other hand, perpendicular lines are lines that intersect at a right angle.
However, lines can't be both parallel and perpendicular because they either intersect each other at a right angle or never intersect.
So no, two lines can't be both parallel and perpendicular.
Answer:
ok, i hate questions like these because i don't want to answer them
Step-by-step explanation:
Answer:
72 feet from the shorter pole
Step-by-step explanation:
The anchor point that minimizes the total wire length is one that divides the distance between the poles in the same proportion as the pole heights. That is, the two created triangles will be similar.
The shorter pole height as a fraction of the total pole height is ...
18/(18+24) = 3/7
so the anchor distance from the shorter pole as a fraction of the total distance between poles will be the same:
d/168 = 3/7
d = 168·(3/7) = 72
The wire should be anchored 72 feet from the 18 ft pole.
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<em>Comment on the problem</em>
This is equivalent to asking, "where do I place a mirror on the ground so I can see the top of the other pole by looking in the mirror from the top of one pole?" Such a question is answered by reflecting one pole across the plane of the ground and drawing a straight line from its image location to the top of the other pole. Where the line intersects the plane of the ground is where the mirror (or anchor point) should be placed. The "similar triangle" description above is essentially the same approach.
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Alternatively, you can write an equation for the length (L) of the wire as a function of the location of the anchor point:
L = √(18²+x²) + √(24² +(168-x)²)
and then differentiate with respect to x and find the value that makes the derivative zero. That seems much more complicated and error-prone, but it gives the same answer.
To compare these numbers, you must first put them into one format. Since you have mixed numbers, you may have to find and use the LCD.
-2.5, 1/5, 10, -12/4, 18/5, 10 could be simplified somewhat immediately:
-2.5, 1/5, 10, -3, (3 3/5) This set of numbers is simple enough so that you could rearrange them in ascending order mentally:
-3, -2.5, 1/5, (3 3/5), 10
In this case the number of elements in this set is odd, so all you have to do is to select the MIDDLE element: 1/5.
The median is 1/5.
You MUST learn this procedure (arranging the set elements in ascending order and selecting the middle element) so that you can apply it yourself.