Answer:
The area of a rectangle is:
\sf A=lw
Plug in what we know:
\sf x^2-7x+10=l(x-5)
Factor the left side:
\sf (x-2)(x-5)=l(x-5)
Divide (x - 5) to both sides:
\sf l=\boxed{\sf x-2}
So the length is x - 2 meters.
Step-by-step explanation:
Answer:
A function that gives the work required in foot-lbs to lift the bucket up x feet from the ground is
and the work to get the bucket to the top of the cliff is 3726 foot-lbs
Step-by-step explanation:
Work done to lift the rope by distance x feet:

Work done to lift the bucket by distance x feet:

On reaching top 7 gallons of water spilled out so , on going up by x feet
gallons of water spilled out.
a function that gives the work required in foot-lbs to lift the bucket up x feet from the ground:

Now the work to get the bucket to the top of the cliff i.e. x =35

W=3726
Hence, a function that gives the work required in foot-lbs to lift the bucket up x feet from the ground is
and the work to get the bucket to the top of the cliff is 3726 foot-lbs
Answer:
A semicircle measures 180°
Half of 180º is 90º
A right angle measures 90º.
Step-by-step explanation:
Answer:
The side closest to P is the side that is on the same side of the angle bisector as P.
Step-by-step explanation:
The angle bisector is the line containing all the points equidistant from the sides of the angle. Points on one side of the angle bisector are closer to the angle side that is on that side of the angle bisector.
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The attached diagram shows the angle bisector as a dashed line. A couple of different locations for P are shown (P1 and P2). Apparently, we're concerned here with the distance from P along the perpendicular to each side of the angle. For P2 (on the left side of the angle bisector), it may be clear that the left perpendicular is shorter than the right one. Likewise, for P1, the right perpendicular will be shorter.