The
4th selection is appropriate:
The first line is a dashed line which joins ordered pairs (-2, 1) and (3, 1). The second line is a dashed line and joins ordered pairs (-2, -2) and (3, 3). The portion common above the first line and above the second line is shaded
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.
Answer:
13 pieces
Step-by-step explanation:
We are given that each pie was cut into 8 pieces .
therefore 1 pie is equal to 8 pieces
1 pie = 8 pieces
Lonna gave 13/8 pie to her neighbor .
So multiply both sides with 13/8 in the above equation in order to make the right side into 13/8 pie and to find the corresponding number of pieces .
1×
pie=8× pieces
pie = 13 pieces
The volume of a cone is V= (1/3)pi r²h
it was given
h=12cm
radius=3cm
the volume of the first cone is V1= 1/3)pi r²h1
where h1= h/2=6cm
so its volume is V1=1/3)xpix3²x6=56.52cm^3
and since the two cones are identical so V1=V2=<span>56.52cm^3,
we need </span><span>56.52cm^3 or salt </span>
I think it’s 309 cm because each side is 1 cm, there’s 3 sides, and 103 triangles. so 103x3=309 sides which means 309 cm
