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Allushta [10]
2 years ago
10

Find the angle between the vectors A = <2,-3> asnd B = <-2, -5> to the nearest tenth of a degree.

Mathematics
1 answer:
BlackZzzverrR [31]2 years ago
6 0

Answer:

55.5

Step-by-step explanation:

answer is 55.491477012331599 which rounded to the nearest tenth is 55.5

when you said to the nearest tenth of degree i assume that meant like rounding to the nearest tenth

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A rancher wishes to build a fence to enclose a rectangular pen having area 24 square yards. Along one side the fence is to be ma
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The  value  is  C \approx \$76

Step-by-step explanation:

From the question we are told that

   The  area of the rectangular pen is  A =  24 \ yard^2

     The  cost of material used to make one side is  z = \$ 6

    The  cost of material used to make the other sides is  r  =  \$ 3

Now  , the fence to be build around the rectangular pen  has four sides, the first opposite sides are equal, let assume each of the to be x yard   and the other opposite sides are also equal as well let assume of the to be y yard

So the cost is mathematically represented as

       C =  zx  +  r (x + 2y )

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=>   C =   9x  +  6y

Now the area of the fence is mathematically represented as

      A =  x* y =  24

=>    y  =  \frac{24}{x}

=>  C =   9x  +  6[\frac{24}{x} ]

=>   C =   9x  +  [\frac{144}{x} ]

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     C'  =  9 + 144*  (-2) x^{-2}

     C'  =  9 - 288x^{-2}

At minimum C' =  0

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     9 - 288x^{-2} =  0

     x^{-2} =  0.03125

    x =  \sqrt{\frac{1}{0.03125} }

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Now substituting for x in the equation above to obtain minimum cost

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       C \approx \$76

   

 

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