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AlekseyPX
3 years ago
6

Please help! I can give brainliest also! Thank you!

Mathematics
1 answer:
Pie3 years ago
8 0

9514 1404 393

Answer:

  a) n(A∪B) = 20

  b) n(A) = 31

Step-by-step explanation:

The relevant formula is ...

  n(A∪B) = n(A) +n(B) -n(A∩B)

__

a) n(A∪B) = 5 +18 -3 = 20

b) 32 = n(A) +14 -13   ⇒   n(A) = 31

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Step-by-step explanation:

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What is true about angle ∠APD?

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Estimate then find the sum 63,824+29,452​
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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
Gnoma [55]

Answer:

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 )

=>   C =  6x  +  3(x + 2y)

=>   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} ]

Now differentiating

     C'  =  9 + 144*  (-2) x^{-2}

     C'  =  9 - 288x^{-2}

At minimum C' =  0

So  

     9 - 288x^{-2} =  0

     x^{-2} =  0.03125

    x =  \sqrt{\frac{1}{0.03125} }

    x =  5.66

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

       C =   9(5.66)  +  [\frac{144}{5.66} ]

       C \approx \$76

   

 

8 0
4 years ago
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