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siniylev [52]
4 years ago
8

Do you know how to solve this problem?

Mathematics
1 answer:
Soloha48 [4]4 years ago
3 0
The vertex can be found at x=0, i.e, h=290. The vertex tells us that the bridge is 290 ft. high at its' midpoint. The max width is when y=0, or, in other words:
0.0159x²=290
x²=290/.0159= 18239
x=±135.05
The distance between the feet of the arch is 2x135.05, or 270.10
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A rectangle has an area of 96 sq ft if the width of the yard is 4 ft less than the length, what is the perimeter in ft of the ya
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The area of a rectangle is obtained through the equation,
  
                                  A = L x W 

The width of the yard is 4 ft less than the length and may be expressed as L - 4. Length may be solved through the following steps,
   
                               A = (L)(L-4)   ; 96 = L(L - 4)    ; L = 12 ft

The length and width are 12 ft and 8 ft, respectively. Perimeter may be solved through the equation,
 
                                           P = 2 x (L + W)

Substituting the values of L and W
 
                                           P = 2 x ( 12 ft + 8 ft) = 40 ft

Therefore, the perimeter of the yard is 40 ft. 




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