The City Commission wants to construct a new street that connects Main Street and North Boulevard, as shown in the diagram below. https://www.connexus.com/content/media/102877-3182010-93934-PM-1187492183/res00000/ppg/examview/images/ot028-1.jpg

Question

anonymous · Answer

a. What will be the length of the new street? Explain how you found this length. 

b. The construction cost has been estimated at $140 per linear foot. Estimate the cost for constructing the street. Explain your method for finding the estimate.

pfenn1 · Answer

You can use the Pythagorean Theorem to solve the first part (a).  Do you know how to use that?

anonymous · Answer

i just know length= 9.8488 but can you explain how i got that? i just know that is the answer

pfenn1 · Answer

How did you just "know" the answer?  I got it from using the sum of the squares of the two sides of a right angle triangle equals the square of the hypotenuse.$$a^2 +b^2=c^2$$

anonymous · Answer

oh yeah now i get how i got it ok now can we move on to B

anonymous · Answer

@pfenn1 please help

pfenn1 · Answer

Sorry.  Trying to get dinner on the table.  Okay not that you have the length of the new  street, the total cost in dollars can be calculated by multiplying the length of the street in feet (hint: have to change the length in miles to length in feet)  by the unit cost in dollars per feet.

anonymous · Answer

so like this 9.8 * 140 ?

pfenn1 · Answer

That would be completely correct if the units of the cost were in $/mi.  You were given it in $/feet.  Do you know how many feet there are in a mile?

anonymous · Answer

1372

pfenn1 · Answer

I think that is the number of yards in a mile.  The number of feet in a mile is 5280.  So if there are 5280 ft/mi. how many feet would there be in 9.8 miles?

pfenn1 · Answer

no.there are 1760 yards in a mile.  Don't know where you got 1372?

pfenn1 · Answer

I have to go.  Good luck.  You can do it.

anonymous · Answer

bye