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If construction costs are $160,000 per kilometer, find the cost of building the new road in the figure
shown to the right

The cost of building the new road is $
(Round to the nearest dollar as needed

If construction costs are 160000 per kilometer find the cost of building the new road in the figure shown to the right The cost of building the new road is Roun class=

Respuesta :

akposevictor

Answer:

$4,160,000

Step-by-step explanation:

Step 1: Using Pythagorean Theorem, find the length of the new road in km.

pythagorean theorem formula is given as, c² = b² + a², where,

c = lenght of new road

b = 10,000 m = 10 km

a = 24,000 m = 24 km

(Note: 1 km = 1,000 m)

Plug the values into the formula:

c² = 10² + 24² = 100 + 576

c² = 676

Square both sides

√c² = √676

c = 26 km

Step 2: find the cost for constructing the new road

1 km cost $160,00

26 km would cost: 26*160,000

= $4,160,000

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