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Geometry - 100 nautical miles equals about 115 standard, or statute, miles. To the nearest mile, 156 nautical miles equals ?
A) 100 statute miles
B) 137 statute miles
C) 156 statute miles
D) 179 statute miles

Respuesta :

frika

Answer:

D

Step-by-step explanation:

100 nautical miles equals about 115 statute miles,

156 nautical miles equals about x statute miles.

Write a proportion:

[tex]\dfrac{100}{156}=\dfrac{115}{x}\Rightarrow 100x=156\cdot 115,\\ \\x=\dfrac{156\cdot 115}{100}=\dfrac{17,940}{100}=179.4\approx 179.[/tex]

Thus, 156 nautical miles equals about 179 statute miles.

aachen

Answer:

179 statute miles

Step-by-step explanation:

It is given that, 100 nautical miles equals about 115 standard miles. We need to find the statue miles in 156 nautical miles. It can be calculated using unitary method as :

100 nautical miles = 115 statue miles

1 nautical miles = (115/100) statue miles

So, [tex]156\ nautical\ miles =\dfrac{115}{100}\times 156[/tex]

[tex]156\ nautical\ miles =179.4\ statue\ miles[/tex]

Approx, [tex]156\ nautical\ miles =179\ statue\ miles[/tex]

So, 156 nautical miles is equal to 179 statue miles. Hence, the correct option is (d) 179 statue miles.

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