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determine which is the longer river and by how many kilometers. mississ…

Question

determine which is the longer river and by how many kilometers.
mississippi: 3900 miles; nile: 6608 kilometers
click the icon to view a table of english and metric equivalents.
select the correct choice below and, if necessary, fill in the answer box to complete your choice.
oa. mississippi is the longer river by approximately km.
(round to the nearest whole number as needed.)
ob. nile is the longer river by approximately km.
(round to the nearest whole number as needed.)
oc. both rivers are the same length rounded to the nearest km.

Explanation:

Step1: Convert miles to kilometers

We know that \(1\) mile is approximately \(1.609\) kilometers.
For the Mississippi river which is \(3900\) miles long, its length in kilometers is \(3900\times1.609\).

$$3900\times1.609=(4000 - 100)\times1.609=4000\times1.609-100\times1.609=6436 - 160.9 = 6275.1$$

Step2: Compare the lengths

The length of the Mississippi river is approximately \(6275\) km (rounded to the nearest whole number) and the length of the Nile river is \(6608\) km.
Now, find the difference in lengths: \(6608−6275.1 = 332.9\approx333\)

Answer:

B. Nile is the longer river by approximately \(333\) km.