Question

Does arkansas lie under the 40 latitude line

Answer 1

Answer:  Yes; Arkansas {the state in the U.S.A.} does, in fact, lie under the 40° North latitude line.   
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Note:  A map of the U.S.A. states, showing the latitude of Arkansas, will show that the latitude of the entire state of Arkansas lies with 32° N to 36° N.
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Answer 2

No. Arkansas is between 33° and 36.5° latitude