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Step-by-step explanation:
Look at the photo below for the details.
Answer:
C. 194
Step-by-step explanation:
An integer can be a positive or negative whole number, but not a decimal. If this number is an integer, then it is also a rational number. So, 194 fits this description.
Maybe this image can help you.
Answer:
37.59 nautical miles
Explanation:
Distance = Speed x Time
The speed of the first ship = 12 knots
Thus, the distance covered after 1.5 hours
![\begin{gathered} =12\times1.5 \\ =18\text{ miles} \end{gathered}](https://tex.z-dn.net/?f=%5Cbegin%7Bgathered%7D%20%3D12%5Ctimes1.5%20%5C%5C%20%3D18%5Ctext%7B%20miles%7D%20%5Cend%7Bgathered%7D)
The speed of the second ship = 22 knots
Thus, the distance covered after 1.5 hours
![\begin{gathered} =22\times1.5 \\ =33\text{ miles} \end{gathered}](https://tex.z-dn.net/?f=%5Cbegin%7Bgathered%7D%20%3D22%5Ctimes1.5%20%5C%5C%20%3D33%5Ctext%7B%20miles%7D%20%5Cend%7Bgathered%7D)
The diagram representing the ship's path is drawn and attached below:
The angle at port = 90 degrees.
The triangle is a right triangle.
Using Pythagorean Theorem:
![\begin{gathered} c^2=a^2+b^2 \\ c^2=18^2+33^2 \\ c^2=324+1089 \\ c^2=1413 \\ c=\sqrt[]{1413} \\ c=37.59\text{ miles} \end{gathered}](https://tex.z-dn.net/?f=%5Cbegin%7Bgathered%7D%20c%5E2%3Da%5E2%2Bb%5E2%20%5C%5C%20c%5E2%3D18%5E2%2B33%5E2%20%5C%5C%20c%5E2%3D324%2B1089%20%5C%5C%20c%5E2%3D1413%20%5C%5C%20c%3D%5Csqrt%5B%5D%7B1413%7D%20%5C%5C%20c%3D37.59%5Ctext%7B%20miles%7D%20%5Cend%7Bgathered%7D)
The two ships are 37.59 nautical miles apart after 1.5 hours.
Answer:
He ended up with about 1 pound less grapes.
Step-by-step explanation: