Answer:
12m
Step-by-step explanation:
Answer:
I'm pretty sure a set a decimal fractions is {1/4, 1/2, 3/4}
I think a set of whole numbers is {3, 4, 5.}
A set of integers might be {-2, -1, 0, +1.}
I'm am sure a set of natural numbers is {1, 2, 3.}
The set if rational numbers is {0.1, 0.2, 0.3} I think.
I am not that sure if my answers are right or not so sorry if this is incorrect.
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
The speed of the second ship = 22 knots
Thus, the distance covered after 1.5 hours
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:
m = 4 or m = -8
Step-by-step explanation:
length between 2 points = √(difference of x)² + (difference of y)²
AB² = (m - (-2))² + (5 - 3)² = (m + 2)² + 4 = m² + 4m +8
AC² = ((-1) - (-2))² + (0 - 3)² = 10
AB² = 4AC²
m² + 4m +8 = 40
m² + 4m - 32 = 0
(m - 4) (m + 8) = 0
m = 4 or m = -8
