Answer:
m = 6
Step-by-step explanation:
Given
5m + 30 = 60 ( subtract 30 from both sides )
5m = 30 ( divide both sides by 5 )
m = 6
Answer:
312
Step-by-step explanation:
Triangles
1/2 12 *10 = 6*10 = 60
there are two triangles meaning we have to multiply 60 by 2 = 120
Rectangle
12*16 = 192
Add the two and you have the area 120+192=312
Step-by-step explanation:



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:
D. 12°
Step-by-step explanation:
80° + 5x = 140°
or, 5x = 140° - 80°
or, x = 60°/5
:. = 12° <em><u>Ans</u></em>