Answer:
The directional bearing of the boat is N 30º E
Step-by-step explanation:
Let 
, where 
is the vector velocity. Given that such vector is represented in rectangular, a positive value in the first component is the value of the vector in the east direction, whereas a positive value in the second component is in the north direction. The directional bearing of the boat (
), measured in sexagesimal degrees, is determined by trigonometrical means:
(1)
If we know that 
and 
, then the directional bearing of the boat is:
In consequence, we conclude that the direction bearing of the boat is 30 degrees to the East from the North (N 30º E).
the complete question in the attached figureLet
A°-----------> <span>the same central angle
</span><span>
For the larger circlelength of larger circle=2*pi*r-------> 2*pi*12-----> 75.36 m
360</span>°<span> (full circle) has a length of------------> 75.36 m
A</span>°-----------------------------------> 16 m
A°=(16)*360/75.36--------> A=76.43°
For the smaller circlelength of smaller circle=2pi*r-------> 2*pi*7.5-----> 47.1 m
360° (full circle) has a length of------------> 47.1 m
76.43°-----------------------------------> X
X=76.43*47.1/360-----> X=10 m ----> length arc of the smaller circle
the answer isthe length arc of the smaller circle is 10 m
The answer is 9
12 ounces x
--------------- = ----------------
10 pounds of soil 120 pounds of soil
Set the equation up as a proportion and solve for x:
10x = 1440
---- -----
10 10
x = 144 ounces
The question asks for the answer in pounds, and 16 ounces = 1 pound.
144/16 = 9
Answer:
60
Step-by-step explanation:
the total games that Sara played =
14+18+28 = 60
