The ship movement is an illustration of distance and bearing
The ship is 31.97 miles from its point of departure
<h3>The distance from the point of departure?</h3>
The given parameters are:
- Distance east = 40 milies
- Distance southwards = 70 miles
- Angle = 12 degrees
See attachment for the image of the above parameters
The distance (x) from the point of departure is then calculated using the following cosine function
a^2 = b^2 + c^2 - 2bc * cos(Ф)
So, we have:
x^2 = 40^2 + 70^2 - 2 * 40 * 70 * cos(12)
Evaluate the exponent and the product
x^2 = 6500 - 5477.63
Evaluate the difference
x^2 = 1022.37
Evaluate the exponent
x = 31.97
Hence, the ship is 31.97 miles from its point of departure
Read more about distance and bearing at:
brainly.com/question/24142612
One trillion four hundred billion
Answer:
Positive thread.
(It's making a positive slope.)
Let
g(x)--------> the translation of the function f(x)
we know that
the rule of the translation is
units left and
units down
that means

so
In the function f(x) the point
is equal at the point
in the function g(x)
therefore
the function g(x) is equal to


<u>The answer is</u>
a) the rule of the translation is 
b) The graph in the attached figure
The piece of wood is 48 times as long as the nail (12 feet = 144 inches) because 3 goes into 144 48 times.