Answer:
The flight was 137.45 miles farther than the direct path.
(make slight changes if directions were given on how to round. This is to the nearest hundredth)
Step-by-step explanation:
Use the Law of Cosines.
c^2=
a^2+b^2-2abcosC
You know two sides and the angle in between. The Law of Cosines will give us the third side.
The third side is the direct path of the airplane. We'll add the two other given sides to find the detour route that they took instead.
Then subtract the smaller number (direct route) from the actual route. See image.
The y-intercept is changed from 2 to -4.
That means that the point that the graph crosses the y axis has been moved down by 6.
Since the slope of the line has not changed, this just means the graph of the line will be moved down by 6.
Hope this helps!
Your fortune is "When given a difficult choice, trust your gut. If you don't have one, then close your eyes and hope for the best."
Answer:
49
Step-by-step explanation:
100- 51 = 49
Answer:
The volume of the similar prism is 
Step-by-step explanation:
we know that
If two figures are similar, then the ratio of its volumes is equal to the scale factor elevated to the cube
Let
z-----> the scale factor
x----> the volume of the larger prism
y----> the volume of the smaller prism
so

In this problem we have
-----> the scale factor

substitute and solve for x
