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.
Answer:
Stratified Sampling
Step-by-step explanation:
Stratified sampling involves dividing the population into subpopulations that may differ in important ways. It allows you draw more precise conclusions by ensuring that every subgroup is properly represented in the sample.
To use this sampling method, you divide the population into subgroups (called strata) based on the relevant characteristic (e.g. gender, age range, income bracket, job role).
Based on the overall proportions of the population, you calculate how many people should be sampled from each subgroup. Then you use random or systematic sampling to select a sample from each subgroup.
I hope this helped!
The ratio of that question is 7:12
Answer: -3/2
Step-by-step explanation:
The axis of symmetry, and thus the x-coordinate of the vertex, is given by 
So, the answer is 
Answer:
x= -4 & y=-12
Step-by-step explanation:
multiply y=3x by 2
giving you 2y=6x
subtracting 2y=x+20 from 2y =6x
=> 5x=-20
dividing through by 5
=> x=-4
put x=-4 into y=3x
=> y=3(-4)
<em>y</em><em>=</em><em>-12</em>
