Answer:
The constant of proportionality is the ratio between two directly proportional quantities. Two quantities are directly proportional when they increase and decrease at the same rate.
The constant of proportionality k is given by k=y/x where y and x are two quantities that are directly proportional to each other. Once you know the constant of proportionality you can find an equation representing the directly proportional relationship between x and y, namely y=kx, with your specific k.
Hope this helps!
Step-by-step explanation:
I got 8/3 because 4/8 would simplify to 1/2 and the line would be flatter
Answer:
11. Eagles to Whales
12. 23:50
13. 27:23
14. 3:5
Step-by-step explanation:
11. Eagles to whales since there are 4 eagles and 2 whales
12. There are a total of 100 senators, so the ratio is 46:100, divide by 2 to get lowest terms
13. #'s are given to you 54:46, just simplify by dividing
14. 21:35, simplify by dividing common terms, which in this case is 7
When you add integers, you keep the sign on the sum.
For example:
-9 + -9 = -18 (kept the sign)
9 + 9 = 18 (kept the "sign")
The solution of cos θ = −0.3 is θ = 107.45760312 degrees
<em><u>Solution:</u></em>
Given that we have to find the primary solution of 
To solve this equation, you must find the unknown (theta)
Use the inverse of cosine (Arccos) to find the angle measurement (in degrees) of theta
We know that arccos (-0.3) = 107.45760312 degrees
[ If you reference a unit circle or use a calculator ]
Therefore solution of cos θ = −0.3 is θ = 107.45760312 degrees
