Answer:
A . 55° is the answer for that.
For rotation by an angle, θ, in the counter-clockwise direction about the origin, the transformation matrix is given by
The given angle is θ=300°.
The values we need are
Substituting these into the given transformation matrix, we have
To answer this question, you need to understand how to change the description into an equation. Let say that Herbert's container volume is H and Betty's container is B. Then, from the problem you can get this equation:
1. B= 200 (Betty's container hold 200 milli liters)
2. H= 7/8 B (Herbert's container hold 7/8 as much juice)
If you put the 1st equation into the 2nd, you will get:
H=7/8 (200)= 175
Then the two containers will hold
H+B= 200 + 175= 375milli liters