Answer:
20.14
Step-by-step explanation:
21.15 - 5%(1.01) = 20.14
B
∠ BSR + ∠ TSB = ∠ TSR , substitute values
2x + 17 + 5x + 15 = 102 , that is
7x + 32 = 102 ( subtract 32 from both sides )
7x = 70 ( divide both sides by 7 )
x = 10 → B
The family of possible values for are:
By Linear Algebra, we can calculate the angle by definition of dot product:
(1)
Where:
- Angle between vectors, in sexagesimal degrees.
- Norms of vectors and
If is acute, then the cosine function is bounded between 0 a 1 and if we know that and , then the possible values for are:
Minimum ()
Maximum ()
With the help of a graphing tool we get the family of possible values for are:
2 and 3
And is an inclusive conjunction, meaning more can follow and exist at the same time, while or is an exclusive conjunction, meaning only one choice can exist at one time.