Tan²( θ ) - (1 + √3) tan (θ) + √3 = 0
tan²( θ ) - (tan (θ) + √3 tan (θ)) + √3 = 0
tan²( θ ) - tan (θ) - √3 tan (θ) + √3 = 0
tan( θ ) ( tan (θ) - 1) - √3 ( tan (θ) - 1 ) = 0
( tan( θ ) - 1 ) ( tan( θ ) - √3 ) = 0
tan( θ ) - 1 = 0
θ = π/₄
tan( θ ) - √3 = 0
θ = π/₃
so θ = π/₄ and θ = π/₃
Answer:
2 -4 (2,0)
Step-by-step explanation:
Answer:
20x3 - 23x3 -4x+4
Step-by-step explanation:
Answer:
No real solution
Step-by-step explanation:
First off I'm assuming that the 1 or -1 at the begging is just the problem number:
First you distribute on both sides
36 - 18x - 3 = 4 - 18x + 30
Then combine like terms
33 - 18x = 34 - 18x
Then rearrange the terms by adding 18x to both sides and subtracting both sides by 33. You should get:
0 = 1
When you add positive 18x it cancels the -18x out. And 34 - 33 is 1. Obviously, zero cannot equal 1 so there is no real solution
Answer: D.) 23%
Step-by-step explanation:
There is a 7/30 chance of selecting a green marble.
7/30 as a percent is 23.33333% and D is the closest answer.