Answer:
1/14
Step-by-step explanation:
P(red, then black) =
·
=
=
(simplifed form)
Answer:
a) 240°
b) 30°
c) 225°
Step-by-step explanation:
To solve these equations you have to use the inverse of the given trigonometric functions. The inverse of <em>sin</em> is <em>arcsin</em>, and the inverse of <em>tan </em>is <em>arctan. </em>Instead of giving an angle, what is its sine?, the question is: given a sine, what is the angle?.
a)
sin(θ) = -√3/2
θ = arcsin(-√3/2)
θ = -60°
Given the periodicity of sine function, sin(-60°) is equivalent to sin(240°) (-60+180) and sin(300°) (-60+360).
b)
tan(θ) = 1/√3
θ = arctan(1/√3)
θ = 30°
c)
csc means cosecant, by definition:
csc(θ) = 1/sin(θ)
csc(θ) = -√2
1/sin(θ) = -√2
sin(θ) = -1/√2
θ = arcsin(-1/√2)
θ = -45° or 360-45 = 315° or 180+45 = 225°
Answer with explanation:
The given mathematical expression to solve : 
The prime factorization of each term can be written as follows :-


We can see that the greatest common factor of both the terms = 
So we rewrite the given expression as :-

By using distributive property :-
, we have

Answer:
2 4/7!
Step-by-step explanation:
Answer:
first choice
Step-by-step explanation:
make 1/3 and 1/2 a common denominator, which is 6.
1x2
- = 2
-
3x 2 6
1 x 3
- = 3
-
2 x 3 6
now u have 2/6, and 3/6
u subtract 2/6 by 3/6 since ur finding a solution to an inequality. remember to do the opposite sign.
2/6-2/6 = 0 (u cancel that out)
3/6 - 2/6 = 1/6
now u have
q>1/6
since there's no 1/6 the first choice is the most accurate