May someone solve and give explanation

x = 15.7945

General Formulas and Concepts:

Pre-Algebra

Order of Operations: BPEMDAS

to Right

Equality Properties

Multiplication Property of Equality Division Property of Equality Addition Property of Equality Subtraction Property of Equality

Trigonometry

[Right Triangles Only] SOHCAHTOA[Right Triangles Only] sinθ = opposite over hypotenuse

Step-by-step explanation:

Step 1: Define

Identify variables

Angle θ = 33°

Opposite Leg = x

Hypotenuse = 29

Step 2: Find Angle

Substitute in variables [sine]:                                                                           sin33° = x/29[Multiplication Property of Equality] Multiply 29 on both sides:                    29sin33° = xRewrite:                                                                                                             x = 29sin33°Evaluate:                                                                                                           x = 15.7945

Let B be the event that Andrea passes her test, and let A be the event 
that she studies. We are given that P(A and B) = 17/20, and that P(A) = 15/16. 

Now the probability that Andrea passes her test given that she has studied 
is represented by P(BlA). The formula your teacher gave you can be written as 
P(BlA) = P(A and B) / P(A). 

So P(BlA) = P(A and B) / P(A) = (17/20) / (15/16) = (17/20)*(16/15) = 68/75.