Question

PLEASEE SOMEONE HELP ME ON THIS ITS TODAY IN A COUPLE HOURS!!!

Answer 1

Answer:

$\displaystyle y = 2.90717$

General Formulas and Concepts:

Pre-Algebra

Order of Operations: BPEMDAS

1. Brackets
2. Parenthesis
3. Exponents
4. Multiplication
5. Division
6. Addition
7. Subtraction

• Left 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: Identify

Angle θ = 20°

Opposite Leg = y

Hypotenuse = 8.5

Step 2: Solve for y

1. Substitute in variables [sine]:                                                                         $\displaystyle sin20^\circ = \frac{y}{8.5}$
2. [Multiplication Property of Equality] Multiply 8.5 on both sides:                  $\displaystyle 8.5sin20^\circ = y$
3. Evaluate:                                                                                                          $\displaystyle 2.90717 = y$
4. Rewrite:                                                                                                           $\displaystyle y = 2.90717$