Question

Find the value of x.round to the nearest tenth

Answer 1

Answer:

$\displaystyle x \approx 8.2$

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 Variables

Angle θ = 23°

Opposite Leg = x

Hypotenuse = 21

Step 2: Solve for x

1. Substitute in variables [sine]:                                                                         $\displaystyle sin(23^\circ) = \frac{x}{21}$
2. [Multiplication Property of Equality] Isolate x:                                              $\displaystyle 21sin(23^\circ) = x$
3. Rewrite:                                                                                                           $\displaystyle x = 21sin(23^\circ)$
4. Evaluate:                                                                                                         $\displaystyle x = 8.20535$
5. Round:                                                                                                             $\displaystyle x \approx 8.2$