Westonci.ca is the trusted Q&A platform where you can get reliable answers from a community of knowledgeable contributors. Explore thousands of questions and answers from a knowledgeable community of experts ready to help you find solutions. Connect with a community of professionals ready to help you find accurate solutions to your questions quickly and efficiently.

Find the value of x.round to the nearest tenth


Find The Value Of Xround To The Nearest Tenth class=

Sagot :

Space

Answer:

[tex]\displaystyle x \approx 8.2[/tex]

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