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What is the value of x to the nearest
tenth?

What Is The Value Of X To The Nearest Tenth class=

Sagot :

Space

Answer:

C. 17.6

General Formulas and Concepts:

Math

  • Rounding

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] tanθ = opposite over adjacent

Step-by-step explanation:

Step 1: Identify Variables

Angle θ = 40°

Opposite Leg = x

Adjacent Leg = 21

Step 2: Solve for x

  1. Substitute in variables [tangent]:                                                                   [tex]\displaystyle tan(40^\circ) = \frac{x}{21}[/tex]
  2. [Multiplication Property of Equality] Isolate x:                                                [tex]\displaystyle 21tan(40^\circ) = x[/tex]
  3. Rewrite:                                                                                                           [tex]\displaystyle x = 21tan(40^\circ)[/tex]
  4. Evaluate:                                                                                                          [tex]\displaystyle x = 17.6211[/tex]
  5. Round:                                                                                                            [tex]\displaystyle x \approx 17.6[/tex]
Mohisha

Answer:

C. 17.6

Step-by-step explanation:

tan(40) = x/21

(21) tan(40) = x/21 (21)

21 * tan(40) = x

17.6 = x

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