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Nataliya [291]
2 years ago
11

What is the value of x to the nearest tenth?

Mathematics
2 answers:
ANEK [815]2 years ago
7 0

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

Colt1911 [192]2 years ago
6 0

Answer:

C. 17.6

General Formulas and Concepts:

<u>Math</u>

  • Rounding

<u>Pre-Algebra</u>

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<u> </u>

<u>Trigonometry</u>

  • [Right Triangles Only] SOHCAHTOA
  • [Right Triangles Only] tanθ = opposite over adjacent

Step-by-step explanation:

<u>Step 1: Identify Variables</u>

Angle θ = 40°

Opposite Leg = <em>x</em>

Adjacent Leg = 21

<u>Step 2: Solve for </u><em><u>x</u></em>

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