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murzikaleks [220]
3 years ago
11

How do i solve this?​

Mathematics
1 answer:
Alina [70]3 years ago
8 0

Answer:

m∠R = 60°

General Formulas and Concepts:

<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] sinθ = opposite over hypotenuse<u> </u>

Step-by-step explanation:

<u>Step 1: Identify</u>

Angle θ = ∠R

Opposite Leg of ∠R = 10√3

Hypotenuse = 20

<u>Step 2: Solve</u>

  1. Substitute in variables [sine]:                                                                         \displaystyle sin(R^\circ) = \frac{10\sqrt{3}}{20}
  2. [Equality Property] Trig inverse:                                                                    \displaystyle R^\circ = sin^{-1}(\frac{10\sqrt{3}}{20})
  3. Evaluate trig:                                                                                                   \displaystyle R = 60^\circ
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