Answered

Join IDNLearn.com and start exploring the answers to your most pressing questions. Join our interactive community and access reliable, detailed answers from experienced professionals across a variety of topics.

Find the value of x.
Round to the nearest tenth.
100°
25
30
х
x = [?]
Law of Cosines : c2 = a + b2 - 2ab cos C

Find The Value Of X Round To The Nearest Tenth 100 25 30 Х X Law Of Cosines C2 A B2 2ab Cos C class=

Sagot :

Spaceidn

Answer:

x ≈ 42.3

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

Algebra I

  • Equality Properties

Pre-Calculus

  • Law of Cosines: c² = a² + b² - 2(a)(b)cosC°

Step-by-step explanation:

Step 1: Identify

Leg a = 25

Leg b = 30

C = 100°

Leg c = x

Step 2: Solve for x

  1. Substitute [LOC]:                    x² = 25² + 30² - 2(25)(30)cos100°
  2. Exponents:                              x² = 625 + 900 - 2(25)(30)cos100°
  3. Multiply:                                  x² = 625 + 900 - 1500cos100°
  4. Evaluate:                                 x² = 625 + 900 - 1500(-0.173648)
  5. Multiply:                                  x² = 625 + 900 + 260.472
  6. Add:                                        x² = 1525 + 260.472
  7. Add:                                        x² = 1785.47
  8. Isolate x:                                 x = 42.2548
  9. Round:                                    x ≈ 42.3
Thank you for being part of this discussion. Keep exploring, asking questions, and sharing your insights with the community. Together, we can find the best solutions. Thank you for visiting IDNLearn.com. We’re here to provide clear and concise answers, so visit us again soon.