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Sagot :
Answer:
x ≈ 42.3
General Formulas and Concepts:
Pre-Algebra
Order of Operations: BPEMDAS
- Brackets
- Parenthesis
- Exponents
- Multiplication
- Division
- Addition
- 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
- Substitute [LOC]: x² = 25² + 30² - 2(25)(30)cos100°
- Exponents: x² = 625 + 900 - 2(25)(30)cos100°
- Multiply: x² = 625 + 900 - 1500cos100°
- Evaluate: x² = 625 + 900 - 1500(-0.173648)
- Multiply: x² = 625 + 900 + 260.472
- Add: x² = 1525 + 260.472
- Add: x² = 1785.47
- Isolate x: x = 42.2548
- Round: x ≈ 42.3
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