Answer:
AB ≈ 14.3
General Formulas and Concepts:
Math
Rounding
- If Z is < 5, then you round down
- If Z is ≥ 5, then you round up
Pre-Algebra
Order of Operations: BPEMDAS
- Brackets
- Parenthesis
- Exponents
- Multiplication
- Division
- Addition
- Subtraction
Equality Properties
- Multiplication Property of Equality
- Division Property of Equality
- Addition Property of Equality
- Subtraction Property of Equality
Pre-Calculus
- Law of Cosines: a² = b² + c² - 2(b)(c)cosA°
Step-by-step explanation:
Step 1: Identify
a = x, b = 16, c = 5
A = 61°
Step 2: Solve for x
- Substitute in variables [Law of Cosines]: x² = 16² + 5² - 2(16)(5)cos61°
- Evaluate Exponents: x² = 256 + 25 - 2(16)(5)cos61°
- Multiply: x² = 256 + 25 - 160cos61°
- Evaluate Trig: x² = 256 + 25 - 160(0.48481)
- Multiply: x² = 256 + 25 - 77.5695
- Add: x² = 281 - 77.5695
- Subtract: x² = 203.43
- [Equality Property] Square root both sides: x = 14.2629
- Round: x ≈ 14.3
