What is the length of the hypotenuse of right UVW shown?
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Answer:
General Formulas and Concepts:
<u>Pre-Algebra</u>
Order of Operations: BPEMDAS
- Brackets
- Parenthesis
- Exponents
- Multiplication
- Division
- Addition
- Subtraction
- Left to Right
Equality Properties
- Multiplication Property of Equality
- Division Property of Equality
- Addition Property of Equality
- Subtraction Property of Equality
<u>Trigonometry</u>
- [Right Triangles Only] SOHCAHTOA
- [Right Triangles Only] cosθ = adjacent over hypotenuse
Step-by-step explanation:
<u>Step 1: Define</u>
<em>Identify variables</em>
Angle θ = 45°
Adjacent Leg = 25
Hypotenuse = <em>x</em>
<u>Step 2: Solve for </u><em><u>x</u></em>
- Substitute in variables [cosine]:
- [Multiplication Property of Equality] Multiply 25 on both sides:
- Rewrite:
- Evaluate: