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beks73 [17]
3 years ago
7

80 yd 64 yd b What is the length of the missing leg? = yards

Mathematics
1 answer:
Mice21 [21]3 years ago
8 0

Answer:

b = 48 yards

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

<u>Geometry</u>

  • Pythagorean Theorem: a² + b² = c²

Step-by-step explanation:

<u>Step 1: Define</u>

Leg <em>a</em> = <em>x</em>

Leg <em>b</em> = 64

Hypotenuse <em>c</em> = 80

<u>Step 2: Solve for </u><em><u>x</u></em>

  1. Substitute:                    x² + 64² = 80²
  2. Isolate <em>x</em> term:              x² = 80² - 64²
  3. Exponents:                   x² = 6400 - 4096
  4. Subtract:                       x² = 2304
  5. Isolate <em>x</em>:                       x = √2304
  6. Evaluate:                       x = 48
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