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Shalnov [3]
3 years ago
13

BRAiNLIES AND 10 POINTS

Mathematics
2 answers:
kondaur [170]3 years ago
5 0

Answer:

20 inches

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

Equality Properties

<u>Trigonometry</u>

  • [Right Triangle Only] 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> = 48

Hypotenuse <em>c</em> = 52

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

  1. Substitute [PT]:                    x² + 48² = 52²
  2. Isolate <em>x</em> term:                      x² = 52² - 48²
  3. Exponents:                           x² = 2704 - 2304
  4. Subtract:                              x² = 400
  5. Isolate <em>x</em>:                              x = 20
Drupady [299]3 years ago
3 0

Answer:

20 inches

Step-by-step explanation:

Since this is a right triangle, we'll use the Pythagorean Theorem

a^2 + b^2 = c^2

48^2 + b^2 = 52^2

2304 + b^2 = 2704

subtract 2304 from both sides

b^2 = 400

\sqrt{b^2}  = \sqrt{400}

b = 20

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