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nasty-shy [4]
4 years ago
7

At 12 noon a ship going due east at 12 knots crosses 10 nautical miles ahead of a second ship going due north at 16 knots

Mathematics
1 answer:
mixas84 [53]4 years ago
7 0
6t-10is the awsner. If s is the number of nautical miles separating the ships, express s in terms of t(the number of hours after 12 noon). I formed the equation s squared to the second power equals (12t) squard to the second power + (10 - 16) squared to the second power
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Fofino [41]

Answer:

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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>Geometry </u>

  • Definition of a Line: A line is 180°

Step-by-step explanation:

<u>Step 1: Set up Equation</u>

m∠BDC + m∠CDA = 180°

(-7x + 12)° + (-8x + 48)° = 180°

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

  1. Combine like terms:                    -15x + 60 = 180
  2. Isolate x term:                              -15x = 120
  3. Isolate x:                                       x = -8

<u>Step 3: Find m∠BDC </u>

  1. Define:                    m∠BDC = (-7x + 12)°
  2. Substitute in x:       m∠BDC = (-7(-8) + 12)°
  3. Multiply:                  m∠BDC = (56 + 12)°
  4. Add:                        m∠BDC = 68°
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3 years ago
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