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wolverine [178]
3 years ago
14

Find the missing side of the triangle

Mathematics
1 answer:
Ivanshal [37]3 years ago
8 0

Answer:

25 in

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

  • Multiplication Property of Equality
  • Division Property of Equality
  • Addition Property of Equality
  • Subtraction Property of Equality<u> </u>

<u>Trigonometry</u>

[Right Triangles Only] Pythagorean Theorem: a² + b² = c²

  • a is a leg
  • b is another leg
  • c is the hypotenuse<u> </u>

Step-by-step explanation:

<u>Step 1: Identify</u>

Leg a = 24

Leg b = 7 in

Leg c = <em>x</em>

<em />

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

  1. Substitute in variables [Pythagorean Theorem]:                                          24² + 7² = x²
  2. Evaluate exponents:                                                                                      576 + 49 = x²
  3. Add:                                                                                                                 625 = x²
  4. [Equality Property] Square root both sides:                                                 25 = x
  5. Rewrite/Rearrange:                                                                                        x = 25
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Answer:

<u>Answer (a):</u>

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Step-by-step explanation:

Paws at Play made a total of $1234 grooming 22 dogs.

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Let the number of small dogs be 's'

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<u>A system of equations will be:</u>

s + l = 22 ... (i)

43s + 75l = 1234 ... (ii)

Solving this set of simultaneous equations by elimination, we simply multiply (i) by 43 to get;

43s + 43l = 946 ... (i)

43s + 75l = 1234 ... (ii)

Subtracting (i) from (ii) we get;

32l = 288 , l = \frac{288}{32} = 9

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Step-by-step explanation:

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Answer:

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