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Morgarella [4.7K]
2 years ago
13

PYTHAGORAS work out the side of b. give your answers to one decimal place

Mathematics
1 answer:
Contact [7]2 years ago
6 0

Answer:

12 cm

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: Define</u>

<em>Identify variables</em>

<em>a</em> = 12 cm

<em>c</em> = 17 cm

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

  1. Substitute in variables [Pythagorean Theorem]:                                            12² + b² = 17²
  2. Evaluate exponents:                                                                                         144 + b² = 289
  3. [Subtraction Property of Equality] Subtract 144 on both sides:                     b² = 145
  4. [Equality Property] Square root both sides:                                                      b = √145
  5. [√Radical] Evaluate:                                                                                         b = 12.0416
  6. Round:                                                                                                               b ≈ 12.0
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Answer:

<u>Alejandro went to 8 matinee shows and 4 evening shows.</u>

<u>Our system of equations:</u>

<u>x + y = 12</u>

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Correct statement and question:

Alejandro loves to go to the movies. He goes both at night and during the day. The cost of a matinee is 7 dollars. The cost of an evening show is 12 dollars.

Alejandro went to see a total of 12 movies and spent $ 104. How many of each type of movie did he attend? Write a system of equations.

Source:

Previous question that can be found at brainly

Step-by-step explanation:

Step 1:

Let x to represent the number of matinee shows Alejandro went to.

Let y to represent the number of evening shows Alejandro went to.

Now, let's write our system of equations:

x + y = 12

7x + 12y = 104

*********************

x = 12 - y

*********************

7 (12 - y) + 12y = 104

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Answer:

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