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lutik1710 [3]
3 years ago
9

For geometry:( please help, will give brainist

Mathematics
1 answer:
Aleks [24]3 years ago
8 0

Answer:

6.7

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 Triangles Only] Pythagorean Theorem: a² + b² = c²

Step-by-step explanation:

<u>Step 1: Identify Variables</u>

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

Leg <em>b</em> = 2

Hypotenuse <em>c</em> = 7

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

  1. Substitute [PT]:                    x² + 2² = 7²
  2. Isolate <em>x </em>term:                      x² = 7² - 2²
  3. Exponents:                          x² = 49 - 4
  4. Subtract:                              x² = 45
  5. Isolate <em>x</em>:                              x = 3√5
  6. Evaluate:                              x = 6.7082
  7. Round:                                 x ≈ 6.7
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Answer:

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Step-by-step explanation:

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a rectangular dog kennel is to be constructed alongside a house with 60m of fencing. If the house serves as one side of the kenn
Basile [38]

Answer:

450\text{ m}^2.

Step-by-step explanation:

Let x represent side of kennel opposite to house and y represent other sides.

We have been given that a rectangular dog kennel is to be constructed alongside a house with 60 m of fencing.

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Now, we will substitute x=60-2y in area equation as:

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Let us find the derivative as shown below:

A'(y)=60-4y

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60-4y=0

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A(y)=60y-2y^2

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A(15)=900-2(225)

A(15)=900-450

A(y)=450

Therefore, the greatest possible area that can be enclosed by 60 m of fencing is 450 square meters.

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