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podryga [215]
3 years ago
8

is the relationship between the side length of a square and the area of the square an example of a function?

Mathematics
1 answer:
vekshin13 years ago
3 0
Yes. to find the area of a square when you know one side "s", you simply square that side since the area is equal to the base times the height, and the base and height will always be equal in a square since the sides are equal:

A = s^2 

Represented in a function form:

f(s) = s^2

This means whatever you plug in for s, you will square it to get the area.
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Geometry Pythagorean theorem
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Answer:

Below!

Step-by-step explanation:

Using Pythagoras theorem, I will solve all of the problems.

<h3>________________________________________________</h3>

<u>Question 9:</u>

  • 10² = 6² + x²
  • => 100 = 36 + x²
  • => 100 - 36 = x²
  • => 64 = x²
  • => x = 8
<h3>________________________________________________</h3>

<u>Question 10:</u>

  • 26² = 24² + x²
  • => 676 = 576 + x²
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<h3>________________________________________________</h3>

<u>Question 11:</u>

  • 15² = 12² + x²
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  • => 225 - 144 = x²
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<h3>________________________________________________</h3>

<u>Question 12:</u>

  • x² = 8² + 12²
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  • => x = √208
  • => x = 14.2 (Rounded)
<h3>________________________________________________</h3>

<u>Question 13:</u>

  • 7² = 2² + x²
  • => 49 = 4 + x²
  • => 49 - 4 = x²
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  • => x = √45
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<h3>________________________________________________</h3>

<u>Question 14</u>

First, let's solve for the variable x using Pythagoras theorem.

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  • => 25 = 9 + x²
  • => 16 = x²
  • => x = 4 units

Now, let's solve for the variable y using Pythagoras theorem.

  • (3 + 6)² = 5² + y²
  • => (9)² = 25 + y²
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  • => y² = 56
  • => y = √56
  • => y = 7.5 (Rounded) units

Answers (Nearest tenth):

  • x = 4 units
  • y = 7.5 units
<h3>________________________________________________</h3>

<u>Question 15:</u>

First, let's find the value of the variable y using Pythagoras theorem.

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Now, let's find the value of the variable x using multiplication.

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<h3>________________________________________________</h3>
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Step-by-step explanation:

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Step-by-step explanation:

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