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fieryanswererft

Answer:

given below.

Step-by-step explanation:

Used Pythagoras theorem

14)

x² + 3² = 5²

x² = 25 - 9

x = √16

x = 4

4² + 6² = y²

y = √16 + 36

y = 7.2

15)

y² + 6² = 8²

y² = 64 - 36

y = √28

y = 5.3

so x  = 5.3 * 2 = 10.6

x = 10.6

Step-by-step Solution for Question 14

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

  • => 5² = 3² + x²
  • => 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
  • => 81 = 25 + y²
  • => y² = 56
  • => y = √56
  • => y = 7.5 (Rounded) units

Answers (Nearest tenth):

  • x = 4 units
  • y = 7.5 units

Step-by-step Solution for Question 15.

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

  • 8² = 6² + y²
  • => 64 = 36 + y²
  • => 28 = y²
  • => y = √28
  • => y = 5.3 (Rounded) units

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

  • x = 2y
  • => x = 2(5.3)
  • => x = 10.6 units

Answer (Nearest tenth)

  • x = 10.6 units
  • y = 5.3 units

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