Respuesta :

Estimates are used to get the approximated value of an expression.

  • The estimate of [tex]d^2 = 54[/tex] is 7
  • The actual value is: 7.34846923

The equation is given as:

[tex]d^2 = 54[/tex]

The perfect closest to 54 is: 49

So, the equation becomes

[tex]d^2 \approx 49[/tex]

Take square of both sides

[tex]d \approx \sqrt{49[/tex]

[tex]d \approx 7[/tex]

The actual value is calculated as follows:

[tex]d^2 = 54[/tex]

Take square roots

[tex]d = \sqrt{54[/tex]

[tex]d = 7.34846923[/tex]

Hence, the estimate is less than the actual value

Read more about estimates at:

https://brainly.com/question/8287095