amiyamcclain
amiyamcclain amiyamcclain
  • 19-04-2019
  • Mathematics
contestada

find the value of z. round to the nearest hundredth

find the value of z round to the nearest hundredth class=

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kudzordzifrancis
kudzordzifrancis kudzordzifrancis
  • 28-04-2019

ANSWER

C. 64.29

EXPLANATION

The bigger right triangle is similar to the smaller right triangle, therefore

[tex] \frac{30}{14} = \frac{z}{30} [/tex]

Multiply both sides by 30;

[tex]30 \times \frac{30}{14} = \frac{z}{30} \times 30[/tex]

Simplify

[tex]z = \frac{900}{14} [/tex]

[tex]z = 64.28571429[/tex]

We correct to the nearest hundredthth to obtain,

[tex]z = 64.29[/tex]

The correct choice is C.

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