kamariijackson kamariijackson
  • 12-07-2022
  • Mathematics
contestada

Z
1
t
= [?]√
X
= Z
16

Z 1 t X Z 16 class=

Respuesta :

Medunno13
Medunno13 Medunno13
  • 12-07-2022

Answer: [tex]8\sqrt{5}[/tex]

Step-by-step explanation:

By the geometric mean theorem,

[tex]\frac{y}{16}=\frac{4}{y}\\\\y^{2}=64\\\\y=8[/tex]

So, by the Pythagorean theorem,

[tex]8^2 + 16^2 = x^2\\\\320=x^2\\\\x=\boxed{8\sqrt{5}}[/tex]

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