eloiselilet eloiselilet
  • 20-01-2021
  • Mathematics
contestada

In ΔTUV, u = 5.2 cm, ∠T=42° and ∠U=56°. Find the length of t, to the nearest 10th of a centimeter.

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MalakYaqoot
MalakYaqoot MalakYaqoot
  • 20-01-2021

Answer:

[tex]t \approx4.2cm[/tex]

Step-by-step explanation:

[tex] \frac{ \sin(T) }{t} = \frac{ \sin(U) }{u} [/tex]

[tex] \frac{ \sin(42) }{t} = \frac{ \sin(56) }{5.2} [/tex]

[tex](t) \sin(56) = (5.2) \sin(42) [/tex]

[tex] \frac{(t) \sin(56) }{ \sin(56) } = \frac{(5.2) \sin(42) }{ \sin(56) } [/tex]

[tex]t = \frac{(5.2) \sin(42) }{ \sin(56) } [/tex]

[tex]t =4.197010206cm[/tex]

[tex]t \approx4.2cm[/tex]

Answer Link
bryceisking4022 bryceisking4022
  • 16-04-2021

Answer:4.2

Step-by-step explanation:

Answer Link

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