lindsayknittle06
lindsayknittle06 lindsayknittle06
  • 12-02-2022
  • Mathematics
contestada

Solve the formula for T. L=4 πzt+5 πz^3

Solve the formula for T L4 πzt5 πz3 class=

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brainsoft
brainsoft brainsoft
  • 12-02-2022

Answer:

[tex]{ \tt{L = 4\pi zt + 5\pi {z}^{2} }} \\ \\ { \tt{L = \pi z(4t + 5z)}} \\ \\ { \tt{ \frac{L}{\pi z} = 4t + 5z}} \\ \\ { \tt{4t = \frac{L}{\pi z} - 5z}} \\ \\ { \tt{t = \frac{L}{4\pi z} - \frac{5z}{4} }} \\ \\ { \boxed{ \tt{t = \frac{L - 5\pi {z}^{2} }{4\pi z} }}}[/tex]

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