What is the answer to 4.5=(2pi)/T ?

The answer to 4.5=(2pi)/T is T=(4pi)/9

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4.5=(2pi)/T

4.5 = \frac{2 π}{T}

T = \frac{4 π}{9}

Decimal Notation

T = 1.39626 \dots

Solution steps

4.5 = \frac{2 π}{T}

Multiply both sides by

T

4.5 T = 2 π

Multiply both sides by

10

45 T = 20 π

Divide both sides by

45

T = \frac{4 π}{9}

Verify Solutions

Find undefined (singularity) points:

T = 0

Combine undefined points with solutions:

T = \frac{4 π}{9}

\frac{8 y}{3 y - 1} = \frac{3}{2} - 1

\frac{5}{6 w} + \frac{1}{w} = - 4

x + \frac{72}{x + 12} = 5

h, r + \frac{3 q}{h} = t

\frac{2 x - 1}{4 - 3 x} = - \frac{3}{4}