Solve 2pi(t-2)/28.5=pi/2+2pih

$$\frac { 2 \pi ( t - 2 ) } { 28.5 } = \frac { \pi } { 2 } + 2 \pi h$$

Solve for h

$$h=\frac{2t}{57}-\frac{73}{228}$$

Steps for Solving Linear Equation

Multiply both sides of the equation by 2.

$$2\times \frac{2\pi \left(t-2\right)}{28.5}=\pi +4\pi h$$

Use the distributive property to multiply 2\pi by t-2.

$$2\times \frac{2\pi t-4\pi }{28.5}=\pi +4\pi h$$

Divide each term of 2\pi t-4\pi by 28.5 to get \frac{2\pi t}{28.5}+\frac{-4\pi }{28.5}.

$$2\left(\frac{2\pi t}{28.5}+\frac{-4\pi }{28.5}\right)=\pi +4\pi h$$

Divide 2\pi t by 28.5 to get \frac{4}{57}\pi t.

$$2\left(\frac{4}{57}\pi t+\frac{-4\pi }{28.5}\right)=\pi +4\pi h$$

Divide -4\pi by 28.5 to get -\frac{8}{57}\pi .

$$2\left(\frac{4}{57}\pi t-\frac{8}{57}\pi \right)=\pi +4\pi h$$

Use the distributive property to multiply 2 by \frac{4}{57}\pi t-\frac{8}{57}\pi .

$$\frac{8}{57}\pi t-\frac{16}{57}\pi =\pi +4\pi h$$

Swap sides so that all variable terms are on the left hand side.

$$\pi +4\pi h=\frac{8}{57}\pi t-\frac{16}{57}\pi$$

Subtract \pi from both sides.

$$4\pi h=\frac{8}{57}\pi t-\frac{16}{57}\pi -\pi$$

Combine -\frac{16}{57}\pi and -\pi to get -\frac{73}{57}\pi .

$$4\pi h=\frac{8}{57}\pi t-\frac{73}{57}\pi$$

The equation is in standard form.

$$4\pi h=\frac{8\pi t-73\pi }{57}$$

Divide both sides by 4\pi .

$$\frac{4\pi h}{4\pi }=\frac{\pi \times \frac{8t-73}{57}}{4\pi }$$

Dividing by 4\pi undoes the multiplication by 4\pi .

$$h=\frac{\pi \times \frac{8t-73}{57}}{4\pi }$$

Divide \pi \times \frac{-73+8t}{57} by 4\pi .

$$h=\frac{2t}{57}-\frac{73}{228}$$

Solve for t

$$t=\frac{57h}{2}+9.125$$

Steps for Solving Linear Equation

Multiply both sides of the equation by 2.

$$2\times \frac{2\pi \left(t-2\right)}{28.5}=\pi +4\pi h$$

Use the distributive property to multiply 2\pi by t-2.

$$2\times \frac{2\pi t-4\pi }{28.5}=\pi +4\pi h$$

Divide each term of 2\pi t-4\pi by 28.5 to get \frac{2\pi t}{28.5}+\frac{-4\pi }{28.5}.

$$2\left(\frac{2\pi t}{28.5}+\frac{-4\pi }{28.5}\right)=\pi +4\pi h$$

Divide 2\pi t by 28.5 to get \frac{4}{57}\pi t.

$$2\left(\frac{4}{57}\pi t+\frac{-4\pi }{28.5}\right)=\pi +4\pi h$$

Divide -4\pi by 28.5 to get -\frac{8}{57}\pi .

$$2\left(\frac{4}{57}\pi t-\frac{8}{57}\pi \right)=\pi +4\pi h$$

Use the distributive property to multiply 2 by \frac{4}{57}\pi t-\frac{8}{57}\pi .

$$\frac{8}{57}\pi t-\frac{16}{57}\pi =\pi +4\pi h$$

Add \frac{16}{57}\pi to both sides.

$$\frac{8}{57}\pi t=\pi +4\pi h+\frac{16}{57}\pi$$

Combine \pi and \frac{16}{57}\pi to get \frac{73}{57}\pi .

$$\frac{8}{57}\pi t=\frac{73}{57}\pi +4\pi h$$

The equation is in standard form.

$$\frac{8\pi }{57}t=4\pi h+\frac{73\pi }{57}$$

Divide both sides by \frac{8}{57}\pi .

$$\frac{57\times \frac{8\pi }{57}t}{8\pi }=\frac{57\pi \left(4h+\frac{73}{57}\right)}{8\pi }$$

Dividing by \frac{8}{57}\pi undoes the multiplication by \frac{8}{57}\pi .

$$t=\frac{57\pi \left(4h+\frac{73}{57}\right)}{8\pi }$$

Divide \pi \left(\frac{73}{57}+4h\right) by \frac{8}{57}\pi .

$$t=\frac{57h}{2}+9.125$$