can these strips be connected together to make a continuous length of 36 feet

Thanks for your interest in Armacost Lighting RibbonFlex PRO. We do not recommend a continuous length of 36 feet. If you were to attempt this there will be voltage drop and the lights at the end of the run will be dimmer than those at the beginning. If you want 36 feet of lighting, the best solution is to center-locate the power supply and have lighting runs at a maximum of 16 feet each. This will eliminate voltage drop and deliver consistency of lighting. Feel free to contact our customer support team at support@armacostlighting.com for additional assistance if needed.