When your car's engine is running it creates heat. The radiator/cooling system hoses carry coolant through the radiator and back through the engine to keep it operating at an optimal temperature. There are mulitple hoses in a given system. An upper hoseconnects the top of the radiator to the top of the engine.
Also known as antifreeze, coolant is the red or green liquid in your radiator and throughout your cooling system. Radiators are usually filled with a 50/50 mixture of coolant and water. It keeps the water in your radiator and engine from freezing in cold temperatures. It keeps the water from overheating in all temperatures. It helps to lubricate the components in the cooling system.
The brake hoses are what feed the hydraulic brake fluid and pressure to the calipers so that they can slow the vehicle and stop it when stopping is required. If these hoses are damaged and brake fluid leakes out of them, then your caliper(s) will not get enough pressure to stop your vehicle on time.
Brake fluid is a type of hydraulic fluid used in hydraulic brake and hydraulic clutch applications in automobiles, motorcycles, light trucks, and some bicycles. It is used to transfer force into pressure, and to amplify braking force.
An engine pulley is mounted to the engine of an automobile and drives all belts. Your car probably has a serpentine belt which is a continuous belt used to drive multiple peripheral devices. Those devices include an alternator, power steering pump, water pump, air conditioning compressor and the radiator fan.