Draw lines/graph for each item;
5. Find the angle from the line 2x + y – 8 = 0 to the line x + 3y + 4 = 0. Draw the lines and
locate the angle formed.
6. Two sides of a square lie along the lines 2y = 20 – 3x and 3x + 2y = 48. Find the area of
the square.
Draw line/s for each item;
3. Find the equation of the line parallel to 5x + 6y – 10 = 0 at a distance 61 from (-3,7).
4. Find the equation of the line parallel to 3x + 4y = 20 and at a distance of 5 units from this
line.
Draw the line/s for each item using
graphing paper
1. Find the distance from the point (2,3) to the line 3x + 4y + 9 = 0.
2. Find the distance between the given line 4x – 3y = 12 and 4x – 3y + 8 = 0. lines.
A reheat cycle with one stage of reheating is executed with steam initially from 90 bar and
530 C. The reheater pressure is 10 bar and the steam leaves the reheater at 480 C.
Condensation occurs at 0.03 bar. find a) W and Wp, b) Heat added, c) Heat rate of the engine
For the network shown below, the boolean expression for X is ________.
Two batteries A & B which have an EMF of 200v and 190v and an internal resistance of 0.2ohms & 0.5ohms are to be charged by a generator which has an EMF of 220v and internal resistance of 0.1ohms. The resistors R1 & R2 a set at 9.8 0hms & 14.8 Ohms respectively.
Calculate the value of the charging currents and the current supplied by the generator .
The diameter of an open-topped tank 1.5 m high increases uniformly from 4.2 m at the [20] base to 6 m at the top. Discharge from the base of the tank takes place through a
75 mm diameter pipe which is 3 m in length. The pipe discharges the water to the atmosphere 1.5 m below the base of the tank. Initially, the tank is fully filled with water.
Take ƒ = 0.01. Find the time to empty the tank.
In a steady flow apparatus, 250 k} of work is done by each kg of the fluid. The specific volume of the fluid, pressure and speed at the inlet are 0.37m*/kg, 600 kPa and 16 m/s. The inlet is 32 m above the floor under the discharge pipe is at lour level. The discharge conditions arc 0.62 m*/kg, 100 kPa and 270 m/s. The internal energy decreases from 100 k/kg to S0 k/kg. How much heat in kJ kg is added to the system? (15 points)
3. For a certain ideal gus R = 25.8 d k = 1.09 What is the value of c, in points) You sent b.What rass (in lb) of this gas would occupy a volume of 15 eu ft at 75 psia and 80 degrees Fahrenheit? points) f 30 BTU are transferred to thais gas at constant volume in (bj, what is the resulting temperature in degrees Fahrenheit? (1 BTU-778 ft h An adiabatic expansion of air occurs through a nozzle from 828 kPa and 71 degrees Celsius to 138 kPa. The initial kinetic energy is negligible. Far an isentropic expansion compile the speed the (5 points) exit section (1S peints)
Methane reacts completely with oxygen to produce carbon dioxide(gas) and water(liq). What is the extent of reaction if 105 moles of water(liq) are produced?
Just write the final answer correct to 2 decimal places. Show all workings.