A matchbox consists of a tray inside an open ended cover. The ends are of square cross section and the volume is 250 square cms. If the depth of the tray is y cm, neglecting the thickness of the...
A farmer is to enclose an area of land using a dry stone wall and 200 metres of picket fencing. The rectangular plot is for home grown produce to meet his ever growing family's needs. You must show...
A 1000 kg car is placed on the large piston of an hydraulic system whose radius is 5 metres. a.)What is the minimum force exerted by the large piston to lift the car? b.)If the mechanical advantage of...
In a bag there are some red sweets and some green sweets. The ratio of red sweets to green sweets is 2:3 Two sweets are taken at random and eaten. The probability they're both green is 35% How many...
Neighbour and his Dad possess 2 x 2500 Watt loudspeakers with built in Amplifiers. He believes on max output they would draw nearly 20 Amps each. He is afraid this will trip the 32Amp ring breaker....
A bag contains exactly 7 red sweets, the other remaining sweets are all yellow. Two sweets are taken from the bag at random and eaten. The probability of eating 2 yellow sweets is 30% Find how many...
There are N sweets in a bag. Eight of the sweets are red. The rest of the sweets are green. Jack takes a random sweet from the bag. He eats the sweet. Jack then takes at random another sweet from the...
Using 2 switches of the type 'single pole double throw', sketch an electrical diagram to show how an upstairs light bulb can be controlled from either the hall downstairs or from the upstairs landing....
A low frequency amplifier has a power gain of 50 dB. The input of the amplifier is 800 ohms resistive. The output is arranged for a 8 ohm loudspeaker. What will be the rms current in the speaker if a...
You must show your working. Only ruler and pair of compasses allowed. The link below shows the layout of a department office 20 metres by 12 metres. A photocopier is to be installed under certain...
Liam is trying to remember a 3-digit code. He knows the rule that, the first digit is a cube number. The second digit is a factor of 16. The third digit is an odd number. Liam tries a random code that...
A large boat anchored in a port has a ladder which hangs over the side. The length of the ladder is 200cm, the distance between each rung is 20cm and the bottom rung touches the water. The tide rises...
The link below shows a recreation area open to the general public. A park bench is to be installed under the following constraints: i. The bench is to be equidistant from point B and from point D ii....
