Mathematical Exercises ...

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Δημοφιλή αποσπάσματα

Σελίδα 285 - Find the distance of the centre of gravity of the remainder from the intersection of the diagonals.
Σελίδα 128 - The fore wheel of a carriage makes 6 revolutions more than the hind wheel, in going 120 yards ; but if the circumference of each wheel be increased...
Σελίδα 90 - A number is divisible by 9 if the sum of its digits is divisible by 9.
Σελίδα 171 - One company guarantees to pay 5 per cent. on shares of £100 each; another guarantees at the rate of 4f per cent.
Σελίδα 38 - How many hours a day must 42 boys work, to do in 45 days what 27 men can do in 28 days of 10 hours each, the work of a boy being half that of a man ? 11. If 8 guineas be expended in purchasing Brussels carpet f yd. wide, at 3».
Σελίδα 48 - A laborer agreed to serve for 36 days on condition that for every day he worked he should receive $1.25, and for every day he was absent he should forfeit 50 cents.
Σελίδα 264 - A uniform ladder, 10 feet long, rests with one end against a smooth vertical wall and the other on the ground, the coefficient of friction between the ladder and the ground being J.
Σελίδα 156 - In any triangle the sum of the squares on the sides is equal to twice the square on half the base together with twice the square on the straight line drawn from the vertex to the middle point of the base.
Σελίδα 150 - ... a gallon he gained 15 per cent. on the price of the wine, and 20 per cent. on the price of the brandy : in what ratio were the wine and brandy mixed together?
Σελίδα 255 - If he sell to each of two customers a pound of tea at 2s. 9<7. per pound, putting his weights into different scales for each transaction, find whether he gains or loses owing to the incorrectness of his balance, and how much. 6. Find the ratio of the power to the weight in a system of pulleys, each pulley being suspended by a separate vertical string, which has one end fixed to a beam above. [The weight of the pulleys may be neglected.] 7. Describe the Wheel-and-axle. If the string from the axle...

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