The measurements of the base and altitude of a triangle are found to be 36 and 50 centimeters, respectively. The possible error in each measurement is 0.25 centimeter. (a) Use differentials to approximate the possible propagated error in computing the area of the triangle. (b) Approximate the percent error in computing the area of the triangle.

A sign hangs from two wires. The left-hand wire makes an angle of 60° with the horizontal, and the magnitude of the tension in the wire is 362 N. The right-hand wire makes an angle of 45° with the horizontal. Calculate the mass of the sign, in kilograms, to two significant figures. (Take the magnitude of the acceleration due to gravity, g, to be 9.8m s-2.) The mass of the sign is kg (to 2 s.f.)

A plane going 185mph at a bearing of 220° is hit by a 35mph wind bearing due East (90°). Find the relative groundspeed and the new bearing caused by the crosswind. (Round all answers to 1 decimal place) Groundspeed= bearing - O mph

Manvir purchased US$14,000 from a bank in America, which charged her a commission of 0.7%, and sold the US dollars to a bank in Canada, which charged her a 0.24% commission. How much money did she lose or gain? Assume that the exchange rate was C$1= US$0.8931. 0.00 Round to the nearest cent Answer as positive is there was a gain, and negative if there was a loss 9°C