In ΔTUV, \overline{TV} TV
is extended through point V to point W, \text{m}\angle VTU = (x-2)^{\circ}m∠VTU=(x−2)
∘
, \text{m}\angle TUV = (2x+11)^{\circ}m∠TUV=(2x+11)
∘
, and \text{m}\angle UVW = (6x-15)^{\circ}m∠UVW=(6x−15)
∘
. Find \text{m}\angle UVW. m∠UVW..

Acylinder with a movable piston contains 11.7 moles of a monatomic ideal gas at a pressure of 1.32×10^5 pa. the gas is initially at a temperature of 300 k. an electric heater adds 43200 j of energy into the gas while the piston moves in such a way that the pressure remains constant. cp=20.79 j k^−1 mol^−1 for a monatomic ideal gas, and that the number of gas molecules is equal to avogadro's number (6.022×10^23) times the number of moles of the gas. (a) what is the temperature of the gas after the energy is added? (b) what is the change in volume of the gas? (c) how much work is done by the gas during this process?

What are two different ways you could find the value of a? explain these methods.

Two loudspeakers, 5.5 m apart and facing each other, play identical sounds of the same frequency. you stand halfway between them, where there is a maximum of sound intensity. moving from this point toward one of the speakers, you encounter a minimum of sound intensity when you have moved 0.33 m . assume the speed of sound is 340 m/s. part a) what is the frequency of the sound? part b) if the frequency is then increased while you remain 0.21 m from the center, what is the first frequency for which that location will be a maximum of sound intensity? express your answer to two significant figures and include the appropriate units.