Determine formula of area of n-sided polygon as function
An n-sided regular polygon is inscribed in a circle of radius R. Using triangles to construct the polygon and an appropriate double-angle formula, determine the formula of the area of the n-sided polygon as a function of R and n, i.e., A = f(R,n).
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For a given sample of CH3OH, the enthalpychange on reaction is 25.8 kJ. How many grams of hydrogen gases are produced?
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The mass of a radioactive substance follows a continuous exponential decay model, with a decay rate parameter of 8% per day. Find the mass of the sample after six days.
Using triangles to construct the polygon and an appropriate double-angle formula, determine the formula of the area of the n-sided polygon as a function of R and n, i.e., A = f(R,n).
The orbital speeds of the planets are determined to be 42.1 km/s and 56.4 km/s. The slower planet's orbital period is 7.93 years. (a) What is the mass of the star? (b) What is the orbital period of the faster planet, in years?
A current 1.00 g sample of carbon shows 921 disintegrations perhour. If 1.00 g of charcoal from an archeological dig in alimestone cave in Slovenia shows5.50 x 103 disintegrations in 25.2 h, what is the age of the charcoal sample?
car weighing 3,210 pounds is on a driveway inclined 20.2 deg to the horizontal. Neglecting friction, find the magnitude of the force parallel to the driveway that will keep the car from rolling down the hill.
The rate law for a reaction, 2A + B --arrow-- C, is rate = k[A][B]. What is the effect on the rate if the concentration of A is held constant while the concentration of B is doubled?
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