The area of a triangle varies jointly with the height of the triangle and the length of the base. the area of one triangle is 270 square centimeters when it's height is 30 centimeters and it's base length is 18 centimeters. what is the area of a triangle having a height of 25 centimeters and a base of 16 centimeters?

Carbon- 14 is a radioactive form of carbon found in all living plants. after a plant dies, the carbon- 14 disintegrates. samples of similar living plants are used to determine the age of the remains. the amount of carbone-14 present after t years is given by the exponential equation n(t) = noe where no is the initial amount of carbon-14. the half-life of carbone-14 is 5600 years. charcoal from an ancient fire pit contains one third of earbon-14 found in similar living wood of the same size. find the age of the charcoal half-life is the time required for a quantity to reduce to half its initial amount