Water is flowing into and out of a small reservoir. The total amount of water can be modeled by R, where sin cubic feet, t is measured in hours, and ≤ t ≤ 8. a) What is the average rate of change of R over the interval ≤ t ≤ 8? Indicate the correct units of measure. b) Find the value of R′ (t). Using correct units, interpret the meaning of the value in the context of the problem. c) Find all times t for which the rate at which the amount of water in the reservoir is changing is equal to the average rate of change of R over the interval ≤ t ≤ 8. d) The reservoir can hold a maximum of 30 cubic feet. At what time after t = 8 hours will the reservoir reach its capacity?

something that characterises a right triangle is the fact that we may use pythagoras' theorem to find any one of its sides given that we have the length of the other two sides. here, we have the length of the hypotenuse, √(87) yd, and one other side, √(23) yd, thus we can easily find the length of the remaining side using pythagoras' theorem as defined below:

c^2 = a^2 + b^2, where c is the length of the hypotenuse, and a and b are the lengths of the other two sides.

thus, given that c = √(87) and a = √(23), we may substitute these into the formula we defined above to get:

c^2 = a^2 + b^2

(√87)^2 = (√23)^2 + b^2 (substitute c = √87 and a = √23 into the equation)

87 = 23 + b^2 (evaluate (√87)^2 = 87 and (√23)^2 = 23 - remember that the square root of a number, squared will equal that very same number)

64 = b^2 (subtract 23 from both sides)

√64 = b (take the square root of both sides)

8 = b (evaluate √64 = 8)

therefor, the length of the unknown leg in the right triangle is 8 yd (first answer).

your answer   is c

step-by-step explanation:

the answer is  

a.

28 ft2

step-by-step explanation:

i belive the biggest ratio would be 18: correct me if im wrong