In the roof design below, the lower support beam, A, is 16 feet. The vertical support beam, B, is 11 feet. The two beams meet at a right angle. What is the minimum length necessary for the angled support beam, C?
picture not drawn to scale
A.27 feet
B. 20 feet
C.40 feet
D25 feet

The average number of vehicles waiting in line to enter a parking lot can be modeled by the function f left parenthesis x right x squared over 2 left parenthesis 1 minus x right parenthesis endfraction , where x is a number between 0 and 1 known as the traffic intensity. find the rate of change of the number of vehicles waiting with respect to the traffic intensity for the intensities (a) xequals0.3 and (b) xequals0.6.

Johnny rode his bike to a friends house 4 blocks down the street in his neighborhood. he immediately rode back home once he realized his friend was unable to play. what was his displacement for the total bike ride trip? what could you use as a reference point ? show the steps to solve this problem.

Asequence is a function whose is the set of natural numbers