Solve the problem.A ladder leans against a building that has a wall slanting away from the ladder at an angle of 96° with the ground. If the bottom of the ladder is 23 feet from the base of the wall and it reaches a point 52 feet up the wall, how tall is the ladder to the nearest foot?
A. 59 ft
B. 61 ft
C. 58 ft
D. 60 ft
Answer: A
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Solve the problem.(i) In general terms, how does the surface-area-to-volume ratio of a rat compare to that of a gorilla?(ii) Which animal must maintain a higher rate of metabolism to replace the heat lost through the skin?
A. (i) The surface-area-to-volume ratio of a rat is higher than the surface-area-to-volume ratio of a gorilla. (ii) The rat must maintain a higher rate of metabolism. B. (i) The surface-area-to-volume ratio of a rat is equal to the surface-area-to-volume ratio of a gorilla. (ii) Both animals must maintain the same rate of metabolism. C. (i) Cannot compare the two because one type of creature is a mammal and the other is not. (ii) Cannot compare the two because one type of creature is a mammal and the other is not. D. (i) The surface-area-to-volume ratio of a rat is lower than the surface-area-to-volume ratio of a gorilla. (ii) The gorilla must maintain a higher rate of metabolism.
Provide an appropriate response.Divide and reduce answer to lowest terms converting improper fractions to whole or mixed numbers: 6 ÷ 3
A.
B.
C. 20
D.
Provide an appropriate response.Given a geometric sequence such that a1 = 1 and a3 = , find a6.
A.
B.
C.
D.
Write a quadratic equation having the given numbers as solutions.9 - , 9 +
A. x2 - 9x + 70 = 0
B. x2 - 18x + x + 70 = 0
C. x2 - 18x + 81 = 0
D. x2 - 18x + 70 = 0