Final Answer:
The value of the two longest measurements of the Statue of Liberty added together corresponds to option (c) 1×100+4×1+7×0.1+9×0.01.
Step-by-step explanation:
The two longest measurements of the Statue of Liberty are its height and the length from the heel to the top of the head. The height of the Statue of Liberty is 305 feet, and the length from the heel to the top of the head is approximately 111 feet. Converting these measurements into the form given in the options:
Height = 305 feet = 3×100 + 0×10 + 5×1 + 0×0.1 + 0×0.01 = 3×100 + 5×1
Length from heel to top of the head = 111 feet = 1×100 + 1×10 + 1×1 = 1×100 + 1×10 + 1×1
Adding these two measurements together:
(3×100 + 5×1) + (1×100 + 1×10 + 1×1)
= (3+1)×100 + 5×1 + 1×10 + 1×1
= 4×100 + 5×1 + 1×10 + 1×1
= 4×100 + 6×1 + 7×0.1 + 1×0.01
Therefore, the sum of the two longest measurements, the height, and the length from heel to top of the head is equivalent to 4×100 + 6×1 + 7×0.1 + 1×0.01, which matches option (c). Thus, the answer is option (c) for the sum of the two longest measurements of the Statue of Liberty.correct option is c).