The function L = 0.8T^2 models the relationship between L, the length in feet of a pendulum, and T, the period in seconds of the pendulum. Which value is closest to the period in seconds for a pendulum that is 30 ft long?

a 5.4s

b 4.9s

c 6.8s

d 6.1s

Question

Nash Porter

Mathematics

28 September, 06:53

The function L = 0.8T^2 models the relationship between L, the length in feet of a pendulum, and T, the period in seconds of the pendulum. Which value is closest to the period in seconds for a pendulum that is 30 ft long?

a 5.4s

b 4.9s

c 6.8s

d 6.1s

+4

Answers (1)

Know the Answer?

Amanda Barr · Answer 1

The correct option is "d".

Given that L = 0.8T²

length of pendulum = 30ft

L = 0.8T²

30 = 0.8T²

T² = 30 / 0.8

T² = 37.5

T = √37.5 = 6.1 seconds

So, 6.1 is the closest to the period in seconds for a pendulum that is 30 ft long.

The function L = 0.8T^2 models the relationship between L, the length in feet of a pendulum, and T, the period in seconds of the pendulum. Which value is closest to the period in seconds for a pendulum that is 30 ft long?a 5.4sb 4.9sc 6.8sd 6.1s

The function L = 0.8T^2 models the relationship between L, the length in feet of a pendulum, and T, the period in seconds of the pendulum. Which value is closest to the period in seconds for a pendulum that is 30 ft long?

a 5.4s

b 4.9s

c 6.8s

d 6.1s