A flamingo's leg length is proportional to its body length. A flamingo with a body length of 1.2 feet has a leg length of 2.5 feet. Required:
a. Determine to the nearest thousandth the leg length of a flamingo whose body length is 1.4 feet, showing all work.
b. Convert the leg length determined in part A from feet (ft) to centimeters (cm), showing all work. Round the answer to the nearest tenth.

a) 3.125feet

b) 95.3cm

Step-by-step explanation:

a) Let the flamingo leg length be l

Let the body length be b

If a flamingo's leg length is proportional to its body length then;

l ∝ b (direct proportionality)

l = kb

k is the constant of proportionality

If a flamingo with a body length of 1.2 feet has a leg length of 2.5 feet, then;

when b = 1.2, l = 2.5

Substitute into the formula

2.5 = 1.2k

k =2.5/1.2

k = 2.083

We ate to find l when b = 1.5

Since l= kb

l = 2.083(1.5)

l = 3.125feet

Hence the leg length of a flamingo is 3.125feet to the nearest thousandths

b) Convert 3.125feet to centimeters

Using the conversion factor

1foot =30.48cm

3.125feet = x

Cross multiply

x = 30.48×3.125

x = 95.25cm

Hence the length length in cm to nearest tenth is 95.3cm

a: 1/6, j: 1/4

step-by-step explanation: you are welcome

not only in mathematics, scientific proof also are required in the other field of science. also maths proofs are of particular structure, containing steps and logics. so proving is like doing science, it is science. that's why it is important to prove. 

an inaccurate proof leads to errors, or stating results that are not accurate.  which wil mess the probelm up you dont want this