Question

Iris has found some dinosaur bones and a fossil footprint. The length of the footprint is 40​ cm, the length of the thigh bone is 100​ cm, and the length of the body is 700 cm. Complete parts ​(a) and ​(b) below.

Answer 1

Answer:

(a) $\dfrac{foot \ print \ length }{dinosaurs \ length }= \dfrac{2}{35}$

(b)The body length of the dinosaur is 525 cm

Step-by-step explanation:

Question

(a) What is the ratio of the length of the footprints in the dinosaur length?

(b) Iris found a new track she believes was made by the same species of dinosaur. If the footprint was 30 cm long and if the same ratio of foot length to body length holds, how long is the dinosaur?

(a)

Given that:

The length of footprint = 40 cm

the thigh bone = 100 cm

the body length = 700 cm

∴

$\dfrac{foot \ print \ length }{dinosaurs \ length }= \dfrac{40}{700}$

$\dfrac{foot \ print \ length }{dinosaurs \ length }= \dfrac{4}{70}$

$\dfrac{foot \ print \ length }{dinosaurs \ length }= \dfrac{2}{35}$

(b)

suppose p,q,r,s are real numbers, where q ≠ 0 & s ≠ 0.

Then:

$\dfrac{p}{q}=\dfrac{r}{s}$ is a proportion if and only if ps = qr

Given that:

length of footprint = 30 cm

If possible the body length of the dinosaur is q (cm)

The length of how long the dinosaur is can be computed as:

$\dfrac{30}{q}=\dfrac{2}{35}$

2q = 30 * 35

q = (30 * 35)/2

q = 525 cm