If the length of a sea turtle is directly proportional to its age,
and a 2-year old sea turtle is 3
inches long, how many feet long
is a 80-year old sea turtle?

10 feet

Step-by-step explanation:

Let the length and the age of the sea turtle be L inches and A years old respectively.

Since its length is directly proportional to its age,

L= kA, where k is an unknown constant.

Let's find the value of the constant k.

L= kA

When L= 3, A= 2,

3= k(2)

2k= 3

k= 3 ÷2

Substitute the value of k back into the equation:

When A= 80,

L= 120

Length of sea turtle

= 120 inches

= (120 ÷12) feet

= 10 feet

p ÷ r = tan(x)

step-by-step explanation:

given that there is a figure below shows a right triangle: a right triangle is shown with hypotenuse equal to q units and the length of the legs equal to p units and r units.

graph is missing so i will create the graph as per given information.

the angle between the legs having lengths p units and q units is y degrees. the angle between the legs having lengths r units and q units is x degrees.

now we need to find about what is p ÷ r equal to.

so we can use trigonometric ratio tan(x)=[altitude]/[base] to find the value of p ÷ r, because p is the altitude and r is the base.

p ÷ r=tan(x)

hence final answer is p ÷ r=tan(x).