4. Two ships leave port at the same time. One sails south at 15 mi/h, and the other sails east at 20 mi/h. Find a function that models the distance, D, between the ships in terms of the time, t (in hours), elapsed since their departure.

(D = 25t) is the function that models the distance, D, between the ships in terms of the time, t (in hours), elapsed since their departure.

Explanation:

First ship sailed south at a speed of 15 mi/h, let this be = A

Second ship sailed east at a speed of 20 mi/h, let this be = B

Making a sketch of the position of this two ships, we will obtain a right angled triangle.

The distance between the two ships is the hypotenuse of the right angled triangle,  let this be = D

From Pythagoras theorem

D² = A² + B²

To find a function that models the distance, D, between the ships in terms of the time, t (in hours), elapsed since their departure.

⇒ D² = (At)² + (Bt)²

   D² = (15t)² + (20t)²

   D² = 225t² + 400t²

   D² = 625t²

   D  = √625t²

   D  = 25t

Therefore, (D = 25t) is the function that models the distance, D, between the ships in terms of the time, t (in hours), elapsed since their departure.

i think it’s a. this is because if they measured the mass of something with a mass of 150g, then their final answer would have to be approximately 150g. though all of their answers are almost 150, rosa and tran have the closest answers (or the exact answer) to the accurate one.

d. platinum would have the greatest temperature increase because it has the lowest specific heat.