The top of a ladder slides down a vertical wall at a rate of 0.5m/s. at the moment when the bottom of the ladder is 3m from the wall, it slides away from the wall at a rate of 0.2m/s. how long is the ladder?

The length of the ladder is 3.23 m

Explanation:

Let's call the distance from the top of the ladder to the ground, the distance from the bottom of the ladder to the wall and the the length of the ladder.

So, we can write the following equation:

So, if we derive both sides of the equation with respect to t, we get:

Solving for y, and replacing the values of x by 3, by 0.2m/s and by -0.5m/s, we get:

Then, if is equal to 3 m and is equal to 1.2m, is equal to:

answer;

d. are made mostly of liquid

explanation;

-the general   composition and structure planets includes; they have a thick gas and liquid layer covering a small,solid core. mostly the gases are hydrogen and helium atmosphere and layers of liquid hydrogen. for instance neptune and uranus are examples of the outer planets, they have a core covered by ice and ammonia.

-neptune's atmosphere is hydrogen and helium with a bit of methane so there is no oxygen to breath and the interior is made up of frozen water and ammonia with a rock and iron core. thus, there is no liquid water or solid surface to survive.