Vector c is 6.28 m long in a 105 degree direction. vector d is 3.09 m long in a 233 degree direction. what is the magnitude and direction of their vector sum?

Explanation:

You can express the vectors in terms of their x- and y-components and add these components to receive the resulting vector.

vector C has components:

x = 6.28m * cos 105° = -1.63m

y = 6.28m * sin 105° = 6.07m

vector D has components:

x = 3.09 * cos 233° = -1.86m

y = 3.09 * sin 233° = -2.47m

Adding both components to get the vector sum:

x = -3.49m

y = 3.6m

You get the magnitude of the vector by using Pythagorean theorem:

magnitude = 5.01m

The angle ∅ is given by:

cos∅ = x/magnitude

Solving for ∅:

∅ = 134°

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.