The vectors v and w lie in the xy-coordinate plane such that their initial points are at the origin. Vector v has a magnitude of 2 and forms an angle of 0° with the positive x-axis. Vector w has a magnitude of 2 and forms an angle of 90° with the positive x-axis. What is the magnitude and direction of the vector v + w? A v + w has a magnitude of 2 and forms an angle of 45° with the positive x-axis. B v + w has a magnitude of 22√ and forms an angle of 0° with the positive x-axis. C v + w has a magnitude of 22√ and forms an angle of 45° with the positive x-axis. D v + w has a magnitude of 2√2 and forms an angle of 45° with the positive x-axis.

i'm not sure i quite understand, could you provide more information?

45

step-by-step explanation:

square pyramid

step-by-step explanation:

square prism looks like nothing like that

triangular prism has a rectangular base instead of a square base

tetrahedron has a triangular base

we have three similar triangles, because each has a right angle and shares an angle.   let's write the angles in order: opposite to short leg, long leg, hypotenuse.

cab similar to bad similar to cbd

or as ratios,

ca: ab: cb = ba: ad: bd = cb: bd: cd

we also know

ac = ad + cd

(ad+cd): ab: cb = ba: ad: bd = cb: bd: cd

(ad+cd)/cb=cb/cd

we have cb=6, ad=5 and seek x=cd.

we reject the negative root and conclude x=4

answer: 4