Answer ! 28 points
the wavelengths of visible light are between 3.8x10^-7 and 7.6x10^-7. are these wavelengths longer or shorter than those ultraviolet rays?
(ultraviolet rays: 10^-10 x 1000)

The wavelengths of ultraviolet rays is shorter than the wavelengths of visible light

Step-by-step explanation:

we have

the wavelengths of ultraviolet rays is

Remember that

Compare with the minimum value of the wavelengths of visible light

therefore

The wavelengths of ultraviolet rays is shorter than the wavelengths of visible light

step-by-step explanation:

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