Aresearcher found that the sea level rose 1 5 of a centimeter in 2 3 of a year. at what rate did the sea level rise? a) 2 5 centimeter per year b) 3 5 centimeter per year c) 2 15 centimeter per year d) 3 10 centimeter per year

The answer is D

Step-by-step explanation:

3

10

centimeter per year

The sea level rose at a rate of  

1

5

2

3

=  

1

5

×  

3

2

=  

3

10

centimeter per year.

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

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step-by-step explanation: