The seismic activity density of a region is the ratio of the number of earthquakes during a given time span to the land area affected. the table shows the land area and seismic activity density.
which statement about the number of earthquakes the states had for the given time span is true?
state a had approximately 1,533 more earthquakes than state b.
state b had approximately 1,533 more earthquakes than state a.
state a had approximately 3,362 more earthquakes than state b.
state b had approximately 3,362 more earthquakes than state a.

State A had approximately 3,362 more earthquakes than State B

Step-by-step explanation:

Let

x-----> the number of earthquakes during a given time span

y ----> the land area affected

z----> seismic activity density of a region

step 1

Find the number of earthquakes during a given time span of State A

we know that

we have

substitute and solve for x

step 2

Find the number of earthquakes during a given time span of State B

we know that

we have

substitute and solve for x

step 3

Compare the number of earthquakes both states

state A ---->

state B ---->

Find the difference

therefore

State A had approximately 3,362 more earthquakes than State B

geometry: triangles

solvers

lessons

answers archive

call the larger triangle abc

then the smaller triangle cde is similar to abc (all angles are equal, aaa).  

ab is the side that is 36, and we wish to find de, the side corresponding to ab

area_cde = area_abc - area_cde --> area_abc / area_cde = 2

let x=length of de

ratio of areas = (ratio of sides)^2

+2+=+%2836%2fx%29%5e2+

+2+=+1296%2fx%5e2+

++x%5e2+=+1296%2f2+=+648+

25.45584

a

step-by-step explanation: