A certain lake currently has an average trout population of 30,000. The population naturally oscillates above and below average by 3,000 every year. This year, the lake was opened to fishermen. If fishermen catch 4,000 fish every year, how long will it take for the lake to have no more trout?

it will be between 4 and 30 years

Step-by-step explanation:

if the total average population is 30000

And the population is added by +-3000 every year,

And the fishermen catch 4000 every year

Assuming it reduces by 3000 every year,

we will have 7000 reduction every year

let n be the number of years

30000 -7000n = 0

30000/7000 = n

4.28 = 4years

Assuming it increases by 3000 every year,

we will have 1000 reduction every year

30000 - 1000n  = 0

n = 30000/1000 = 30years

-4

step-by-step explanation:

c.   x=2.4cm

step-by-step explanation:

similar triangles are triangles which have the same shape but not the same size. this means their angle measures are equal but their side lengths are not instead they are proportional. to solve, we will set up a proportion and solve.

a proportion is two equal ratios set equal to each other. we form the ratios by finding corresponding sides (sides which match to each other on both triangles by their position). out ratios will be one side of the small triangle over the corresponding side on the big triangle as shown below:

.

to solve the proportion, we'll cross multiply by multiplying numerator with denominator across the equal sign.