1) A lake near the Arctic Circle is covered by a 2-meter-thick sheet of ice during the cold winter months. When spring arrives, the warm air gradually melts the ice, causing its thickness to

decrease at a constant rate modeled by h(t) = 2 - 0.25t, where h(t) represents the thickness of

the sheet of ice and t represents the time in weeks.

a. What is the initial value of this function?

b. What is the rate at which the ice sheet is melting?

c. How thick will the ice sheet be after 3 weeks?

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:

sorry i really don't know what tiles and steps you are referring to

step-by-step explanation:

answer: i think it is c