In ideal conditions, bamboo can grow 47.6 inches per day. at this rate, how many days will it take a bamboo shoot that is 8 inches tall to reach a height of 80 feet?

The bamboo shoot will take 200 days to reach at a height of 80 feet.

Step-by-step explanation:

Given,

Height of bamboo shoot = 8 in

Rate of growth = 47.6 in/day

Since the shoot has to reach a height of 80 feet and the shoot is already 8 inch tall.

So the height that the shoot has to reach is the difference of given height and actual height of the shoot.

For this we have to convert 80 feet into inch.

And we all know 1 feet is equal to 12 inches.

Now,

Height that the shoot has to reach= given height -actual height of the shoot

Height that the shoot has to reach=

Here we use the unitary method to find the number of days.

∵ the shoot grow 4.76 inches in 1 day.

∴the shoot grow 1 inch =

∴the shoot grow 952 inches =

Thus the bamboo shoot will take 200 days to reach at a height of 80 feet.

there are lots of ways.   pick's theorem tells us if the vertices are lattice points the area a is

a = b/2 + i - 1

where b is the number of boundary lattice points and i is the number of interior lattice points.

in the figure i count b=16, i=50 so

a = 8 + 50 - 1 = 57

let's try the shoelace formula.   the area is half the sum of the cross products of the sides.  

a(-2,6)   -2(2)-6(-5) = 26

b(-5,2)   -5(-3) - 2(-2) = 19

c(-2,-3) -2(-3) - (-3)(4) = 18

d(4,-3)   4(3) - (-3)(5) = 27

e(5,3)   5(3) - 3(1) = 12

f(1,3)     1(6) - 3(-2) = 12

a(-2,6)

each of the cross products is twice the area of the triangle with the associated side and one vertex the origin. so the area of abo=26/2=13.

area = (1/2) (26 + 19 +   18 + 27 + 12 + 12) = 57

that checks!

i really dont know

step-by-step explanation: