Hexagonal tiles of side 20 cm are used to tile a room which measures 6.25 m by 4.85 m. assuming we complete the edges by cutting up tiles, how many tiles are needed?

292 tiles

Step-by-step explanation:

To find the number of tiles needed , we need to know the area of the hexagonal tiles and also the area of the room.

Area of hexagon

The area of hexagon is given as :

Area =

Where a is the length of side.

Therefore:

A =

A = X 400

A = (400 x 3 x ) / 2

A =

A = 1039.23

Also to find the area of the room , we must first convert from m to cm

6.25 m = 6.25 x 100 cm

6.25m = 625 cm

4.85m = 485cm

Therefore: Area of the room  = length x breadth

Area = 625 x 485

Area = 303125

Therefore , the number of tiles needed = area of the room / area of hexagon

Number of tiles = 303125/ 1039.23

N = 291.6823032

Therefore , the number of tiles needed ≈ 292

-3

Step-by-step explanation:

I assume the graph is the one attached.

Comparing the points on each curve, f(x) is translated down 3 units and right 5 units to get g(x).  Therefore, the equation of g(x) is:

g(x) = (⅓)ˣ⁻⁵ − 3

So k = -3.