6. The base of a triangular field is three times its height. If the cost of cultivating the field at 36 per hectare is? 486, find its base and height (1 hectare = 10000 m²).

base = 519.62, height = 173.21 m

Step-by-step explanation:

Let the base and height of the triangle be represented by b and h respectively.

Thus,

b = 3h

Area of a triangle = x base x height

For the given triangle,

area = x b x 3h

       = bh

Area of the triangle = bh

To determine the number of hectares,

36 per hectare = 486

hectare =

             = 13.5

numbers of hectares = 13.5

Area of the hectares = number of hectares x 10 000 m²

                                   = 13.5 x 10 000

                                  = 135000

Total area of the hectares = 135 000 m²

So that,

area of the hectares = area of the triangle

area of the triangle = bh

135 000 = bh

270000 = 3bh

bh =

     = 90000

bh = 90000

But, b = 3h

3h x h = 90000

3 = 90000

 =

     = 30000

h =

  = 173.2051

h = 173.21 m

So that,

b = 3 x 173.2051

  = 519.6153

b = 519.62

Therefore, the base of the triangle is 519.62 m, while the height is 173.21 m.

correct choice is b

step-by-step explanation:

when you calculate the average rate of change of a function, you are finding the slope of the secant line between the two points. for the function the average rate of change from point to point can be calculated as

to find the average rate of change from day 2 to day 10, note that at day 2, 8 houses were sold, so a(2,8) and at day 10, 2 houses were sold, so b(10,2). thus,

explanation:

step-by-step explanation: