An ecology center wants to set up an experimental garden using 300 m of fencing to enclose a rectangular area of 5000 m2 find the dimensions of the garden

For this case, the first thing we must do is define variables.

We have then:

x: length of the garden

y: width of the garden

The garden area is:

The perimeter of the garden is:

Rewriting the perimeter:

Substituting in the area we have:

Completing squares:

We discard the negative root:

Then, the other dimension is:

The dimensions of the garden are:

the largest number of the four options is 1.8 x 10-2

you have it in scientific notation.

1.80 x 10-6   = 0.00000180

1.80 x 10-4   = 0.000180 (bigger, or "less small", than the former one)

so

1.8 x 10-2       = 0.0180. as you see. the "less small", or the biggest one of them all.

as you have negative exponent, it means you are dividing 1.8 by 100 (i.e. moving the dot towards left, two times).

if you had positive exponent for the scientific notation, power of tenths, you would be multiplying times 100 (moving the dot towards right) as below:

1.8 x (10)2 = 180

so. if you have negative exponent in scientific notation, move the dot toward left. if it is positive, toward right as many times the exponent tells you.

a c

step-by-step explanation: