A rectangular study area is to be enclosed by a fence and divided into two equal parts, with the fence running along the division parallel to one of the sides. If the total area is 384 square feet, find the dimensions of the study area that will minimize the total length of the fence. How much fencing will be required?

Explanation:

Let l be the length of the study area and w be the width of study area.

Area of rectangular part = l x w

A = l x w

384 = l x w

w = 384 / l .... (1)

length of the fence is equal to the perimeter.

P = 2 ( l + w)

  from equation (1)

Differentiate with respect to l

for maxima and minima, it is equal to zero

l = 19.6 ft

so w = 19.6 ft

So, the required fencing = 2 ( 19.6 + 19.6) = 78.4 ft

uranium fissions/breaks up giving out energy and neutrons

answer;

d. are made mostly of liquid

explanation;

-the general   composition and structure planets includes; they have a thick gas and liquid layer covering a small,solid core. mostly the gases are hydrogen and helium atmosphere and layers of liquid hydrogen. for instance neptune and uranus are examples of the outer planets, they have a core covered by ice and ammonia.

-neptune's atmosphere is hydrogen and helium with a bit of methane so there is no oxygen to breath and the interior is made up of frozen water and ammonia with a rock and iron core. thus, there is no liquid water or solid surface to survive.