Answer:

Step-by-step explanation:
Given that,
The value of 
We need to find an expression for
. To find it, put the value of n as (n-1). So,

Hence, the value of S(n-1) is equal to
.
Answer:
Step-by-step explanation:
We know the perimeter of a triangle is the sum of all the sides( two legs and one hypotenuse).
By pythagoras we know that

and the perimeter is
.
Since P=24 and a=6 we have these equations:

From the last equation we have
. Replace h in the first equation we get that


and h=18-8=10
5.5, divide 5,500 by 1,000 to get 5.5 kg.
Answer:
133 fishes
Step-by-step explanation:
Units of food A = 400 units
Units of food B = 400 units
Fish Bass required 2 units of A and 4 units of B.
Fish Trout requires 5 units of A and 2 units of B.
i. For food A,
total units of food A required = 2 + 5
= 7 units
number of bass and trout that would consume food A = 2 x 
= 114.3
number of bass and trout that would consume food A = 114
ii. For food B,
total units of food B required = 4 + 2
= 6 units
number of bass and trout that would consume food B = 2 x 
= 133.3
number of bass and trout that would consume food B = 133
Thus, the maximum number of fish that the lake can support is 133.