Answer:
Option C.
Step-by-step explanation:
It is given that the surface area of a rectangular prism, is
where a, b, and c represent the lengths of the edges of the prism.
We need to find the surface area of this prism if a = 12 inches, b = 6 inches, and c = 4 inches.
Substitute a=12, b=6 and c=4 in the above formula.
The surface area of this prism is 288 sq.inches.
Therefore, the correct option is C.
Answer:
The geometric mean of 14 and 20 is 16.73.
Step-by-step explanation:
It is required to find the geometric mean of 14 and 20. Let the numbers are :
a = 14 and b = 20
The geometric mean for two numbers is given by :
Plugging the values in above formula as follows :
So, the geometric mean of 14 and 20 is 16.73.
Answer:
(a) (6, 2)
Step-by-step explanation:
The system of equations has one of them in y= form, so it lends itself to solution by substitution.
__
Using the equation for y to substitute into the first equation, we have ...
2x -y = 10
2x -(-1/2x +5) = 10 . . . . . substitute for y
2x +1/2x -5 = 10 . . . . . eliminate parentheses
5/2x = 15 . . . . . . . . . add 5, collect terms
x = 6 . . . . . . . . . . . multiply by 2/5
Using the equation for y, we have ...
y = -1/2(6) +5 = -3 +5
y = 2
The solution is (x, y) = (6, 2).
