Solution : Given points to be fill are : 5 external points + 5 internal points
Total positions to be fill are 5+5 = 10
given number of sea shell to be placed are = 10
Here all sea shell are different so each sea shell is different from any other sea shell
if we interchange the position of any two sea shell we would be getting totally different
arrangement .
We can think this problem like 10 sea shell are to be placed at 10 different places
We start with placing first sea shell .
In the beginning we have 10 positions
once it is placed we pick second sea shell and now we have only 9 vacant places
once it is placed we pick next ses shell and we have 8 vacant places for it
we continue with it till we place the last sea shell for which we would be having
only 1 vacant place.
This way the total number of arrangements we get : 10x9x8x7x6x5x4x3x2x1 = 3628800
ANSWER = 3628800
Pls show what you need help with
Answer:
46.25 feet squared
Step-by-step explanation:
base area = 5x2 = 10
you need to find how tall the faces of the prism are now. You can do this using the pythagorean theorem: a^2+b^2=c^2
5^2+2.5^2=c^2 and 5^2+1^2=c^2
(since it is a rectangular pyramid)
c= 5.60 and c= 5.01
now be can find the surface area of the 4 triangles
SA= 5.60x2 and SA= 5.01x5
SA=11.2 and SA= 25.05
add all the components (11.2, 25.05, 10) together to get the final surface area: 46.25
I found width=13.72 ft and length=43.72 ft.
Call one dimension of the rectangle x, the other will be x+30
You want an area A=600 ft^2 but A=length x width=x*(x+30)=600
Rearranging you get:

solving this quadratic equation you get a negative solution and a positive one that gives your result.