Answer:
Part 1) The surface that is shared by the two solids is the top of the cube that is the same that the square base of the pyramid.
Part 2) The dimensions of this surface are 6 in x 6 in.
Part 3) Molly needs to paint 228 square inches.
Step-by-step explanation:
Part 1) Which surface is shared by the two solids?
we know that The surface that is shared by the two solids is the top of the cube that is the same that the square base of the pyramid
Part 2) What are the dimensions of this surface?
The surface is a square with side length 6 inches so The dimensions of this surface are 6 in x 6 in
Part 3) what is the area molly needs to paint?
we know that The area that Molly needs to paint is equal to the surface area of the cube plus the surface area of the pyramid minus two times the area of the surface that is shared by the two solids so therefore, Molly needs to paint 228 square inches
Answer:
3876
Step-by-step explanation:
Given the following :
Fraternity members = 20
They are to attend 5 different parties in groups of 4
Meaning a group = 4 persons
Atleast one brother will attend exactly one of the parties. (the brothers are indistinguishable).
Then, exactly one brother at a party (20 - 1) = 19, since they are indistinguishable.
Group members are in 4's
19C4
From: nCr = n! /(n-r)! r!
19C4 = 19! / (19 - 4)! 4!
= 19! / 15! 4!
= (19 * 18 * 17 * 16) / (4 * 3 * 2)
= 93024 / 24
= 3876
48 I think hope this helps
Represent as
w=wally
a=ashan
so wally has 2 more marbles than ashan
w=2+a
together they have 88
w+a=88
since w=2+a, subsitute (2+a) for w in the w+a=88 equation
2+a+a=88
add like terms
2+2a=88
subtract 2 from both sides
2a=86
divide by 2
a=43
ashan has 43 marbles