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:
The picture of the question in the attached figure
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
<em>i hope this helps you</em>
Answer:
26
Step-by-step explanation:
There are 60 pupils in the survey
32 are boys, so we assume 28 are girls
12 of the boys said cola was their favourite
4 boys liked water best.
That is a total of 16 boys who prefer either cola or water out of 32 total boys
There are 16 boys leftover who must have milk as there favourite
9 girls liked water best
21 pupils altogether said milk was there favourite. We know there are 16 boys who said milk was there favourite, meaning 5 of these pupils must be girls.
That means 9 girls have water as their favourite and 5 have milk as their favourite, a total of 14
We know there are 28 girls total. That means 14 of them must have listed cola as their favourite drink.
There are 14 girls and 12 boys who said cola was their favourite, a total of 26 pupils
Answer:
20°
Step-by-step explanation:
40°, 70° and 90° are the measures of the three angles of the quadrilateral.
Measure of fourth angle of the Quadrilateral
= 360° - (40° + 70° + 90°)
= 360° - 200°
= 160°
Measure of angle 1 will be equal to the measure of the linear pair angle of 160° as they are corresponding angles.
Thus,
Alternate method:
![m\angle 1 = 180\degree- [360\degree-(40\degree+70\degree+90\degree)]](https://tex.z-dn.net/?f=m%5Cangle%201%20%3D%20180%5Cdegree-%20%5B360%5Cdegree-%2840%5Cdegree%2B70%5Cdegree%2B90%5Cdegree%29%5D)
![\implies m\angle 1 = 180\degree- [360\degree-200\degree]](https://tex.z-dn.net/?f=%5Cimplies%20m%5Cangle%201%20%3D%20180%5Cdegree-%20%5B360%5Cdegree-200%5Cdegree%5D)
Answer:
5 is the coefficent of y if you simplify and 3 is the constant
Step-by-step explanation:
7y-2y=5y. The coefficient is the number that goes with the variable, or letter, such as y. The constant is the number that does not have any coefficients attached to it.
