They are already rounded but 20% and 30% should be correct.
Answer:
-rectangle
-triangle
-line segment
-point
Step-by-step explanation:
A rectangle is formed when the intercepting plane is parallel to two of the faces of the prism
A triangle is formed when the plane cuts the prism near only one vertex, it is not parallel to the faces and 3 edges are cutted
A line segment is formed when the plane "touches" only one edge of the prism
A point is formed when the plane "touches" only one vertex of the prism
The advantage of using function notation is that you can see the input and the output in the answer. For Example: if f(x)=2x + 1 then f(3)=7
Mr. Cutler should make 2 bricks and 7 tiles to maximize his profit.
<u>Step-by-step explanation:</u>
Let the no. of bricks be 'b'
Let the no. of tiles be 't'
Time taken for 1 brick = 10 mins
Time taken for 1 tile = 20 mins
Clay used for 1 bick = 3 pounds
Clay used for 1 tile = 2 pounds
Profit on each brick = $2
Profit on each tile = $3
Total time available= 160 mins
Total clay available = 20 pounds
10b + 20t = 160
b + 2t = 16
b = 16 - 2t
3b + 2t = 20
3(16 - 2t) +2t = 20
48 - 6t + 2t = 20
48 - 4t = 20
-4t = 20-48
4t = 28
t = 7
b = 16 - 2t
b = 16 - 14
b = 2
Mr. Cutler should make 2 bricks and 7 tiles to maximize his profit.
Answer:
x = 25 degree
Step-by-step explanation:
5x + 4 = 8x - 71 (being vertically opposite angle)
5x - 8x = -71 - 4
-3x = -75
x = -75/-3
x = 25