Answer:
Cylinder
(with radius of 4 units and height of 4 units)
Step-by-step explanation:
First, determine the shape of the 2D figure.
Point B is above point A, and point C is above point D.
Point A and B, and points C and D are on the same horizontal line.
Points A and B both have an x-value of zero.
Points C and D both have an x-value of 4.
Therefore, the width of the shape is 4 units
Points A and D have an y-value of zero.
Points B and C have an y-values of 4.
Therefore, the height of the shape is 4 units.
Therefore, the shape of the 2d figure is a square with side length of 4 unit. (See first attached image).
If the square is rotated above the y-axis, it creates a cylinder with a radius of 4 units and a height of 4 units. (See second attached image).
Answer:
number of dimes is 8
number of quarters is 15
Step-by-step explanation:
let 'd' = number of dimes
let 'd+7' = number of quarters
.10d + .25(d + 7) = 4.55
.10d + .25d + 1.75 = 4.55
.35d = 2.80
d = 8
q = 7 + 8
Answer:
B) 7^2 x 7^3
Step-by-step explanation:
B is 7^5 , everything else is 7^4
Answer:
44x +56y = 95
Step-by-step explanation:
To write the equation of the perpendicular bisector, we need to know the midpoint and we need to know the differences of the coordinates.
The midpoint is the average of the coordinate values:
((-2.5, -2) +(3, 5))/2 = (0.5, 3)/2 = (0.25, 1.5) = (h, k)
The differences of the coordinates are ...
(3, 5) -(-2.5, -2) = (3 -(-2.5), 5 -(-2)) = (5.5, 7) = (Δx, Δy)
Then the perpendicular bisector equation can be written ...
Δx(x -h) +Δy(y -k) = 0
5.5(x -0.25) +7(y -1.5) = 0
5.5x -1.375 +7y -10.5 = 0
Multiplying by 8 and subtracting the constant, we get ...
44x +56y = 95 . . . . equation of the perpendicular bisector
Number of faces + (Number of vertices - Number of edges) = 2
So plugging in the numbers it would then be
18+(12-30)=2
18-18=2
0=2
Kelvin would be wrong and I disagree with him. (Because ...*plugin work cited above*)
