Answer:
396 square inches
Step-by-step explanation:
First we must find the overall surface area of the cake, which will the total area of all of the faces.
The cake is a rectangular prism, meaning the faces are all rectangles and opposite faces will be identical.
As opposite faces are identical, the area of only 3 faces need to be found, and a formula can be crafted:
, where l is length, w is width, and h is height.
For demonstration purposes, the length will be 12 and the width will be 15.
Substituting, we get:
Now, we must subtract the area that is not covered by frosting. As there is only a lack of frosting on the base, we subtract the area of the base.
Answer:
A translation by the rule (x,y) - (x,y-9) and then a 180° clockwise rotation about the origin
Step-by-step explanation:
In order to solve this, you have to remember the rules of rotation about the origin, they state that under a 90º clockwise rotation about the origin the the coordinates would switch positions and one of them will change its sign, ( x, y ) becomes ( y, - x ), so if you check out the image you will notice that point A (2,3) becomes A' (-2,6) so since the coordinates changed not only switched you can figure out that this is not only rotation about the origin, but also a translation beforehand, since a 180º rotation about the origin will keep the values of the coordinates on each of them just changing both signs, this means that that is what we are looking for, since point A (2,3) becomes A' (-2,6), you can see the value of "x" remained the same but changed signs, now you just have to use the rule (x,y)-(x,y-9)
(2,3)=(2,3-9)
A' will be translated to (2,-6) if you do a 180º rotation about the origin on that point you will get (-2,6) cause you'd only need to change signs, that's why that is your answer.
Answer:
14395
Step-by-step explanation:
Answer:
The ordered pair to represent a in the equation a=2b+c if b=(6,3) and c=(-4,8) is: a=(8,14)
Step-by-step explanation:
b=(6,3)
c=(-4,8)
a=2b+c
Replacing b and c in the equation above:
a=2(6,3)+(-4,8)
Multiplying:
a=(2*6,2*3)+(-4,8)
a=(12,6)+(-4,8)
Adding:
a=(12+(-4),6+8)
a=(12-4,14)
a=(8,14)
First do the multiplication inside the parenthesis
(-y+15) + (7.2y-9)
Remove the parenthesis now
-y+15+7.2y-9
Simplify:
6.2y +6
So your final answer is