Lionel created a picture to hang on his wall. The drawing is below. Each circle has a radius of 8cm. The circles touch each othe
r and the ends of the canvas. The background of Lionel’s picture is black. What is the area of the black portion?
2 answers:
Answer:
219.7522cm^2
Step-by-step explanation:
To find area of black portion, we will find the area of the whole square first.
Length of square = 4xRadius of circle
= 4 x 8cm
= 32cm
Area of Square = Length x Width = 32x32
=
Now we find the area of the 4 circles.
Area of 4 circles = 4 x Area of circle
=
=
Area of black portion = Area of square - Area of 4 circles
=
=
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Answer:
See picture and explanation below.
Step-by-step explanation:
With this information, the matrix A that you can find is the transformation matrix of T. The matrix A is useful because T(x)=Av for all v in the domain of T.
A is defined as denotes the vector of coordinates of
respect to the basis
(we can apply this definition because
forms a basis for the domain of T).
The vector of coordinates can be computed in the following way: if then
.
Note that we have all the required information: then
hence
The matrix A is on the picture attached, with the multiplication A(1,1,1).
Finally, to obtain the output required at the end, use the properties of a linear transformation and the outputs given:
In this last case, we can either use the linearity of T or multiply by A.
