(negative square root two)/2, (negative square root two)/2
He will have 7.75 left from the 20 dollar bill he spent
Shifting a circle results to changes in the coordinates of the circle. For instance, if the coordinates of the center of the circle is taken to be (0,0), the new coordinates will be [(0+5),(0+2)] after shifting. The equation of the circle will also change with the same margin.
That is, the new equation will be;
(5+x)^2+(2+y)^2 =19
Notice, only the coordinates changes.
Given:
The composite figure.
To find:
The volume of the given composite figure.
Solution:
Given composite figure contains a cuboid and a pyramid.
Length, breadth and height of the cuboid are 8, 6 and 4 respectively.
Volume of a cuboid is


Length and breadth of the pyramid is same as the cuboid, i.e., 8 and 6 respectively.
Height of pyramid = 10 - 4 = 6
Volume of a pyramid is


The volume of composite figure is


It can be written as

Therefore, the correct option is A.