12 - 3/4 (d + 16) = negative 5
2 answers:
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The list attached shows the coordinate of (x, y) after transformation when reflecting over x, y-axis, and lines y = x, y = -x
<h3>What is geometric transformation?</h3>It is defined as the change in coordinates and the shape of the geometrical body. It is also referred to as a two-dimensional transformation. In the geometric transformation, changes in the geometry can be possible by rotation, translation, reflection, and glide translation.
We have two lines of reflection:
y = x and
y = -x
The point is (x, y)
After reflecting over line y = x the coordinate (x, y) becomes:
(y, x)
After reflecting over the line y = -x the coordinate (x, y) becomes:
(-y, -x)
Thus, the list attached shows the coordinate of (x, y) after transformation when reflecting over x, y-axis, and lines y = x, y = -x
Learn more about the geometric transformation here:
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To calculate the volume of this figure, we just have to find the volume of the hemisphere and the volume of the cone, then sum them up.
The volume of a hemisphere (the half of a sphere) is given by the formula:
Where r is the radius.
The volume of a cone is given by the formula:
Where h is the height of the cone.
From the figure we have:
r = 5.3in
h = 9 in
Then, when we substitute these values into the above formulas, we get:
For the hemisphere:
The volume of the hemisphere is 311.6in^3
For the cone:
As mentioned, the volume of the whole figure is the sum of the volume of the cone and the volume of the hemisphere, then, the volume of the figure is:
V=311.6in^3 + 264.7in^3 = 576.3in^3
Then, the correct answer is option A