A diagonal of a cube measures square root 150cm. the diagonal of a face measures 10cm
1 answer:
Answer: The finial answer is 15.8
This problem is just one about triangles! All of the faces of the cube are perpendicular to their adjacent faces, so the diagonal of one of the face will be a right angle with the edge of the cube. Thus, you can create a right triangle. Finally, use the Pythagorean Theorem to solve for x, the length of the side of the cube.
Step-by-step explanation:
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Part a: Reflecting a point across the x-axis, changes the sign of the y-coordinate.
Part b: Reflecting a point across the y-axis, changes the sign of the x-coordinate.
Part c: Reflecting a point across both the axes, changes the signs of both the coordinates.
Explanation:
Part a: Reflecting a point across the x-axis
The reflection is a transformation of a figure which represents a flip.
The rule for a reflection over the x -axis is given by
Hence, this represents the change of sign of the y-coordinate.
Thus, Reflecting a point across the x-axis, changes the sign of the y-coordinate.
Part b: Reflecting a point across the y-axis
The rule for a reflection over the y -axis is given by
Hence, this represents the change of sign of the x-coordinate.
Thus, Reflecting a point across the y-axis, changes the sign of the x-coordinate.
Part c: Reflecting a point across both the axes
The rule for a reflection across both the axes is given by
Hence, this represents the changes the signs of both the coordinates.
Thus, Reflecting a point across both the axes, changes the signs of both the coordinates.