Sara claims that a sequence of transformations carries rectangle 1 onto rectangle 2. Which of the following sequences of transfo
rmations can be used to support Sara’s claim?
Answer choices
A.) A reflection over the Y axis followed by a reflection over the X axis.
B.) A translation of 7units to the left, followed by a translation of 8
units up.
C.) A reflection of the X-axis, followed by translation of 4 units to the right.
D.) A rotation of 270° clock wise about the origin, followed by a reflection over the y-axis
Answer choices
A.) A reflection over the Y axis followed by a reflection over the X axis.
B.) A translation of 7units to the left, followed by a translation of 8
units up.
C.) A reflection of the X-axis, followed by translation of 4 units to the right.
D.) A rotation of 270° clock wise about the origin, followed by a reflection over the y-axis
1 answer:
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Answer:
The change in the volume of a sphere whose radius changes from 40 feet to 40.05 feet is approximately 1005.310 cubic feet.
Step-by-step explanation:
The volume of the sphere (), measured in cubic feet, is represented by the following formula:
Where is the radius of the sphere, measured in feet.
The change in volume is obtained by means of definition of total difference:
The derivative of the volume as a function of radius is:
Then, the change in volume is expanded:
If and
, the change in the volume of the sphere is approximately:
The change in the volume of a sphere whose radius changes from 40 feet to 40.05 feet is approximately 1005.310 cubic feet.