Evaluate the following geometric series
1 answer:
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Answer:
The scale factor from Figure A to Figure B is 1/2
Step-by-step explanation:
<u><em>The correct question is</em></u>
Figure B is a scaled copy of Figure A.
What is the scale factor from Figure A to Figure B?
The picture in the attached figure
we know that
A dilation is a non rigid transformation that produce similar figures
If two figures are similar, then the ratio of its corresponding sides is proportional
In this problem Figure A and Figure B are similar
so
To find out the scale factor, determine the ratio of its vertical corresponding sides
The vertical side of figure A is 4 units
The corresponding side in figure B is 2 units
The scale factor is less than 1
so
The dilation is a reduction
therefore
The scale factor from Figure A to Figure B is 1/2
Answer:
Label: About 527.9 square centimeters
Aluminum: About 835.7 square centimeters
Step-by-step explanation:
Amount of paper needed for the label:
You can imagine taking off the label and unrolling it, forming a rectangle. The height of this rectangle will be the height of the cylinder, while the length of the rectangle will be the circumference of the cylinder. Therefore, the area of that rectangle will be .
Amount of aluminum needed for the can:
This time, you need to add in the top and bottom of the can as well, which each have area . Together, they have area
. Adding this to the area of the sides, you get a total of about 835.7 square centimeters.
Hope this helps!