6x=8/1 - 85/8 what is it
1 answer:
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Answer:
7.5 m 457.5
Step-by-step explanation:
First, visualize the original cone and the smaller cone as overlapping similar triangles. The scale factor of the original cone to the smaller cone is 50:40, so if the smaller cone has a radius of 6 m, then the radius of the original cone would be 7.5 m.
The volume of the frustum is the volume of the original cone minus the volume of the smaller cone. The formula for the volume of a cone is V = .
Original Cone = =
= 937.5
Smaller Cone = =
= 480
Frustum = 937.5 - 480
= 457.5
Answer: 12.32%
Step-by-step explanation:
1. is the original long side and
is the original short side.
2. The area of the original rectangle is .
3. The rectangle is extended 4% on the long sides and 8% on the short sides. therefore, the new long side is:
4. And the new short side is:
5. The new area is:
6. The percentage of increase is calculated by substracting the new area and the original area:
7. The result is:
(0.1232)(100)=12.32%