Find the amount of time. 8. I = $2000, P = $5000, r = 8%
1 answer:
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Question:
A prism with a base area of 8 cm² and a height of 6 cm is dilated by a factor of 5/4 .
What is the volume of the dilated prism?
Enter your answer, as a decimal, in the box.
Answer:
The volume of the dilated prism is
Explanation:
A prism with a base area of 8 cm² and a height of 6 cm
The volume of the prism can be determined by the formula,
Volume of the prism is given by
Thus, the volume of the prism is
It is also given that the volume of the dilated prism is dilated by a factor of
Hence, the new volume is given by
Thus, the volume of the dilated prism is
9514 1404 393
Answer:
7 square units
Step-by-step explanation:
There are several ways the area of triangle EBD can be found.
- find the lengths EB, BD, DE and use Heron's formula (messy due to roots of roots being involved).
- define point G at the lower left corner and subtract the areas of ∆DEG and BCD from trapezoid BCGE.
- figure the area from the coordinates of the vertices.
- use Pick's theorem and count the dots.
We choose the latter.
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Pick's theorem says the area of a polygon can be found as ...
A = i + b/2 -1
where i is the number of grid intersection points interior to the polygon, b is the number of grid points intersected by the border.
The attached figure shows the lines EB, BD, and DE intersect one point in addition to the vertices. So, b=4. A count of the red dots reveals 6 interior points (i=6). So, the area is ...
A = 6 + (4/2) -1 = 7
The area of ∆EBD is 7 square units.
