#2:
Find the total surface area of the capped cylinder.
2 times the area of the base would be 2[pi*(3 cm)^2, or 18pi.
The circumference of the base is C = 2pi*r, which here is 6pi.
The area of the sides is C times height, or 6pi*(11 cm) = 66pi cm^2
Add this to the 18pi cm^2 previously found.
Total area of cylinder, including top and bottom, is 84 cm^2.
Please note that dilation does not affect angles. Thus, if an image is dilated the angle remains the same and does not change.
Therefore, even if
is dilated to
by a factor of 1.5 (or by any factor for that matter), the linear dimensions of the original triangle
will either get stretched or get shrunk by a factor of 1.5 but the angles of the original triangle will not be affected in any case.
Please note that this is true for all two dimensional geometric shapes.
Answer:
3
Step-by-step explanation:
AB = 1 unit
A'B' = 3 units
The scale of dilation = A'B'/AB
Therefore:
scale of dilation = 3 units / 1 unit = 3
This means that ABC was dilated or enlarged in size by multiplying every of its segment by 3. In essence, A'B'C' is 3 times the size of ABC.
Answer:
Hey there!
(2p - 3)(4p2 + 6p + 9) is equal to 8p^3+27. This is just a sum of cubes!
Let me know if this helps :)