The modified area is (1/48) (2πr(4h+3r))
<u>Step-by-step explanation:</u>
Let the radius be 'r' and height be 'h'.
Area of cylinder= 2π r(h+r)
The radius is shrunk down to quarter of its original radius
r = r/4
The height is reduced to a third of its original height
h = h/3
New Area = 2π(r/4) [(h/3) +(r/4) ]
= (1/4)2πr[(4h+3r) /12]
= (1/48) (2πr(4h+3r))
Figure 1 was translated using the rule (x', y') ⇒ (x -9, y + 2) to produce figure 2.
<h3>What is
transformation?</h3>
Transformation is the movement of a point from its initial location to a new location. Types of transformation are t<em>ranslation, reflection, rotation and dilation.</em>
Translation is the movement of a point either up, down, left or right on the coordinate plane.
Figure 1 was translated 9 units left and 2 units up using the rule (x', y') ⇒ (x -9, y + 2) to produce figure 2.
Find out more on transformation at: brainly.com/question/4289712
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I think the best answer is 3 to 9 but thats not a answer so 3 to 6
If the point U is between points T and V, then the numerical length of TV is 29 units
<h3>How to determine the numerical length of segment TV?</h3>
From the question, we have the following lengths that can be used in our computation:
- Length TU = 18 units
- Length UV = 11 units
The above parameters and representations implies that the point U is between endpoints T and V
This also means that the length TV is longer than the other lengths TU and TV
So, we have the following length equation
TV = TU + UV
Substitute the known values in the above equation
So, we have the following equation
TV = 18 + 11
Evaluate the sum of the like terms in the above equation
So, we have the following equation
TV = 29
Hence, the numerical length of segment TV is 29 units
Read more about lengths at
brainly.com/question/19131183
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<u>Possible question</u>
If tu = 18 and uv = 11 what is tv, if point u is between points t and v
Answer:
I'm not sure if this will be able to help, though I found the same question, but answered by someone who is far more advanced with this, and has answered for more questions than I have. Hope this can help, if not please comment, so I can delete.
brainly.com/question/21188240
