A geometry student named Cornell claims that the two triangles in the diagram below are similar to one another. He asserts that
the LMN is similar to STU because the sides on the bigger triangle are spaced the same as the sides of the smaller triangle.
Explain why Cornell is mistaken in his conclusions about LMN and STU. In writing your response, be sure to explain the concept of proportionality. Also be sure to include important math vocabulary such as
similarity, corresponding sides, and ratios.
Explain why Cornell is mistaken in his conclusions about LMN and STU. In writing your response, be sure to explain the concept of proportionality. Also be sure to include important math vocabulary such as
similarity, corresponding sides, and ratios.
1 answer:
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Answer:
The height of the water is increasing at a rate of 0.05m/min.
Step-by-step explanation:
Volume of a cylinder:
The volume of a cylinder, with radius r and height h, is given by:
Radius 5 m
This means that , and so:
How fast is the height of the water increasing?
We have to differentiate V and h implictly in function of t. So
Being filled with water at a rate of 4 m3/min
This means that . The questions asks
. So
The height of the water is increasing at a rate of 0.05m/min.