The first triangle is dilated to form the second triangle. What id the scale factor?
1 answer:
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Answer:
NO
Step-by-step explanation:
Look at the figure attached below, we know that the area of the cone is the sum of area of circle part and cone part of the figure.
to find the surface area of the cone, first measure the radius of the base and find the area of the circle part by formula . Then measure the side (slant height) length of the cone part and find the area of the cone part by the formula
.
Now the surface area of the cone is circumference of the circle plus area of the cone part.
i.e.
From the above discussion we concluded that surface area of the cone does not depend only on the circumference of the base but also we need side length of the cone part as well thus <em>all cones with a base circumference of 8 inches will </em><em>not </em><em>have the same surface area.</em>
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I assume there are some plus signs that aren't rendering for some reason, so that the plane should be 
.
You're minimizing
subject to the constraint 
. Note that 
and 
attain their extrema at the same values of 
, so we'll be working with the squared distance to avoid working out some slightly more complicated partial derivatives later.
The Lagrangian is
Take your partial derivatives and set them equal to 0:
Adding the first three equations together yields
and plugging this into the first three equations, you find a critical point at
.
The squared distance is then
, which means the shortest distance must be 
.
You're minimizing
The Lagrangian is
Take your partial derivatives and set them equal to 0:
Adding the first three equations together yields
and plugging this into the first three equations, you find a critical point at
The squared distance is then