Which point is the vertex of the graph defined by f(x) = 6|x − 2| − 5
2 answers:
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Answer:
The ratio for the surface areas is equal to 4
Step-by-step explanation:
step 1
Find the scale factor
we know that
If two figures are similar, then the ratio of its corresponding sides is proportional and this ratio is called the scale factor
Let
z -----> the scale factor
In this problem
The scale factor is equal to
----> the ratio of its corresponding radii or its corresponding altitudes
step 2
Find the ratio for the surface areas of the cones
we know that
If two figures are similar, then the ratio of its surface areas is equal to the scale factor squared
Let
z -----> the scale factor
x ----> the surface area of the larger cone
y ----> the surface area of the smaller cone
we have
substitute
The ratio for the surface areas is equal to 4
That means-----> The surface area of the larger cone is 4 times the surface area of the smaller cone
To find the area of a triangle, the formula is
=A
Since you have the area and the base you can replace the variables and place the numbers into its place.
17.5 =
From here you need to solve for h by first multiplying the (1/2) and 7 which would equal 7/2 or 3.5
Then you would have
17.5 = 3.5(h)
Now you divide both sides by 3.5 which would make h equal to
h=5
Double check and do
which would equal to
All of that equals to 17.5, which is the correct answer so the height is 5m.
Since you have the area and the base you can replace the variables and place the numbers into its place.
17.5 =
From here you need to solve for h by first multiplying the (1/2) and 7 which would equal 7/2 or 3.5
Then you would have
17.5 = 3.5(h)
Now you divide both sides by 3.5 which would make h equal to
h=5
Double check and do
which would equal to
All of that equals to 17.5, which is the correct answer so the height is 5m.