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KonstantinChe [14]
4 years ago
10

what is the vertical height of interverted cone with the diameter of 6 cm and the slant height of 6cm?

Mathematics
1 answer:
den301095 [7]4 years ago
6 0

"interverted" or "inverted?"

The vertical height of an inverted cone with base diameter 6 cm and slant height of 6 cm can be found using the Pyth. Thm. Draw or imagine a triangle whose height is h and whose base is 3 cm (not 6) and whose hypotenuse is 6 cm.

Then h^2 + (3 cm)^2 = (6 cm)^2, or h^2 + 9 cm^2 = 36 cm^2, or h^2 = 27 cm^2.

Then the height of the triangle, as well as of the cone, is h = +√27, or

h = +3√3.

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Below are two different functions, f(x) and g(x). What can be determined about their slopes?
worty [1.4K]
<h3>Answer: B) the function g(x) has a larger slope</h3>

===================================================

Explanation:

The slope of f(x) is 4, since the equation y = 4x+2 has slope m = 4. Compare this to y = mx+b.

The slope of g(x) is 5. Note how if we started at (0,-2) on the red line and moved up 5 and to the right 1, we arrive at (1,3) which is another point on the red line. You could use the slope formula

m = (y2-y1)/(x2-x1)

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Since the slope of f(x) is 4 and the slope of g(x) is 5, we see that g(x) has a larger slope. The g(x) line is steeper compared to f(x).

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3 years ago
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Viktor [21]

Answer:

Step-by-step explanation:

length = 6 x 1/3 = 2 inches

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Another approach is the following:

 

There are 6 x 4 x 8 = 192 cubes inside the prism,

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Therefore total volume = 192 x 1/27 = 192/27 = 9

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