Answer:
If 
, the slang height of the cone is approximately 23.521 inches.
Step-by-step explanation:
The surface area of a cone (A) is given by this formula:
Where:
- Base radius of the cone, measured in inches.
- Slant height, measured in inches.
In addition, the slant height is calculated by means of the Pythagorean Theorem:
Where 
is the altitude of the cone, measured in inches. If , then:
And:
Given that 
, the following second-order polynomial is obtained:
Roots can be found by the Quadratic Formula:
As radius is a positive unit, the first root is the only solution that is physically reasonable. Hence, the slang height of the cone is approximately 23.521 inches.
Answer:
In the Pythagorean theorem the two shortest sides must always be substituted for the side legs, not the hypotenuse
Step-by-step explanation:
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Answer: area of the shape is 180m2 (2 means squared)
F(x) = 6x + 11
g(x) = x + 6
f[g(x)] = f(x + 6) = 6(x + 6) + 11 = 6x + 36 + 11 = 6x + 47
f[g(x)] = 6x + 47
