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:
n=16
Step-by-step explanation:
Let's solve your equation step-by-step.
12−2(n−1)=−18
Step 1: Simplify both sides of the equation.
12−2(n−1)=−18
12+(−2)(n)+(−2)(−1)=−18(Distribute)
12+−2n+2=−18
(−2n)+(12+2)=−18(Combine Like Terms)
−2n+14=−18
−2n+14=−18
Step 2: Subtract 14 from both sides.
−2n+14−14=−18−14
−2n=−32
Step 3: Divide both sides by -2.
−2n
/−2 = −32
/−2
n=16
The factors of 1078 are 1, 2, 7, 11, 14, 22, 49, 77, 98, 154, 539, and 1078.