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:
multiply the first equation by -2, then add them
Step-by-step explanation:
7x+4y=-4 *-2 7x+4y=-4 *-2 = -14x-8y=8
5x+8y=28
-14x-8y=8 x=-4, y=6
-9x=36
x=-4
7(-4)+4y=-4
-28+4y=-4
4y=24
y=6
Answer:
x : 32 = 9 : 4
4x = 288
x = 72
Step-by-step explanation:
You could using your slope formula of rise/run, or (y2-y1)/(x2-x1)
