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:
m > 1
Step-by-step explanation:
Minus 6 from both side
m = 1
Answer:
150 pens
Step-by-step explanation:
1. 75% = 0.75
2. 200 * 0.75 = 150 pens
3/12 is a rational number because rational numbers can be written in the form of a/b
When you simplify 3/12, you get 1/4, which is a fraction
Answer:
y = -3 when x = 4
Step-by-step explanation:
2x-4y = 20
x = 4
2(4) - 4y = 20
8 - 4y = 20
-4y = 12
y = -3
