Answer:
a.
b.
Step-by-step explanation:
Hope it is helpful....
10 points please help
1 answer:
Answer:
Step-by-step explanation:
note that
n! = n(n - 1)(n - 2) .... × 3 × 2 × 1
Given
Cancel the terms from 8! ( 5 × 4 × 3 × 2 × 1 ) with the same terms from
5! ( 5 × 4 × 3 × 2 × 1 ) leaving
8 × 7 × 6 = 336 on the numerator
Similarly
Cancel the terms from 9! and 12!
leaving 12 × 11 × 10 = 1320 on the denominator, thus simplifies to
=
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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.