Answer:
336 ways ;
56 ways
Step-by-step explanation:
Number of ways to have the officers :
Number of qualified candidates, n = 8
Number of officer positions to be filled = 3
A.)
Using permutation (since the ordering matters):
nPr = n! ÷(n-r)!
8P3 = 8! ÷ (8-3)!
8P3 = 8! ÷ 5!
8P3 = (8*7*6)
8P3 = 336 ways
B.) Different ways of appointing committee: (ordering doesn't count as officers can also be appointed)
Using the combination relation :
nPr = n! ÷(n-r)!r!
8C3 = 8! ÷ (8-3)! 3!
8C3 = 8! ÷ 5!3!
8C3 = (8*7*6) ÷ (3*2*1)
8C3 = 336 / 6
8C3 = 56 ways
46$ do the division. god bless
Answer:
i am good up to geometry
Step-by-step explanation:
Answer:
1. V(12) = $ 1200
2. V(20) = $ 4800
Step-by-step explanation:
The following data were obtained from the question:
V(t) = 150 × 2ᵗ/⁴
V(12) =?
V(20) =?
1. Determination of V(12)
Time (t) = 12 years
V(12) =?
V(t) = 150 × 2ᵗ/⁴
V(12) = 150 × 2¹²/⁴
V(12) = 150 × 2³
V(12) = 150 × 8
V(12) = $ 1200
2. Determination of V(20)
Time (t) = 20 years
V(20) =?
V(t) = 150 × 2ᵗ/⁴
V(20) = 150 × 2²⁰/⁴
V(20) = 150 × 2⁵
V(20) = 150 × 32
V(20) = $ 4800
Given:
Area of polygon = 484 cm²
apothem 12.1 cm
sides of length = 10 cm
no. of sides = x
Area of a regular polygon = 1/2 perimeter * apothem
484 cm² = 1/2 * (10cm * x) * 12.1cm
484 cm² = 6.05cm * 10cm * x
484 cm² = 60.5 cm² * x
484 cm² ÷ 60.5 cm² = x
8 = x
The polygon is an OCTAGON. It has 8 sides.
Perimeter = 10 cm * 8 sides = 80 cm
484cm² = 1/2 * 80cm * 12.1 cm
484cm² = 1/2 * 968 cm²
484 cm² = 484 cm²