I) HCF - use the smallest powers of each common factors
HCF (A,B) = 2^2 × 3^4 × 5^2
LCM - use the highest powers of each factors
LCM (A,B) = 2^4 × 3^6 × 5^2 × 7^2 × 11^16
ii) Add powers together.
A×B = 2^6 × 3^10 × 5^4 × 7^2 × 11^16
sqrt(A × B)
Divide powers by 2.
sqrt(A × B) = 2^3 × 3^5 × 5^2 × 7 × 11^8
iii) C = 3^7 × 5^2 × 7
Ck = (3^7 × 5^2 × 7) × k
B/c Ck should be a product that is a perfect cube, the powers of the products should be divisible by 3.
(3^7 × 5^2 × 7) × k = 3^9 × 5^3 × 7^3
k = (3^9 × 5^3 × 7^3) / (3^7 × 5^2 × 7)
k = 3^(9-7) × 5^(3-2) × 7^(3-1)
k = 3^2 × 5 × 7^2
Answer:
Step-by-step explanation:
Answer:
The mean would increase
Step-by-step explanation:
The other factors would not really happen due to the relative closeness of the outlier and the rules of statistics
Sum of interior angle of polygon: S = (n-2) * 180°,
where n is number of sides and where S is total degrees.
With 6 sides, n = (6-2)*180 = 720°
Then set all of the interior equations equal to the sum, or
720 = 5x + 4x+2 + 5x+6 + 2x-2 + 3x+5 + x-10
720 = 20x + 1
719 = 20x
x =
= 35.95