Answer:
7 19/42
Step 1:
Convert the mixed fractions into improper fraction (Denominator will be same)
2x7+2= 16/7
5x6+1=31/6
Step 2:
LCM of 6 and 7 are 42
Step 3:
217+96/42= 313/42
Step 4:
Covert to mixed fraction so the answer is 7 19/42
Let the three gp be a, ar and ar^2
a + ar + ar^2 = 21 => a(1 + r + r^2) = 21 . . . (1)
a^2 + a^2r^2 + a^2r^4 = 189 => a^2(1 + r^2 + r^4) = 189 . . . (2)
squaring (1) gives
a^2(1 + r + r^2)^2 = 441 . . . (3)
(3) ÷ (2) => (1 + r + r^2)^2 / (1 + r^2 + r^4) = 441/189 = 7/3
3(1 + r + r^2)^2 = 7(1 + r^2 + r^4)
3(r^4 + 2r^3 + 3r^2 + 2r + 1) = 7(1 + r^2 + r^4)
3r^4 + 6r^3 + 9r^2 + 6r + 3 = 7 + 7r^2 + 7r^4
4r^4 - 6r^3 - 2r^2 - 6r + 4 = 0
r = 1/2 or r = 2
From (1), a = 21/(1 + r + r^2)
When r = 2:
a = 21/(1 + 2 + 4) = 21/7 = 3
Therefore, the numbers are 3, 6 and 12.
96 can be divided by many number such as 1, 2 , 3 ,4 ,6, 8 ,12, 16, 24, 32, 48.
if a is related to b by some property, and b is related to c by the same property, then a is related to c by that property (Brainliest Answer Will be appreciated:D)
This is a trapezoid. It is a quadrilateral and only has 1 pair of parallel sides
