The absolute difference between the greatest and the least of these three numbers in the arithmetic sequence is 10.
The sequence is an arithmetic sequence. Therefore,
d = common difference
let
a = centre term
Therefore, the 3 consecutive term will be as follows
a - d, a, a + d
a - d + a + a + d = 27
3a = 27
a = 27 / 3
a = 9
Therefore,
(a-d)² + (a)² + (a + d)² = 293
(a²-2ad+d²) + 9² + (a² + 2ad + d²) = 293
(81 - 18d + d²) + 81 + (81 + 18d + d²) = 293
243 + 2d² = 293
2d² = 50
d² = 50 / 2
d = √25
d = 5
common difference = 5
Therefore, the 3 numbers are as follows
9 - 5 , 9, 9 + 5 = 4, 9, 14
The difference between the greatest and the least of these 3 numbers are as follows:
14 - 4 = 10
learn more on Arithmetic progression: brainly.com/question/25749583?referrer=searchResults
Area of the cross section (Trapezium) :
1/2 (6 + 11) x 3 = 25.5 cm²
Volume = area x height = 25.5 x 3 = 76.5 cm³
X=3%h I think I'm not to sure hope that helped! Good Luck!!!
Answer:
less than 55 minutes
Step-by-step explanation:
11 laps at 5 minutes per lap is 55 minutes.
Since she will run fewer than 11 laps, she will run less than 55 minutes.
