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The expression d squared plus 16d plus 48 can be factored as (d + 4)(d + 12).
Alright, well, a few clarifications will be needed, but I'll work under the assumption of both. Is it 48' around, or 48' across? If it is 48' around, we need to find the Radius of the circle. 48 = pi x d 48 = 3.1415 d therefore d = 48 / 3.1415 d = 15.2793 r = 7.6396 Now with that, we can use the radius to define the area. with Area = PIr^2 so it would be : 3.1415 x 7.6396 x 7.6396 = 183.3543 It would have an area of 183.3543 square feet. (Assuming its 48' around) ============================================================= Now for the easy part. If the slab is 48' across, we simply take half of 48 as the radius. 3.1514 x 24 x 24 = 1809.54 So if the slab is 48' across, it'd have an area of 1809.54 square feet
a1 = 8 a9 = 48 so 8*d = 40 so that d = 5 And so a23 = 8 + 5*23 = 8 + 115 = 123
2304Sum of an arithmetic progression = n/2 (2a + (n-1)d) where n is the number of items, a is the first item and d is the difference between them:For the first 48 odd numbers:n = 48a = 1d = 2→ sum = 48/2 (2 x 1 + (48 - 1) x 2)= 482= 2304The sum of the first n odd numbers is always n2
d = r x 2: 2 x 48m = 96m