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beccahaileyowzryu
10.06.2021 •
Mathematics
How many poles will there be in a stack of telephone piles if there are 58 in the first layer, 57 in the second, 56 in the third, and so on, with 12 in the top layer?
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Ответ:
1,645 poles
Step-by-step explanation:
Here, we want to calculate the total number of poles
We can have an arithmetic progression here
Where the last term is the 58 piles , the first term is the top layer which is 12 and the common difference between the piles is 1
Firstly, we calculate the number of stacks which can be obtained using the nth term formula;
Tn = a + (n-1)d
58 = 12 + (n-1)1
58 = 12 + n - 1
58 = n + 11
n = 58-11
n = 47
So we have the stack high up to 47 units
So, using the sum of terms in an arithmetic sequence formula, we have;
Sn = n/2 ( a + L)
where a is the first term 12 and L is the last term 58
Thus, we have
Sn = 47/2( 12 + 58)
Sn = 47/2 * 70
Sn = 1,645
Ответ:
y = 2x + 5
Step-by-step explanation:
(-5 , -5) & (-1 , 3)
Slope =![\frac{y_{2}-y_{1}}{x_{2}-x_{1}}\\](/tpl/images/1360/0537/ae710.png)
m = 2 & (-5 , -5)
Y -y1 = m(x -x1)
y - [-5] = 2(x - [-5] )
y + 5 = 2 (x + 5)
y+ 5 = 2x + 2*5
y = 2x + 10 - 5
y = 2x + 5