Yes there is actually a formula for this. This is an arithmetic progression with a common difference of 1.
The sum of terms can be solved by using the formula
S = (n/2) * (a1 + an)
where S is the sum of the terms
n is the number of terms
a1 is the first term
an is the last term
we can calculate the number of terms, n by using the formula
an = a1 + (n-1)*d
d is the common difference equal to 1
therefore n = 51
substituting to the first equation
S = 2805
If 2 1/2 = 5n then n equals 1/2
Answer:
2091 grams
Step-by-step explanation:
1000 g = 1kg
2*1000 = 2000g + 91g = 2091 g
3/4(2x + 5) = 5(x + 12)
First get rid of any fractions by multiplying my the denominator
4 x 3/4(2x + 5) = 4 x 5(x + 12)
3(2x + 5) = 20(x + 12)
Then get rid of the parentheses
6x + 15 = 20x +240
Then simplify
6x + 15 - 15 = 20x + 240 - 15
6x = 20x + 225
6x - 20x = 20x - 20x + 225
-14x = 225
Now divide on both sides
-14x/-14 = 225/-14
x = -16
Answer:
cos^-1(12/13) = x
Step-by-step explanation:
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