An alternating series is an infinite series that takes the form:
∑(-1)ⁿa_n
a_n>0 for every value of n. The signs of the general terms alternate between positive and negative.
Thus from the above definition, the series given by <span>2, 3, 6, 8, . . . does not fit the definition of alternating series.</span>
Use pythagorean's theorem to solve for missing sides of a right triangle.
a^2 + b^2 = c^2
a = 11
b = 17
c = We don't know yet so I'll call it x
11^2 + 17^2 = c^2
121 + 289 = c^2
410 = c^2
c = √410
c = 20.2
Thus, the answer is B.
Hope this helps, and May the Force Be With You!
-Jabba
It is 35 degrees a piece. Check the previous answer between both of us for clarification.
Hope I helped!
Good luck!
Answer:
True both are 28/15
Step-by-step explanation:
Simplify the following:
5 + 2/3 - (3 + 4/5)
Put 3 + 4/5 over the common denominator 5. 3 + 4/5 = (5×3)/5 + 4/5:
5 + 2/3 - (5×3)/5 + 4/5
5×3 = 15:
5 + 2/3 - (15/5 + 4/5)
15/5 + 4/5 = (15 + 4)/5:
5 + 2/3 - (15 + 4)/5
15 + 4 = 19:
5 + 2/3 - 19/5
Put 5 + 2/3 - 19/5 over the common denominator 15. 5 + 2/3 - 19/5 = (15×5)/15 + (5×2)/15 + (3 (-19))/15:
(15×5)/15 + (5×2)/15 + (3 (-19))/15
15×5 = 75:
75/15 + (5×2)/15 + (3 (-19))/15
5×2 = 10:
75/15 + 10/15 + (3 (-19))/15
3 (-19) = -57:
75/15 + 10/15 + (-57)/15
75/15 + 10/15 - 57/15 = (75 + 10 - 57)/15:
(75 + 10 - 57)/15
| 7 | 5
+ | 1 | 0
| 8 | 5:
(85 - 57)/15
| 7 | 15
| 8 | 5
- | 5 | 7
| 2 | 8:
Answer: 28/15
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Simplify the following:
1 + 13/15
Put 1 + 13/15 over the common denominator 15. 1 + 13/15 = 15/15 + 13/15:
15/15 + 13/15
15/15 + 13/15 = (15 + 13)/15:
(15 + 13)/15
| 1 | 5
+ | 1 | 3
| 2 | 8:
Answer: 28/15
A mixed number is one that has an integer along with a proper fraction, so that would be (for this improper fraction):
50/12 = 4 1/6
12 goes into 50, 4 times with a remainder of 2
you get: 4 and 2/12, but 2/12 can be reduced further to 1/6
so that's how i got the answer of 4 1/6
