Answer:
1275
Step-by-step explanation:
This is an arithmetic series. The formula for this is Sₙ = (n/2)(a₁ +aₙ)d. a₁ is the first term, so here it is 1, and aₙ is the nth term, or the last term, which is 50 here, but we don't know n.
Now we have to use the equation for an arithmetic sequence to solve for n. A sequence would just be if there was not a last number and it went on forever. that equation looks like aₙ = a₁ + (n - 1)d. Now the only new variable is d, which is the common difference. You can find that by subtracting one term from the term before it, like 2-1 = 1, so d is 1.
We can now solve for n by plugging our numbers into the second equation, so 50 = 1 + (n - 1)1, we can distribute the 1 and to (n-1) and get 50 = 1 + n - 1. Now the ones will cancel and we are left with n = 50
Finally we can plug everything into our original equation and find Sₙ = (50/2)(1+50), which simplifies to Sₙ = 25(51), and Sₙ = 1275.
2/3 = 0.6667 round up = 0.7
Answer is B. 0.7 repeating
Hope it helps
Answer:
HL
Step-by-step explanation:
PQ = PR {hypotenuse}
PS = PS {Reflexive property, PS is the leg of the both triangles}
∠PSQ = ∠PSR = 90
So, HL postulate
Answer:
36 hours.
Step-by-step explanation:
There is 24 hours in a day therefore,
24 x 3 = 72 This is how many hours are in 3 days
72 ÷ 2 = 36 Therefore there are 36 hours in 3 1/2 days
Hope this helps.
-Conrad
Answer:when you simplify √55 you get
7.41619848.....
the integer closest to 7.41619848... is 7
So the answer is 7
