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.
Answer:
124 degrees warmer
Step-by-step explanation:
i think
First we need to find the length and width of the rectangle.
As seen from the graph, the length is 4 units and the width of rectangle is 3 units. The triangle ABD is a Right Angled Triangle with side BD as the diagonal. BD is also the hypotenuse of the Right Angled Triangle, so we can find its length using the Pythagorean Theorem.
Using the theorem we can write:
Therefore, the diagonal of the rectangle will be 5 units long.So, the answer is option C
Answer:
Step-by-step explanation:
sin(7y)=cos(5y+14)=sin(90-(5y+14))=sin(76-5y)
7y=76-5y
12y=76
y=76/12=19/3
or
sin(7y)=cos (5y+14)=sin (90+(5y+14))=sin (5y+104)
7y=5y+104
2y=104
y=52
Hey there great to see ya again,
Greatest common factor should be in the blank i believe
I Hope this Helps ☺