Answer:
n(n+1)(n+5)/3
Step-by-step explanation:
there is no value, as we don't know n.
but we can create a summary formula/ function definition :
this is the sum for k = 1 to n of k×(k+3)
k×(k+3) = k² + 3k
so, the overall sum splits into the sum of k² for k=1 to n, and the sum of 3k for k=1 to n.
and the sum of 3k is 3 times the sum of k for k=1 to n.
Σk² for k=1 to n = [n(n+1)(2n+1)]/6
Σk for k=1 to n = n(n+1)/2
3×Σk for k=1 to n = 3×n(n+1)/2
so, we have a function formula
n(n+1)(2n+1)/6 + 3n(n+1)/2 = n(n+1)(2n+1)/6 + 9n(n+1)/6 =
= n(n+1)(2n+1+9)/6 = n(n+1)(2n+10)/6 = n(n+1)(n+5)/3
Answer:
A. 12.6 ft
Step-by-step explanation:
Using sin because of opposite over hypotenuse, you can find x.
sin(52) = x/16
16sin(52) = x
<em>Plug it into your calc.</em>
x = 12.6082
And you have your final answer.
Answer:
V=1,244.071
Step-by-step explanation:
I put the answer in decimal form and rounded up from .0706, but pi form in included in the pic. I hope this helped! Please leave Brainliest if it did and is right.
Step-by-step explanation:
it is because they are mentally disabled initially the Psychopaths but the social part and social
Marcella won't be able to win the competition because the length of the rope is less than 162 feet.
<h3 />
How to find the sides of a right angle triangle?
The situation forms a right angle triangle.
The kite released rope is the hypotenuse side of the triangle formed.
The opposite side of the triangle is the height of the kite from the ground.
Therefore,
sin 28 = opposite / hypotenuse
sin 28 = 75 / h
h = 75 / sin 28
h = 75 / 0.46947156278
h = 159.754085116
h ≈ 160 feet
Therefore, she won't be able to win the competition because the length of the rope is less than 162 feet.
learn more on right triangle here: brainly.com/question/26774610?
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