![sanam3035](/avatars/28727.jpg)
sanam3035
29.08.2019 •
Mathematics
Let a_1, a_2, a_12 be twelve equally spaced points on a circle with radius 1. find (a_1 a_2)^2 + (a_1 a_3)^2 + + (a_11 a_12)^2. (the sum includes the square of the distance between any pair of points, so the sum includes 12choose2 = 66 terms.)
Solved
Show answers
More tips
- F Food and Cooking How to Make Cottage Cheese Casserole? A Proven Recipe...
- L Leisure and Entertainment How to Solve a Rubik s Cube Easily and Quickly...
- H Health and Medicine Want to Lose Weight? Gain Muscle without Damaging Your Health!...
- F Family and Home Parquet or laminate, which is better?...
- L Leisure and Entertainment How to Properly Wind Fishing Line onto a Reel?...
- L Leisure and Entertainment How to Make a Paper Boat in Simple Steps...
- T Travel and tourism Maldives Adventures: What is the Best Season to Visit the Luxurious Beaches?...
- H Health and Medicine Kinesiology: What is it and How Does it Work?...
- O Other How to Choose the Best Answer to Your Question on The Grand Question ?...
- L Leisure and Entertainment History of International Women s Day: When Did the Celebration of March 8th Begin?...
Answers on questions: Mathematics
- M Mathematics Find the perimeter of this semi-circle with diameter, d = 23cm. Give your answer rounded to 1 DP....
- M Mathematics Flaming BBQ Restaurant makes dipping sauce with 9 mL of hot sauce for every 6 ounces of barbecue sauce. Which of the following mixtures will taste the same as Flaming BBQ s dipping...
- M Mathematics 1.3.4 Practice Modeling: Solving Linear Equation...
- M Mathematics Find the Autocorrelation function of the following periodic function: X(t) = A sin(wt +θ) 21 With T=2π/w the period, A, θ, and w are constants....
- M Mathematics Define the following term decimal...
- M Mathematics Candy is sold 5 pieces for $2.50. What is the unit rate cost per piece of candy...
- M Mathematics 8 times 10 to the power of 5 is how many as great as 8 times 10 to the power of -1...
- M Mathematics Sam had 225 dollars to spend on 8 books. After buying them he had 17 dollars. How much did each book cost?...
- M Mathematics When you roll a dice you are more likely to get a 2 than a 6...
- M Mathematics We hat does (-9) mean...
Ответ:
So, for any
The distance between two points
We're interested in all the possible distinct pairings, which means
Then the sum we're interested in finding is
where this sum is identical to the one in your original question, except the indices of each point are shifted down by one.
We have
So we can express the sum as
For example, if we take
In terms of our sum, we would add
as required.
This was just an example to convince you that the formula works.
For
Ответ:
Yes
Step-by-step explanation:
13 is awesome and that,s logic!!