Calculate: 1/(1×3) + 1/(3×5) + ... + 1/(47×49) . Please give explanation

4611/11515

Step-by-step explanation:

1/(1×3)- 1 times 3 simply equals 3. so the answer would be 1/3.

1/(3×5)- 3 times 5 simply equals 15. so the answer would be 1/15.

1/(47×49)- 47 times 49 is 2303. so the answer would be 1/2303.

after all this you find the common deonomator. The common denominator is 34545. 34545 divided by 3 equals to 11515 so you  muliplty that number by 1/3.  34545 divided by 15 equals to 2303 so you  muliplty that number by  1/15.

34545 divided by 2303 equals to 15 so you multiply that number by 1/2303. After adding all that together you get 13833/34545. However after you simplify that number you get 4611/11515

To find missing side lengths in right triangles we use Pythagoras' Theorem which is
a%5E2%2Bb%5E2=c%5E2
where a and b are the lengths of the short sides of the triangle and c is the length of the longest side of the triangle, (this is called the hypotenuse)
So a=8 and b=15. Putting those numbers into the equation gives
8%5E2%2B15%5E2=c%5E2

working out the numbers gives
64%2B225=c%5E2 i.e. c%5E2=289
because we need to find what c is, we need to take the square root of 289
c=sqrt%28289%29
Therefore c = 17.
the pipe needs to be 17 ft long.