How do you multiply 9.4 by 7.85 with work shown
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We know the width of the rectangle in the middle of the trapezoid is 24 (from the top of the image), so we can subtract that from the bottom width of the trapezoid to get the combined length of the bottom of both triangles.
Since this is an isosceles trapezoid, both triangle bases are the same length, so we can cut this value in half to get the length of and
Finally, we can use the Pythagorean Theorem to find the length of :
If is a number that is both divisible by 4 and 5, then
4 and 5 are coprime, so we can use the Chinese remainder theorem to solve this system and find that is a solution to the system, where
is any integer. Simply put, any multiple of 20 fits the bill.
Now, there are 11 numbers between 100 and 300 that are divisible by 20 (100, 120, 140, and so on). We have when
, so the sum we want to compute is