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yep ive been in the singles club for a long time and not leaving any time soon

Happy Valentine's day to all of you!! In the singles club again this year, lol. Best wishes for a good holiday.

Angle ABD = 180 - 35 = 145º

Angle ADB = 180 - (145+16) = 19º

Using the sine rule:  BD/sin(16) = 950/sin(19) = ...

Then DC = BDsin(35) = ...

I’ll leave you to fill in the blanks.

DC= 461.33m

as this is a right triangle

Almost 60 answers... jeez

Right back at ya ILP 

thank you 

They are great! 

Thanks!!!!!!!

Did u figure it out 

Thanks even tho im new this is a great comunity

Happy Valentines Day to you too. 

right back at ya kiddo

we all remember that old ad

Wise Old Owl says   : "Three"

They do not need MULTIPLE  gears like a gasoline/deisel powered car.  The have torque available all all motor RPMs and have but a single SPEED REDUCTION gear in the drivetrain. (Much like some airplanes have for the propeller so it spins at a lower speed than the direct engine RPM.... PSRU  Propeller Speed Reduction Unit)

873 i did it myself

\(4(2-3w)(w^2-2w+10)\\ =(8-12w)(w^2-2w+10)\\ =8(w^2-2w+10) - 12w(w^2-2w+10)\\ =8w^2-16w+80-12w^3+24w^2-120w\\ =-12w^3+32w^2-136w+80\)

\((1-2n)^3 - 7n(n^2-2)\\ = (1-2n)(1-2n)^2 -7n^3+14n\\ =(1-2n)(1-4n+n^2)-7n^3+14n\\ =(1-4n+n^2)-2n(1-4n+n^2)-7n^3+14n\\ =1-4n+n^2-2n+8n^2-2n^3-7n^3+14n\\ =1+(-4n-2n+14n)+(n^2+8n^2) + (-2n^3-7n^3)\\ =-9n^3+9n^2+8n+1\)

\((2a^2b-5b^3+4a^4b^2)-(7b^3+8a^4b^2-7a^2b)\\ =(2a^2b-5b^3+4a^4b^2)-7b^3-8a^4b^2+7a^2b\\ =(4a^4b^2-8a^4b^2)+(-5b^3-7b^3)+(2a^2b+7a^2b)\\ =-4a^4b^2-12b^3+9a^2b\)

First find f^-1(x).

\(x = 5f^{-1}(x)-12\\ f^{-1}(x) = \dfrac{x+12}{5}\).

Equate this to f(x+1), which is 5(x+1)-12.

\(\dfrac{x+12}{5}=5x-7\\ x+12 = 25x-35\\ 24x=47\\ x = \dfrac{47}{24}\)

Check if the middle term can be expressed as 2(square root of first term)(square root of second term).

If yes, then it is a perfect square. You just take (square root of first term +/- square root of second term)^2 as your answer.

\(\quad a^2 + 4ab + 4b^2\\ = a^2 + 2(a)(2b) + (2b)^2\\ = (a + 2b)^2\)

\(\quad x^2 - 6xy + 9y^2\\ = x^2 -2(x)(3y) + (3y)^2\\ = (x - 3y)^2\)

In some programming languages like C, C++, Java, '%' means modulus.

Assuming % means modulus here: 23 % 123 = 23.