Answer:
Solution given:
sin y = -4/5
p/h=4/5
p=4
h=5
b=√{5²-4²)=3
cos y = b/h=-3/5
again
cos x=12/13
b/h=12/13
b=12
h=13
p=√(13²-12²)=5
sin x=p/h=5/13
now
sin[x-y]=sinxcosy-cosxsiny
=5/13×-3/5-(12/13×-4/5)=33/65 is your answer.
Answer:
b=-784!
Step-by-step explanation:
If pythagorean theorem is the following (see below), then we can work backwards in order to solve for b!


Now all that's left is to subtract 1225 and we should have our answer!

36 because NQ is 18 and the tic mark means that each half is equal to each other, and 18+18=36 :D
First solve x³=9x

We can ignore x = -3 because it is not in the first quadrant.
<span>So our integral is going to go from x=0 to x=3.
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<span>Now we can use the formula
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![\int\limits_{0}^{3}(\pi (9x)^2-\pi(x^3)^2)dx \\\int\limits_{0}^{3}(\pi (9x)^2-\pi(x^3)^2)dx \\\pi\int\limits_{0}^{3}(81x^2-x^6)dx \\2\times \int\limits_{0}^{3}[\pi(9x)^2-\pi(x^3)^2]dx \\\pi\left[81\frac{x^3}{3}-\frac{x^7}{7}\right]_{0}^{3} \\ \\\frac{2916\pi}{7}](https://tex.z-dn.net/?f=%5Cint%5Climits_%7B0%7D%5E%7B3%7D%28%5Cpi%20%289x%29%5E2-%5Cpi%28x%5E3%29%5E2%29dx%0A%5C%5C%5Cint%5Climits_%7B0%7D%5E%7B3%7D%28%5Cpi%20%289x%29%5E2-%5Cpi%28x%5E3%29%5E2%29dx%0A%5C%5C%5Cpi%5Cint%5Climits_%7B0%7D%5E%7B3%7D%2881x%5E2-x%5E6%29dx%0A%5C%5C2%5Ctimes%20%5Cint%5Climits_%7B0%7D%5E%7B3%7D%5B%5Cpi%289x%29%5E2-%5Cpi%28x%5E3%29%5E2%5Ddx%0A%5C%5C%5Cpi%5Cleft%5B81%5Cfrac%7Bx%5E3%7D%7B3%7D-%5Cfrac%7Bx%5E7%7D%7B7%7D%5Cright%5D_%7B0%7D%5E%7B3%7D%20%5C%5C%20%5C%5C%5Cfrac%7B2916%5Cpi%7D%7B7%7D)
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Answer:
here you are
i hope it helps! :)
Step-by-step explanation: