Remember,
sin = op/hyp
cos = adj/hyp
tan = op/adj
For question 3 it would be B and C, because the adjacent side of angle x is 12, the hypotenuse is 37, and cos = adj/hyp. Also, the opposite side of angle z is 12, and the hypotenuse is 37, and sin = op/hyp. So both answers would be 12/37. You would do the same with question 4.
For 5, you would do the same thing. It would be D because you can only take the sin of angle 24, and x is a side. the opposite of 24 is x and the hypotenuse is 11, so sin 24 would be x/11. It is the same for problem 6.
Answer: 
Move all terms containing y to the left, all other terms to the right
<u>Add -14y to each side of the equation</u>
<u></u>
<u></u>
<u></u>
<u>Combine like terms: 5y + -14y = -9y
</u>
<u></u>
<u></u>
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<u>Combine like terms: 14y + -14y = 0
</u>
<u></u>
<u></u>
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<u>Add '20' to each side of the equation</u>
<u></u>
<u></u>
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<u>Combine like terms: -20 + 20 = 0
</u>
<u></u>
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<u>Combine like terms: 7 + 20 = 27
</u>
<u></u>
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<u>Divide each side by -9</u>
<u></u>
<u></u>
Answer:
(-1.6, 0)
(0, 0.8)
Step-by-step explanation:
~You would set up the equation x+(3x+5)=6565
~Combine like products so 3x+x=4x.
~Now you have 4x+5=6565.
~Isolate the variable by subracting the 5 from both sides, so you have 4x=6560.
~Since you multiply x by 4, divide both sides by 4, and 6560 divided by 4 is 1,640.
*The first number is 1,640.
~Now to find the second number you simply plug in 1,640 to (3x+5), with 1,640 being x.
~That would become [3(1,640)+5].
~3 times 1, 640 is 4,920, and add the 5 so you get 4,925.
*The second and larger number is 4,925.
If you wanna check just add the two numbers, and you get 6565.
