1st hen =6x
2nd hen =7y
1st hen is greater than 2nd
so you get 6x > 7y
You have a right triangle here so we are going to use a trig identity to solve for y. Y is the side opposite the angle given to us, and then we also have the hypotenuse. Opposite / hypotenuse tells us that we have to use the sin ratio to find y.
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In order to isolate the y, we will multiply both sides by 37 to get
37sin(52)=y. We can do this on our calculator in degree mode and will get that y = 29.156 inches
X^2 + 3x - 10 = 0
(x + 5)(x - 2) = 0
one solution is x = 2
2(10.8) = 21.6
2(8.3) = 16.6
21.6 + 16.6
Answer: 38.2
8x^3 + 1 = 0
8x^3 = -1 <----------- Step 1: Subtract 1 from both sides.
x^3 = -1/8 <----------- Step 2: Divide both sides by 8.
x = ∛(-1/8) <----------- Step 3: Cube root both sides
x = -0.5 <----------- This is the final answer when you plug the last step into the calculator