Answer:
cos 37=x/b (second one)
sin 37= a/b (third one)
tan 37=a/x (sixth one)
Step-by-step explanation:
Cos is defined by the adjacent side over the hypotenuse. Cos 37 would be x/b. Clearly, that is option 2. Sin is defined by opposite over hypotenuse. Sin 37 would be a/b. That is the 3rd option. Tan is defined by opposite over adjacent. Tan 37 would be a/x or the 6th option.
Answer:
-18
Step-by-step explanation:
Simplify: |3 – 10| – (12 / 4 + 2)^2

Hope this helps!
7 2/3 + 8 5/6 = 16 1/2 ( or 32/2 )
Answer:
x=26
Step-by-step explanation:
The sum of the angles of a triangle add to 180 degrees
(2x-5)° +(4x-1)° + 30° = 180
Combine like terms
6x +24 =180
Subtract 24 from each side
6x+24-24 =180-24
6x = 156
Divide by 6
6x/6 =156/6
x =26
This is a polynomial with more than 2 as a degree. Using Descartes Rule of Signs:
f(x) = x⁶ + x⁵ + x⁴ + 4x³ − 12x² + 12
Signs: + + + + − + 2 sign changes ----> 2 or 0 positive roots
f(−x) = (−x)⁶ + (−x)⁵ + (−x)⁴ + 4(−x)³ − 12(−x)² + 12 f(−x) = x⁶ − x⁵ + x⁴ − 4x³ − 12x² + 12
Signs: + − + − − + 4 sign changes ----> 4 or 2 or 0 negative roots
Complex roots = 0, 2, 4, or 6