Find the missing side. Round to the nearest tenth. The options are 46.4, 34.9, 30.6, and 11.5

34.9 probably.

Step-by-step explanation:

so they think they're pulling a sneaky on us by giving some random values but we know better. we know sin is opposite over hypotenuse and hypotenuse is something we want. we see a given angle with a given opposite and a badly needed hypotenuse so let's use the power of sin on that poor unsuspecting 35 degree angle. let's say sin(35)=20/x but we need to do some algebra voodoo to get that x variable where we want it. isolate x by saying x=20/sin(35). get your calculator unless you're some freaky math genius that knows sin(35) and divide 20 by sin(35) and it's probably close to 34.9 if pythagoras knew anything about triangles but I never met the man

the answer is c hope it

step-by-step explanation:

1. when "a" is a root of a polynomial, (x -a) is a factor of it. for the three roots given, the factors of the desired polynomial are (x +2)(x -1/2)(x -3).

in order to make the leading coefficient be negative, we need to multiply this product by a negative number. any negative number will do, but we choose a small (magnitude) value that will eliminate the fraction: -2.

then

f(x) = -2(x +2)(x -1/2)(x -3) = -(x +2)(2x -1)(x -3)

= -(2x² +3x -2)(x -3)

= -(2x³ -3x² -11x +6)

f(x) = -2x³ +3x² +11x -6

2. a graph created by the desmos on-line graphing calculator is shown, and the zeros are highlighted.

3. as indicated in part 1, the multiplier of this equation can be anything and the zeros will remain the same. you want a negative leading coefficient, so the "anything" is restricted to any of the infinite number of numbers that will make that be the case.