Abeach has two floating docks. one is 650 meters east of the lifeguard stand. the other is 60° southeast and 750 meters from the lifeguard stand.. rounded to the nearest meter, what’s the distance between the docks in meters

we know that

Applying the law of cosines

c²=a²+b²-2*a*b*cos C

in this problem

c> is the the distance between the docks in meters

a> 650 meters

b> 750 meters

C> 60°

substitute in the formula above

c²=650²+750²-2*650*750*cos 60> c²=497,500> c=705.34 m

c=705 meters

therefore

the answer is

the distance between the docks in meters is equal to 705 m

the correct option is:

b. a value of the variable that makes the polynomial equal to zero.

the root or roots of a polynomial are the values of the variable that makes the polynomial equal to 0. we can find the roots of a polynomial making the expression equal to 0 and then, isolating the variable (it it has just one variable).

for example, given the following polynomial:

the root or zero of the polynomial, can be found by making the expression equal to 0, and then, isolating the variable, so, finding the root we have:

therefore, we have that the root of the polynomial is equal to 2.

we must remember that the number of roots that a polynomial can have, will depend on the degree of the polynomial, a first degree polynomial have will have one single root, a second degree polynomial (quadratic expression) may have two roots and so.

hence the correct option is:

b. a value of the variable that makes the polynomial equal to zero.

have a nice day!