Two forces with magnitudes of 150 and 75 pounds act on an object at angles of 30° and 150°, respectively. find the direction and magnitude of the resultant force. round to two decimal places in all intermediate steps and in your final answer.

Magnitude= 129.55N

Direction= 60°

Step-by-step explanation:

In order to find the magnitude, we must find the magnitude in both vertical and horizontal direction.

In horizontal direction:

F(x) =150cos30°+ 75cos150°

In vertical direction:

F(x) = 150sin30°+75sin150°

Thus, magnitude is given by: Direction of the force is  

α=60°

Hope this helped :)

b. 6

step-by-step explanation:

we are given the table representing an exponential function.

we can see from the table that, as x is increasing, the value of y is increasing in the power of 6.

i.e. the following relation is obtained,

x = 1, y = 6

x = 2, y = 36 =

x = 3, y = 216 =

x = 4, y = 1296 =

x = 5, y = 7776 =

so, the geometric series obtained is .

thus, the common ratio is given by = = 6.

hence, the common ratio is 6.