Answer:
Step-by-step explanation:
Component form of a vector is given by 
, where 
represents change in x-value and 
represents change in y-value. The magnitude of a vector is correlated the Pythagorean Theorem. For vector 
, the magnitude is 
.
190 degrees counterclockwise from the positive x-axis is 10 degrees below the negative x-axis. We can then draw a right triangle 10 degrees below the horizontal with one leg being , one leg being , and the hypotenuse of the triangle being the magnitude of the vector, which is given as 9.
In any right triangle, the sine/sin of an angle is equal to its opposite side divided by the hypotenuse, or longest side, of the triangle.
Therefore, we have:
To find the other leg, , we can also use basic trigonometry for a right triangle. In right triangles only, the cosine/cos of an angle is equal to its adjacent side divided by the hypotenuse of the triangle. We get:
Verify that 
Therefore, the component form of this vector is 
Answer:
578.50
Step-by-step explanation:
The worker worked 40 hours at 13 dollars
40 * 13 =520
Then they worked 3 hours at 13(1.5) or 19.50
3*19.50 =58.5
The total amount of money earned is regular time plus overtime
520 + 58.5 =578.50
Answer:
378+567-142÷5= 916.6
456(325-541)÷32= -3078
Step-by-step explanation:
To find the value of x, use Pythagorean theorem which is a to the power of two plus b to the power of two equals the hypotenuse which Is c to the power of two, which you'd value as x. Square root the entire thing and you'll be left with c.
