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:
There are no real roots for this equation.
Step-by-step explanation:
The only solution is irrational: x-√(4-8x)=0
I have provided a graph to help you with this problem.
Hope this helps! :)
Answer:
4.68
Step-by-step explanation:
Answer:
<u>The number of associates = 6 and the number of partners = 4</u>
Step-by-step explanation:
let the number of associates = x
let the number of partners = y
The law firm assigned a total of 10 lawyers
∴ x + y = 10
∴ y = 10 - x ⇒ (1)
$8000 per day charged for these lawyers, The daily rate charged to the client for each associate is $600 and the daily rate for each partner is $1100.
∴ 600x + 1100 y = 8000 ⇒ (2)
By substitute from (1) at (2)
600 x + 1100 (10 - x) = 8000
solve for x
600 x + 11000 - 1100 x = 8000
-500 x = -3000
x = -3000/-500 = 6
At (1) to find y
y = 10 - 6 = 4
<u>So, the number of associates = 6 and the number of partners = 4</u>
