To get the resultant magnitude and direction of the forces we need to separate the force into its x and y components. For the x components it is the sum of 2000cos(30) and 900cos(45), which is 2368.4469 N. For the y components it will be the sum of 2000sin(30) and -900sin(45), the value for the second force is negative because it is pointing downwards, their sum would be 363.6038 N. The magnitude for the resultant force can be determined using the pythagorean theorem R=sqrt(2368.4469^2 + 363.6038^2) while its direction is found using tan^-1(363.6038/2368.4469). The final answer would be 2396.1946 N with an angle of 8.7279 degrees from the right side of x axis.
Answer:
What do you want to solve for? x or y
Step-by-step explanation:
Answer:
127.53 liters left after 10 minutes
Step-by-step explanation:
Let


Given
--- initial
--- the amount left, after 5 minutes
Required
--- amount left after 5 minutes
To do this, we make use of:

implies that:

Divide both sides by 200

Take natural logarithm of both sides



So, we have:

Divide by 5

So, the function is:


The amount after 10 minutes is:



Answer:
7.35
Step-by-step explanation:
4.25+2.75=7.00 before tax
7.00 x .05=.35 sales tax
7.00+ .35=7.35 total bill