Answer:
Step-by-step explanation:
Example Equation of an ellipse with horizontal major axis with center at (0,0):
x%5E2%2Fa%5E2%2By%5E2%2Fb%5E2=1
For given problem:
b=20
b^2=400
a=30
a^2=900
equation: x%5E2%2F900%2By%5E2%2F400=1
y%5E2%2F400=1-x%5E2%2F900
Set up an automatic transfer from her checking to savings account once a month.
Answer:
Maybe three
Step-by-step explanation:
Im not sure
Answer:
The magnitude of the resultant force is:
![R=100.3 \:pound](https://tex.z-dn.net/?f=R%3D100.3%20%5C%3Apound)
The direction is:
![\theta=1.2^{\circ}](https://tex.z-dn.net/?f=%5Ctheta%3D1.2%5E%7B%5Ccirc%7D)
Step-by-step explanation:
Let's find the components of each vector is x and y-directions first.
<u>Sum of x-component vector forces.</u>
![F_{tot-x}=F_{1}cos(45)+F_{2}cos(30)](https://tex.z-dn.net/?f=F_%7Btot-x%7D%3DF_%7B1%7Dcos%2845%29%2BF_%7B2%7Dcos%2830%29)
![F_{tot-x}=50cos(45)+75cos(30)](https://tex.z-dn.net/?f=F_%7Btot-x%7D%3D50cos%2845%29%2B75cos%2830%29)
![F_{tot-x}=100.3 \: pound](https://tex.z-dn.net/?f=F_%7Btot-x%7D%3D100.3%20%5C%3A%20pound)
<u>Sum of y-component vector forces.</u>
![F_{tot-y}=-F_{1}sin(45)+F_{2}sin(30)](https://tex.z-dn.net/?f=F_%7Btot-y%7D%3D-F_%7B1%7Dsin%2845%29%2BF_%7B2%7Dsin%2830%29)
![F_{tot-y}=-50sin(45)+75sin(30)](https://tex.z-dn.net/?f=F_%7Btot-y%7D%3D-50sin%2845%29%2B75sin%2830%29)
The magnitude of the resultant force is:
![R=\sqrt{100.3^{2}+2.1^{2}}](https://tex.z-dn.net/?f=R%3D%5Csqrt%7B100.3%5E%7B2%7D%2B2.1%5E%7B2%7D%7D)
![R=100.3 \:pound](https://tex.z-dn.net/?f=R%3D100.3%20%5C%3Apound)
The direction is:
![tan(\theta)=\frac{2.1}{100.3}](https://tex.z-dn.net/?f=tan%28%5Ctheta%29%3D%5Cfrac%7B2.1%7D%7B100.3%7D)
![\theta=arctan(\frac{2.1}{100.3})](https://tex.z-dn.net/?f=%5Ctheta%3Darctan%28%5Cfrac%7B2.1%7D%7B100.3%7D%29)
![\theta=1.2^{\circ}](https://tex.z-dn.net/?f=%5Ctheta%3D1.2%5E%7B%5Ccirc%7D)
I hope it helps you!
Answer:
4:10=2:5
Step-by-step explanation: