Answer:
x = 14
Step-by-step explanation:
5x - 40 = 30
+40 +40
5x = 70
divide by 5 on both sides
x= 14
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:
3) D
4) C
Step-by-step explanation:
1/2 + 1/4 = 3/4
17.6-4.4 = 13.2
Answer:
y= -7 and x= -1
Step-by-step explanation:
To do this, line up the variables so it looks like this...
y-6x=-1
y-3x=-4
The reason why -6x and -3y changes to negative is because that it moved to the other side of the equation.
distribute negative to the bottom equation because the two equations have the same number variable which is y...
y-6x=-1
-y+3x=4
Y cancels out and it will be left with -3x = 3.
X = -1.... plug that in to any of the two equation and you get y = -7.
Hope I helped and have a nice day!!
Answer:
{-8+5/7a} to {-4+6/8b}
Step-by-step explanation: