Use Hooke's law... (just kidding)
Break down each force vector into horizontal and vertical components.
![\vec F_1=(1000\,\mathrm N)(\cos30^\circ\,\vec x+\sin30^\circ\,\vec y)\approx(866.025\,\mathrm N)\,\vec x+(500\,\mathrm N)\,\vec y](https://tex.z-dn.net/?f=%5Cvec%20F_1%3D%281000%5C%2C%5Cmathrm%20N%29%28%5Ccos30%5E%5Ccirc%5C%2C%5Cvec%20x%2B%5Csin30%5E%5Ccirc%5C%2C%5Cvec%20y%29%5Capprox%28866.025%5C%2C%5Cmathrm%20N%29%5C%2C%5Cvec%20x%2B%28500%5C%2C%5Cmathrm%20N%29%5C%2C%5Cvec%20y)
![\vec F_2=(1500\,\mathrm N)(\cos160^\circ\,\vec x+\sin160^\circ\,\vec y)\approx(-1409.54\,\mathrm N)\,\vec x+(513.03\,\mathrm N)\,\vec y](https://tex.z-dn.net/?f=%5Cvec%20F_2%3D%281500%5C%2C%5Cmathrm%20N%29%28%5Ccos160%5E%5Ccirc%5C%2C%5Cvec%20x%2B%5Csin160%5E%5Ccirc%5C%2C%5Cvec%20y%29%5Capprox%28-1409.54%5C%2C%5Cmathrm%20N%29%5C%2C%5Cvec%20x%2B%28513.03%5C%2C%5Cmathrm%20N%29%5C%2C%5Cvec%20y)
![\vec F_3=(750\,\mathrm N)(\cos195^\circ\,\vec x+\sin195^\circ\,\vec y)\approx(-724.444\,\mathrm N)\,\vec x+(-194.114\,\mathrm N)\,\vec y](https://tex.z-dn.net/?f=%5Cvec%20F_3%3D%28750%5C%2C%5Cmathrm%20N%29%28%5Ccos195%5E%5Ccirc%5C%2C%5Cvec%20x%2B%5Csin195%5E%5Ccirc%5C%2C%5Cvec%20y%29%5Capprox%28-724.444%5C%2C%5Cmathrm%20N%29%5C%2C%5Cvec%20x%2B%28-194.114%5C%2C%5Cmathrm%20N%29%5C%2C%5Cvec%20y)
The resultant force is the sum of these vectors,
![\vec F=\displaystyle\sum_{i=1}^3\vec F_i\approx(-1267.96\,\mathrm N)\,\vec x+(818.916\,\mathrm N)\,\vec y](https://tex.z-dn.net/?f=%5Cvec%20F%3D%5Cdisplaystyle%5Csum_%7Bi%3D1%7D%5E3%5Cvec%20F_i%5Capprox%28-1267.96%5C%2C%5Cmathrm%20N%29%5C%2C%5Cvec%20x%2B%28818.916%5C%2C%5Cmathrm%20N%29%5C%2C%5Cvec%20y)
and has magnitude
![|\vec F|\approx\sqrt{(-1267.96\,\mathrm N)^2+(818.916\,\mathrm N)^2}\approx1509.42\,\mathrm N](https://tex.z-dn.net/?f=%7C%5Cvec%20F%7C%5Capprox%5Csqrt%7B%28-1267.96%5C%2C%5Cmathrm%20N%29%5E2%2B%28818.916%5C%2C%5Cmathrm%20N%29%5E2%7D%5Capprox1509.42%5C%2C%5Cmathrm%20N)
The closest answer is D.
Answer:
Isaac has $4.80 left
Step-by-step explanation:
$1.20 + 2.00 = 3.20
$8.00 - 3.20 = 4.80
15.8 I believe. Since 20 isn’t a option 15 is the closest. Good luck I have good faith I have you the right answer
Options :
y – 8 = –0.15(x – 10)
y + 8 = –0.15(x – 10)
y – 8 = –0.2(x + 10)
y + 8 = –0.2(x – 10)
Answer:
y – 8 = –0.2(x + 10)
Step-by-step explanation:
(-10, 8)
General equation in point - slope form:
y - y1 = m(x - x1)
m = slope
Given the points : ( - 10, 8)
x1= - 10 ; y1 = 8
y - y1 = m(x - x1)
Substitute the values of x and y into the equation :
y - 8 = m(x - - 10)
y - 8 = m(x + 10)
The best option which fits is :
y – 8 = –0.2(x + 10)