Answer:
500 cm
Step-by-step explanation:
100 cm is equal to 1 meter. *5 is 5 meters or 500 cm
Sorry if I'm wrong. I don't think I am but there is always a possibility
Answer: ![R=20.84\ lb\quad 22.57^{\circ},15.43^{\circ}](https://tex.z-dn.net/?f=R%3D20.84%5C%20lb%5Cquad%2022.57%5E%7B%5Ccirc%7D%2C15.43%5E%7B%5Ccirc%7D)
Step-by-step explanation:
Given
Two forces of 9 and 13 lbs acts
angle to each other
The resultant of the two forces is given by
![\Rightarrow R=\sqrt{a^2+b^2+2ab\cos \theta}](https://tex.z-dn.net/?f=%5CRightarrow%20R%3D%5Csqrt%7Ba%5E2%2Bb%5E2%2B2ab%5Ccos%20%5Ctheta%7D)
Insert the values
![\Rightarrow R=\sqrt{9^2+13^2+2(9)(13)\cos 38^{\circ}}\\\Rightarrow R=\sqrt{81+169+184.394}\\\Rightarrow R=\sqrt{434.394}\\\Rightarrow R=20.84\ lb](https://tex.z-dn.net/?f=%5CRightarrow%20R%3D%5Csqrt%7B9%5E2%2B13%5E2%2B2%289%29%2813%29%5Ccos%2038%5E%7B%5Ccirc%7D%7D%5C%5C%5CRightarrow%20R%3D%5Csqrt%7B81%2B169%2B184.394%7D%5C%5C%5CRightarrow%20R%3D%5Csqrt%7B434.394%7D%5C%5C%5CRightarrow%20R%3D20.84%5C%20lb)
Resultant makes an angle of
![\Rightarrow \alpha=\tan^{-1}\left( \dfrac{b\sin \theta}{a+b\cos \theta}\right)\\\\\text{Considering 9 lb force along the x-axis}\\\\\Rightarrow \alpha =\tan^{-1}\left( \dfrac{13\sin 38^{\circ}}{9+13\cos 38^{\circ}}\right)\\\\\Rightarrow \alpha =\tan^{-1}(\dfrac{8}{19.244})\\\\\Rightarrow \alpha=22.57^{\circ}](https://tex.z-dn.net/?f=%5CRightarrow%20%5Calpha%3D%5Ctan%5E%7B-1%7D%5Cleft%28%20%5Cdfrac%7Bb%5Csin%20%5Ctheta%7D%7Ba%2Bb%5Ccos%20%5Ctheta%7D%5Cright%29%5C%5C%5C%5C%5Ctext%7BConsidering%209%20lb%20force%20along%20the%20x-axis%7D%5C%5C%5C%5C%5CRightarrow%20%5Calpha%20%3D%5Ctan%5E%7B-1%7D%5Cleft%28%20%5Cdfrac%7B13%5Csin%2038%5E%7B%5Ccirc%7D%7D%7B9%2B13%5Ccos%2038%5E%7B%5Ccirc%7D%7D%5Cright%29%5C%5C%5C%5C%5CRightarrow%20%5Calpha%20%3D%5Ctan%5E%7B-1%7D%28%5Cdfrac%7B8%7D%7B19.244%7D%29%5C%5C%5C%5C%5CRightarrow%20%5Calpha%3D22.57%5E%7B%5Ccirc%7D)
So, the resultant makes an angle of
with 9 lb force
Angle made with 13 lb force is ![38^{\circ}-22.57^{\circ}=15.43^{\circ}](https://tex.z-dn.net/?f=38%5E%7B%5Ccirc%7D-22.57%5E%7B%5Ccirc%7D%3D15.43%5E%7B%5Ccirc%7D)
Answer:
-1266
Step-by-step explanation:
![(28 \times 5 - 5 \times 190) - 2 \times 228 \\ (140 - 950) - 456 \\ ( - 810) - 456 \\ - 810 - 456](https://tex.z-dn.net/?f=%2828%20%5Ctimes%205%20-%205%20%5Ctimes%20190%29%20-%202%20%5Ctimes%20228%20%5C%5C%20%28140%20-%20950%29%20-%20456%20%5C%5C%20%28%20-%20810%29%20-%20456%20%5C%5C%20%20-%20810%20-%20456)
![= - 1266](https://tex.z-dn.net/?f=%20%3D%20%20-%201266)