Forces in direction x:
fx1 = 100 * cos (50) = 64.28
fx2 = 50 * cos (160) = - 46.99
The resultant is:
fx = fx1 + fx2 = 17.29
Forces in direction y:
fy1 = 100 * sine (50) = 76.60
fy2 = 50 * sine (160) = 17.10
The resultant is:
fy = fy1 + fy2 = 93.70
The magnitude of the resulting force is:
f = root (fx ^ 2 + fy ^ 2)
f = root ((17.29) ^ 2 + (93.70) ^ 2)
f = 95.28
The angle is:
theta = atan (fy / fx)
theta = atan (93.70 / 17.29)
theta = 79.55 degrees
Answer:
The direction and magnitude of the resultant force are:
f = 95.28 pounds at theta = 79.55 degrees
Answer: 18
Step-by-step explanation:
The formula to find the minimum sample size is given by :_
, where 
= population standard deviation.
z*= critical z-value.
E= Margin of error.
Given : 
E= ± 8
We know that critical value corresponding to 99% confidence level = z*=2.576 [Using z-table]
Then, the required sample size would be :
[Round to next integer.]
Hence, the required minimum sample size = 18
It would still be 7:2 because when tripled, you triple both numbers, so you get 21: 6, which is the same thing as 7:2, but you just use more. And for ratios, they usually want them to be in simplest form, so it is d) 7:2. The ratio does not change when you triple both sides.
Answer:
Step-by-step explanation:
the first thing you have to do is to get the x and the y axis and add them to then decrease that by o,5 and then you get f of which you multiply it by 2 adn you get your answer.
