Answer: Answer:
1) LSM.
2)complementary angles
3)*linear pair
Step-by-step explanation:
1) Vertical angles are formed on opposite side at the intersection of two lines .In the given figure the angle vertical to OSN is LSM and hence they are vertical pair.
2) The pair of angles LSM and SMN are neither adjacent angles nor linear pair or vertical angles .Hence we can call them complementary angles.Complementary angles are one which add to 90 degrees.
3) The angle pair are NSM and MSL lie on a straight line and hence are called linear pair.
Answer:
The answer is going to be C.
Step-by-step explanation:
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The standard deviation of the population function is 2
<h3>How to determine the standard deviation?</h3>
The given parameters are:
M(x) = 2
M(x²)=8
The standard deviation is calculated using:
![\sigma = \sqrt{M(x^2) - (M(x))^2](https://tex.z-dn.net/?f=%5Csigma%20%3D%20%5Csqrt%7BM%28x%5E2%29%20-%20%28M%28x%29%29%5E2)
Substitute known values
![\sigma = \sqrt{8 - 2^2](https://tex.z-dn.net/?f=%5Csigma%20%3D%20%5Csqrt%7B8%20-%202%5E2)
Evaluate the expression
![\sigma = 2](https://tex.z-dn.net/?f=%5Csigma%20%3D%202)
Hence, the standard deviation of the population function is 2
Read more about standard deviation at:
brainly.com/question/15858152
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Since the problem gives the number of values of how far away each Eaton and Wellington are from Baxter, you can add both of the miles together to get the total distance from Eaton to Wellington.
42 1/2+37 4/5=
Find the common denominator for both of them.
42 5/10 + 37 8/10=
Answer: 80 3/10 miles from each other
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