This is a question of resolving the forces in question into horizontal and vertical and then finding the action of the resultant force.
The first force acts at an angle less than 90° and thus its resolved forces are positive. The second force acts at angle larger than 90° and is incident and thus its horizontal value is positive while its vertical value is negative.
Therefore;
For force of 300 N at 30°;
Horizontal value = 300*Cos 30 = 259.81 N
Vertical value = 300*Sin 30 = 150 N
For 150 N at 135°;
Horizontal value = 150*Cos (180-135) = 106.07 N
Vertical value = -150*Sin (180-135) = -106.07 N
Then,
Resultant horizontal value = 259.81+106.07 = 365.88 N
Resultant vertical value = 150-106.07 = 43.93 N
Therefore,
Resultant force, v = Sqrt (365.88^2+43.93^2) = 368.51 N
Angle of action measured from horizontal = tan ^-1(43.93/365.88) 6.85°
Then,
v = 368.51 N at 6.85° from horizontal
Answer:
The Solution to the Sum
Your solution after multiplying the 3 with the 180 degrees is 540 degrees. This is true for any pentagon you have. Regular pentagons where all the sides and angles are the same will have a sum of interior angles of 540 degrees.
PLEASE SAID THANKS
Answer:
The mean of the sampling distribution of p is 0.75
The standard deviation of the sampling distribution of p is 0.0274
Step-by-step explanation:
According to the given data 75% of the sampled households watch sports on television at least once a month therefore the mean of the sampling distribution of p is 0.75.
In order to calculate the standard deviation of the sampling distribution of p we would have to use the following formula as follows:
Standard deviation = √ [ p ( 1 - p) / n ]
= √[ 0.75 * ( 1 - 0.75) / 250]
= 0.0274
The standard deviation of the sampling distribution of p is 0.0274.
Answer:
they only had one pair of trunks
Step-by-step explanation: i hope that helps you
X=35 and y= 130.
similar triangles have at least 2 congruent angles.
ABC = 130, 35 and 15
DEF = 130, 35 and 15
so B) the triangles are similar because y=130 and there are 3 pairs of congruent angles.