Answer: Quadrant iii.
Step-by-step explanation: Given, the measurement of the angle in standard position is -102°. When we are considering negative angles, we will in the clockwise direction. Angles with measurement 0° to -90° will fall in the quadrant iv. Angles measuring -90° to -180° will fall in the quadrant iii. Since -102° lies between -90° and -180°, so, it will be lying in quadrant iii. Please see the attached figure.
Thus, the correct answer is quadrant iii.
Answer:
(213.8, 419.3)
Step-by-step explanation:
The center of mass is the point at which the sum of the weights relative to each other is zero. The weight distribution is balanced around the mass, and the average of the mass position coordinates of the scattered weight defines its coordinates. Calculations in mathematics are simplified when formulated according to the center of mass.
For finding the place of the center of the mass we should use the formulas below for X AND Y points:
Segment CM X Position = X proximal + A*(Xdistal - Xproximal)
Segment CM Y Position = Y proximal + A*(Ydistal - Yproximal)
A is the percentage of how much the center of mass is from proximal end.
We have:
Proximal X=213
Proximal Y=400
Distal X=378
Distal Y=445
and the percentage of the distance to proximal end, A=42.9%
Segment Central of mass for X is:
CM X = X proximal + A*(Xdistal - Xproximal)=213+0.429*(378-213)=213.8
CM Y= Y proximal + A*(Ydistal - Yproximal)=400+0.429*(445-400)=419.3
So we found that the point on the space for the center of mass is (213.8, 419.3)
Answer:
a.) 4
Step-by-step explanation:
a.)4
Answer:
112
Step-by-step explanation: