Answer:
The dimensions of rectangle are:
Width = 16 inches
Length = 106 inches
Step-by-step explanation:
Perimeter of rectangle = 244 inches
Let Width of rectangle = w
Length of rectangle = w+90
We need to find the dimensions (length and width) of the carpet
The formula used will be: 
Putting values and making equation:

So, we get w = 16
The width w = 16 inches
Now, finding length = w+ 90 = 16+90 = 106 inches
Therefore the dimensions of rectangle are:
Width = 16 inches
Length = 106 inches
I think the answer is c sorry if I’m wrong
Answer:
8%
Step-by-step explanation:
The maximum change happens when all 500 people moves form outer surface to the station center. When all of them are at the surface, the total moment of inertia is:

When they are at the axis, the total moment of inertia is only the station's, which is 
By the law of angular momentum conservation:


So the angular speed changes by 0.08 of itself, or 8%
Answer:
An acute angle ("acute" meaning "small") is an angle smaller than a right angle. The range of an acute angle is between 0 and 90 degrees.
An obtuse triangle (or obtuse-angled triangle) is a triangle with one obtuse angle (greater than 90°) and two acute angles. Since a triangle's angles must sum to 180° in Euclidean geometry, no Euclidean triangle can have more than one obtuse angle.
Protractor: an instrument for measuring angles, typically in the form of a flat semicircle marked with degrees along the curved edge.
Degrees: a unit of measurement of angles, one three-hundred-and-sixtieth of the circumference of a circle.
Right Angel: an angle of 90°, as in a corner of a square or at the intersection of two perpendicular straight lines.
Straight Angle: an angle of 180°.
Step-by-step explanation: