Answer:
2π feet
Step-by-step explanation:
9:30 PM to 1:30 AM is 4 hours.
It is 1/3 of a complete revolution.
A full 12 hours would be 2×r×π=2×3×π
1/3 of that is:
1/3×2×3×π=2π
≈6.283185307 feet
a) ABD and CBD are Supplementary angles and need to equal 180 degrees
Subtract 117 from 180 for CBD:
CBD = 180 - 117 = 63 degrees
b) In triangles the the shortest side would be opposite the shortest angle.
Since angle D is 56 degrees ( the smallest inside angle) then side BC would be the shortest side.
c) The side opposite the largest angle would be the longest.
Angle B is 63 degrees ( the largest) so side CD is the longest.
There exists a trigonometric identity which states that,
sin (A - B) = sin A cos B - cos A sin B
This is very similar to the given expression with A equal to 57° and B equal to 13°. The simplified form of the angle is,
sin (57° - 13°) = sin 44°

The given equation is :
1. The relationship such that dependent variable (y) is isolated is :
2. The table accompanying this equation :
3. graph of the given equation is in attachment ~