Answer:
(For the first two questions I do believe that you will need a protractor to calculate the angles.)
15) 
measures out to -70° in order to display that the angle would be in quadrant IV (the bottom right quadrant.)
The first image attached shows where the angle should be located.
16) 
is equal to 60° (the line you draw will be in quadrant 1 (the top right quadrant))
17) 350° is 
or 6.11 (the answer depends on the format the professor wants.)
18) 240° is 
radians or -4.19 (I am rounding to the nearest hundredths place the unsimplified answer is −4.18879020...)
The cone equation gives
which means that the intersection of the cone and sphere occurs at
i.e. along the vertical cylinder of radius
when
.
We can parameterize the spherical cap in spherical coordinates by
where
and
, which follows from the fact that the radius of the sphere is 3 and the height at which the sphere and cone intersect is
. So the angle between the vertical line through the origin and any line through the origin normal to the sphere along the cone's surface is
Now the surface area of the cap is given by the surface integral,
Answer:
15.5 ft²
Step-by-step explanation:
The area (A) of a regular polygon is calculated as
A = 
pa ( p is the perimeter and a the apothem )
Here side of regular pentagon is 3 ft, thus
perimeter = 5 × 3 = 15, so
A = 0.5 × 15 × 2.06 ≈ 15.5 ft ( to the nearest tenth )
Its asking how much did they both spent, in total, in order to reach the same amount spent in part A
