Radius, r = 3
The equation of a sphere entered at the origin in cartesian coordinates is
x^2 + y^2 + z^2 = r^2
That in spherical coordinates is:
x = rcos(theta)*sin(phi)
y= r sin(theta)*sin(phi)
z = rcos(phi)
where you can make u = r cos(phi) to obtain the parametrical equations
x = √[r^2 - u^2] cos(theta)
y = √[r^2 - u^2] sin (theta)
z = u
where theta goes from 0 to 2π and u goes from -r to r.
In our case r = 3, so the parametrical equations are:
Answer:
x = √[9 - u^2] cos(theta)
y = √[9 - u^2] sin (theta)
z = u
Answer:
The Math Club must sell at least 50 pies to reach the goal
The graph in the attached figure
Step-by-step explanation:
Let
x-----> the number of sold pies
we know that
The inequality that represent the situation is

Solve for x
Divide by 4 both sides


The solution is the interval ------> [50,∞)
All positive whole numbers greater than or equal to 50
In a number line the solution is the shaded area at right of x=50 (close circle)
The Math Club must sell at least 50 pies to reach the goal
using a graphing tool
see the attached figure
Consider 3 girls are doing an embroidery work. Let g be the number of hours needed for the first girl to complete the work and h be the number of hours needed for the second girl to complete the work.
If the number of hours needed for the third girl is the sum of the hours needed to complete the work by the first girl and 3 hours less than the hours needed to complete the work by the second girl, write the expression for the total hours needed for the third girl to complete the work.
No. of hours needed for first girl = g
No. of hours needed for second girl = h
So, number of hours needed for third girl = g + (h - 3).
The lcm of 1978 and 2832 is
2800848
Answer:
1/3 of a mile is 0.533
3/4 of a mile is 1.2 km
so how far did he travel combined from monday and tuesday is 1.733 (1.2+0.533) = 1.7333
the answer is 1 1/12 or 1.083 as a decimal