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:
12/17
Step-by-step explanation:
total number of marbles that are purple (11) plus the total number of marbles that are not small (15) minus the number of marbles that are both purple and not small (2)
11 + 15 - 2 = 24
over the total number of marbles (34)
24/34 simplifies to 12/17
Answer:
$64
Step-by-step explanation:
80x.20=16
80-16=64
Step-by-step explanation:
3528 ÷ 30 = 117.6
He should travel 117.6 m in one minute
Answer:
4 1/12
Step-by-step explanation:
7/12(7)
49/12
<em>12 goes into 49 four times. 12 x 4 is 48, which leaves 1/12 left over. </em>
4 1/12