Answer and Step-by-step explanation: Spherical coordinate describes a location of a point in space: one distance (ρ) and two angles (Ф,θ).To transform cartesian coordinates into spherical coordinates:
For angle θ:
- If x > 0 and y > 0: ;
- If x < 0: ;
- If x > 0 and y < 0: ;
Calculating:
a) (4,2,-4)
= 6
For θ, choose 1st option:
b) (0,8,15)
= 17
The angle θ gives a tangent that doesn't exist. Analysing table of sine, cosine and tangent: θ =
c) (√2,1,1)
= 2
=
d) (−2√3,−2,3)
= 5
Since x < 0, use 2nd option:
Cilindrical coordinate describes a 3 dimension space: 2 distances (r and z) and 1 angle (θ). To express cartesian coordinates into cilindrical:
Angle θ is the same as spherical coordinate;
z = z
Calculating:
a) (4,2,-4)
=
z = -4
b) (0, 8, 15)
= 8
z = 15
c) (√2,1,1)
=
z = 1
d) (−2√3,−2,3)
= 4
z = 3
Answer:
Que estas como por que nada
Step-by-step explanation:
buenos nochas
120 is the answer to this equation.
<h3>
Answer:</h3>
5 book covers and 2 boxes of pencils
<h3>
Step-by-step explanation:</h3>
If all 7 were book covers, the cost would be 10.50. The cost is 2.60 more than that. Each box of mechanical pencils costs 1.30 more than a book cover, so there must be 2.60/1.30 = 2 boxes of mechanical pencils (and 5 book covers).
_____
If you want an equation, let p represent the number of pencil boxes. Then 7-p is the number of book covers.
... 1.50(7-p) +2.80p = 13.10
... 1.30p = 13.10 -10.50 . . . . . subtract 10.50, collect terms
... p = 2.60/1.30 = 2 . . . . pencil boxes
... 7-2 = 5 . . . . . book covers