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
Yo sup??
To solve this question we have to apply trigonometric ratios
sin31=UT/TV
TV=UT/sin31
=7.76
=7.8
Hope this helps.
Answer:
- b. 25.7 + 13.2 + 6.4 = 45.3
Step-by-step explanation:
25.65 ≈ 25.7, 13.23 ≈ 13.2, 6.35 ≈ 6.4
- 25.65 + 13.23 + 6.35 =
- 25.7 + 13.2 + 6.4 =
- 45.3
Correct choice is b.
Answer:
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