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1 answer:
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Answer:
1 and 1/8 hours or
Step-by-step explanation:
Natasha spent one and a half hours on the beach, which can be rewritten as 3/2 hours. Out of that time, she spent 3/4 sleeping. The total time she spent sleeping on the beach is determined by the product of the amount of time she spent on the beach by the fraction of that time she spent asleep:
Natasha was asleep on the beach for 1 and 1/8 hours or 1 hour 7 minutes and 30 seconds.
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