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: first option.
Step-by-step explanation:
The ratio of the area of the triangles can be calculated as following:

Where
is the lenght of the given side of the smaller triangle and
is the lenght of the given side of the larger triangle.
Therefore:

It can be written as following:

The ratio of the perimeter is:

Where
is the lenght of the given side of the smaller triangle and
is the lenght of the given side of the larger triangle.
Therefore:

It can be written as following:

R = -2 :) hope this helps
Answer:
x=1
Step-by-step explanation:
6-3x=5x-10x+8=
move all terms to the left:
6-3x-(5x-10x+8)=0
add all the numbers together, and all the variables
-3x-(-5x+8)+6=0
get rid of parentheses
-3x+5x-8+6=0
add all the numbers together, and all the variables
2x-2=0
move all terms containing x to the left, all other terms to the right
2x=2
x=2/2
x=1
Answer:
c
Step-by-step explanation:
because on the chart is says 19% under burgers for teachers.
Tell me if it is right.