Answer:
309
Step-by-step explanation:
There is a 40 percent chance because there are more yellow tiles than green
r
sin
θ
=
−
3
Explanation:
Imagine we have a point
P
with Rectangular (also called Cartesian) coordinates
(
x
,
y
)
and Polar coordinates
(
r
,
θ
)
.
The following diagram will help us visualise the situation better:
https://keisan.casio.com/exec/system/1223526375
https://keisan.casio.com/exec/system/1223526375
We can see that a right triangle is formed with sides
x
,
y
and
r
, as well as an angle
θ
.
We have to find the relation between the Cartesian and Polar coordinates, respectively.
By Pythagora's theorem, we get the result
r
2
=
x
2
+
y
2
The only properties we can say about
θ
are its trigonometric functions:
sin
θ
=
y
/
r
⇒
y
=
r
sin
θ
cos
θ
=
x
/
r
⇒
x
=
r
cos
θ
So we have the following relations:
⎧
⎪
⎨
⎪
⎩
r
2
=
x
2
+
y
2
y
=
r
sin
θ
x
=
r
cos
θ
Now, we can see that saying
y
=
−
3
in the Rectangular system is equivalent to say
r
sin
θ
=
−
3
Answer link
Jim G.
May 19, 2018
r
=
−
3
sin
θ
Explanation:
to convert from
cartesian to polar
∙
x
x
=
r
cos
θ
and
y
=
r
sin
θ
⇒
r
sin
θ
=
−
3
⇒
r
=
−
3
sin
θ
Answer:
A. p = $17.95n - $1,250.00
Step-by-step explanation:
Profit (p) = net revenue - expenditure
Net revenue = charge for transfer of n videos - expense for n blank DVD
charge per video transfer = $20.40
charge for n video transfer = $20.40 × n = $20.40n
expense per blank DVD = $2.45
expense for n blank DVD = $2.45 × n = $2.45n
Net revenue = $20.40n - $2.45n = $17.95n
expenditure = $1,250.00
Therefore, p = $17.95n - $1,250.00
Answer:
Step-by-step explanation:
a taingle adds up to 180 degrees if that helps