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
Let the number = x.
48% of x = 108
(48/100)x = 108
x = 108 * 100 /48 = 225 use your calculator.
Answer is option C.
Answer:
ill download in second ok? yes thnks!!!!
Step-by-step explanation:
Answer:
it is because 20 + 20 is 40 and then 40 - 20 = 20
Answer:
Step-by-step explanation:
The total cost that farmer McHenry assumes to sell his tomatoes at the farmer´s market includes: the gas, the stand and the price tags. The expression is the following:
Total cost = $2,50 + $1 + $0.50
Total cost = $4
Farmer McHenry's revenue depends on the number of tomatoes he sells:
Revenue (t)= Price* t
Revenue (t)= $0.50(t)
To know how many tomatoes, he must sell so that the cost equals his revenue, you must equal both expressions and then find t:
$4=$0.50 (t)
t= $4/$0.50
t= 8
He must sell 8 tomatoes.
