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
He buyed 240 cards because
20
x
12
-----
40
+
20
-------
240
Point slope form
y-y1=m(x-x1)
slope=m
a point is (x1,y1)
slope=(y2-y1)/(x2-x1)
given
(-6,4) and (2,0)
slope=(0-4)/(2-(-6))=-4/(2+6)=-4/8=-1/2
a point is (-6,4)
x1=-6
y1=4
y-4=-1/2(x+6)
not listed
From previously received a monthly salary of $1,375.00, Your new monthly salary increase by six percent would be $1,457.50.
What is the percentage?
A percentage is a minimum number or ratio that is measured by a fraction of 100.
You previously received a monthly salary of $1,375.00
Now by economic expansion, causing wages to increase by 6%
Increment of the salary = 6% of 1,375.00
= 6/100 × 1,375
= 0.06 × 1,375
= $82.50
So, your new monthly salary would be = $1,375.00 + $82.50
= $1,457.50
Hence, your new monthly salary would be $1,457.50.
Learn more about percentages;
brainly.com/question/13450942
Answer:
a)c
Step-by-step explanation:
i dunno about b
