Answer:
8y+96
Step-by-step explanation:
8(y+12)
First, do 8*y which is 8y
Now, 12*8=96
So, the answer is 8y+96
Answer: The correct order of the options is 4, 3, 2, 1 and 5.
Explanation:
The steps for analyzing mathematical models are,
To analyzing a mathematical model first we have to defined the problem and identify parameters.
The second step is, defined the data needed. it means determine that which type of data is required according to the problem and parameters and neglect the relevant data.
The third step is collect or gather needed data. To solve the defined problem we need the related data.
The fourth step is arrange or analyse the data according to the requirements.
THe fifth step is after analysing the data draw a reasonable conclusion.
Therefore, the correct order of the options is 4, 3, 2, 1 and 5.
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
$81.40-$9.00=$72.40
$72.40/.4 (cents)= 181 minutes
(22 + 15.50 + 2.75) 15
(22 * 15) + (15.50 * 15) + (2.75 * 15)
