Answer:
a) 
b) 
Step-by-step explanation:
Polar coordinates are represented as: 
, where 'r' is the length (or magnitude) of the line, and '
' is the angle measured from the positive x-axis.
in our case:
to covert the polar to cartesian:
we can plug in our values:
the Cartesian coordinates are:
(b) to convert (x,y) = (6.06,-3.5)
we'll use the pythagoras theorem to find 'r'
the angle can be found by:
to convert radians to degrees:
writing in polar coordinates:
I don't see anything, but any line that doensnt have the right angle sign is not perpendicular.
Speed=distance / time ⇒ distance=time x speed
distance=d
time=t
speed= s
d=s*t
Distance traveled by Mr Guerrero, when his daugther left the house
Data:
s=40 miles/ hour
t=2 hours
d=40 miles/ hour * 2 hours= 80 miles
Total distance traveled by Mr Guerrero:
d=80 miles + 40 miles/hourt ⇒d=80+40t (1)
d=total distance.
s=speed.
t=time spent by Miranda for she overtook her father.
Distance traveled by Miranda.
data:
s=48 miles/ hour
d=total distance.
t=time spent by Miranda for she overtook her father.
d=48 miles/hour * t ⇒d=48t (2)
With the equations (1) and (2), we make an system of equations:
d=80+40t
d=48t
We can solve this system of equation by equalization method.
80+40t=48t
80=48t-40t
80=8t
t=80/8=10
d=48t
d=48*10=480
Answer: the thistance will be 480 miles.
The equation to find the amount of money spent is 27 + 0.05m. This equation, in this case, needs to be larger or equal to 90.70. So our inequality would be:
27 + 0.05m >= 90.70
Now we can solve this equation for m.
27 + 0.05m >= 90.70
0.05m >= 63.70
m >= 1274
