We know that
Limacons are in the form
r=a(+-)b*sin (theta) or r=a(+-)b*cos (theta)
in this problem
r=a(+-)b*sin (theta)
so
is symmetric to y axis
a=1/2
b=1/2
a/b=1---------> Cardioid (hearth shaped)
see the attached figure
the answer is the option
<span>
A. Cardioid </span>
Answer:
k = 42
the constant of proportionality in this inverse variation is 42.
Step-by-step explanation:
Let x represent the number of people that want cake
And y the number of slices each can have;
Since x is inversely proportional to y;
x = k/y .....1
Where k is the proportionality constant;
To solve for k, we will substitute any of the case scenario given into equation 1.
If 14 people want cake, then they can each have 3 slices;
x = 14 , y = 3
substituting;
14 = k/3
k = 14 × 3 = 42
k = 42
the constant of proportionality in this inverse variation is 42.
Therefore,
x = 42/y
Answer:

Step-by-step explanation:
Given : There are six balls in bag
Basketballs=2
Playground balls =3
Soccer ball =1
To Find : the probability that if you pick one of the balls without looking, it will be a soccer ball
Solution :
Total no. of balls = 6
No. of soccer balls = 1
Probability = favorable outcomes / total outcomes
Since total outcomes = total no. of balls =6
And favorable outcome = no. of soccer balls = 1
Thus , Probability of getting soccer ball = 
Hence the probability that if you pick one of the balls without looking, it will be a soccer ball:

Only once, any number higher will pass it