If the equation is r = 3 +4cos(θ) then because b/a>1 the curve is a limacon with an inner loop.
Given limacon with equation r=3+4cos(θ) and we have to answer how the quotient of a and b relate to the existence of an inner loop.
Equation is like a relationship between two or more variables expressed in equal to form and it is solved to find the value of variables.
formula of polar graph is similar to r= a+ b cos (θ).
Case 1. If a<b or b/a>1
then the curve is a limacon with inner loop.
Case 2. If a>b or b/a<1
Then the limacon does not have an inner loop.
Here given that
(θ)
It is observed that , a<b or b/a>1
Therefore the curve is limacon with an inner loop.
Hence because b/a>1 the curve is a limacon with an inner loop.
Learn more about limacon at brainly.com/question/14322218
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Answer: C
Step-by-step explanation: If B is the set of colleges that have a physics department.
B’ is the set of colleges that do not have a physics department.
U is the union, so we are going to put every element from A and B' together. It can be translated as OR.
A U B’ is the set of elements in a country that have a hockey team (A) or do not have a physics department (B’)
.
Answer:
16.6
Step-by-step explanation:
Answer:
378 ft²
Step-by-step explanation:
Given:
The Width of the wall = 28'
The Length of the wall = 10'
The Height of the gable = 7'
Now, the width of the gable will be equal to the width of the wall = 28'
therefore,
Area of the wall = Area of the rectangle section of wall + area of the gable
Total area of the wall = ( 28' × 10' ) + (
)
or
Total area of the wall = 280 + 98 = 378 ft²