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Ahat [919]
3 years ago
15

Analyze the graph of the given polar curve. If possible, describe the shape of the graph (circle, rose curve, limacon, etc), and

state the domain, range, and maximum r-value of the graph. State whether the graph is continuous and whether it is bounded. Describe any symmetry the graph has. Give the equations of any asymptotes or state that the graph has no asymptotes. r = 3 - 3cos

Mathematics
1 answer:
Elza [17]3 years ago
3 0

Step-by-step explanation:

Given the polar curve

R= 3-3cosϴ (please have a look at the attached photo)

We have some properties of the function are:

  • The domain are real numbers <=> ϴ ∈ R
  • The shape of the curve is a rose curve
  • The range is approximately from -3.9 to 3.9  <=> -3.9 ≤R ≤3.9

=> The maximum value : 3.9

  • The graph is symmetrical about the x axis
  • The graph is continuous and it is bounded above and below
  • The graph has no asymptotes

Hope it will find you well.

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Express the first number as a percentage of the second number. 29 pounds of recyclable trash in a barrel of 53 pounds of trash.
Rus_ich [418]

Divide first number by second number:

29 /53 = 0.54716981

Multiply by 100 to get percent:

0.54716981 x 100 = 54.716981%

Round the answer as needed.

5 0
4 years ago
Let p: the whole number has one digit. let q: the whole number is less than 10. which represents "the whole number has one digit
Hoochie [10]

"If and only if" (abbreviated "iff") is a biconditional logical connective between two assertions that is either true or untrue. The correct option is D.

<h3>What is "if and only if" operator?</h3>

In logic and related subjects such as mathematics and philosophy, "if and only if" (abbreviated "iff") is a biconditional logical connective between two assertions that is either true or untrue. It is represented by ⇔ or ↔.

The two of the events are

  • p: the whole number has one digit.
  • q: the whole number is less than 10.

Now, the representation of  "the whole number has one digit if and only if the whole number is less than 10" is done as p ↔ q.

Hence, the correct option is D.

Learn more about "if and only if" operator:

brainly.com/question/18301011

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3 0
2 years ago
What is the answer pleasee
denis23 [38]

The value of interior angle x for the given pentagon if found as 88 degrees.

<h3>What is termed as the pentagon?</h3>
  • A pentagon is a two-dimensional polygon with 5 sides and 5 angles.
  • This shape should have five sides and form a closed two-dimensional figure.
  • A closed figure consists of each of its sides intersecting to form vertices.
  • Five diagonals connect the five vertices to one‘s opposite vertices in a pentagon shape.
  • Each interior angle in a regular pentagon is 108°, so each exterior angle is 72°.

For the given question;

The exterior angles of the pentagon are given in figure.

Find all the interior angles for given angles using linear pair as all are straight lines.

  • 180 - 62 = 118
  • 180 - 33 = 147
  • 180 - 114 = 66
  • 180 - 59 = 121

The sum of all the interior angle of pentagon is 540.

Thus,

118 + 147 + 66 + 121 + x = 540

x = 540 - 452

x = 88

Thus, the value of interior angle x for the given pentagon if found as 88 degrees.

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6 0
1 year ago
What is the measurement of 113
kirill115 [55]

Answer:

9.41666667 feet

Step-by-step explanation:

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3 years ago
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