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aliina [53]
3 years ago
5

Transform the polar equation to a Cartesian (rectangular) equation: r= 4sinθ

Mathematics
1 answer:
sweet-ann [11.9K]3 years ago
8 0

Answer:

  x^2 +y^2 = 4y

Step-by-step explanation:

Using the usual translation relations, we have ...

  r^2 = x^2+y^2

  x = r·cos(θ)

  y = r·sin(θ)

Substituting for sin(θ) the equation becomes ...

  r = 4sin(θ)

  r = 4(y/r)

  r^2 = 4y

Then, substituting for r^2 we get ...

  x^2 +y^2 = 4y . . . . . matches the first choice

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Can you simplify 2 over 7
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Answer: No!

Step-by-step explanation:

2 is a prime number

7 is a prime number

They both are prime numbers so they cant be simplified further. They both are already simplified to the lowest terms.

Hope this helps :)

8 0
3 years ago
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A sock drawer has 8 blue socks and 6 black socks. If I randomly select two socks, one at a time, what is the probability I will
MAVERICK [17]

The probability is most likely going to be

4/13

6 0
3 years ago
 
stepan [7]

Answer:

The probability of selecting a family with exactly one male child is 1/4 or 0.25.

Step-by-step explanation:

Given in the question,

possible outcomes for the children's genders

{FFFF, FFFM,​ FFMF, FMFF,​ MFFF, MFFM,​ MFMF, MMFF,​ FFMM, FMFM,​ FMMF, FMMM,​ MFMM, MMFM,​ MMMF, MMMM}

= 16

To find,

the probability of selecting a family with exactly one male child

<h3>Probability = favourable outcomes / possible outcomes</h3>

favourable outcomes = {FFFM,​ FFMF, FMFF,​ MFFF}

                                    = 4

Probability = 4 / 16

                  = 1 / 4

                  = 0.25    

4 0
3 years ago
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The price of the stock is below its starting price because the price will decrease before it increases
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