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57.55 in base 10 equal in base 2 is 57.55₁₀ = 111001.10001100110₂
Base 10:
It refers the decimal number system.
A number system which uses digits from 0 to 9 to represent a number.
Base 2:
It refers the Binary number system.
A binary number is defined as a number that is expressed in the binary system or base 2 numeral system. It describes numeric values by two separate symbols; 1 (one) and 0 (zero).
Given,
The base 10 number = 57.55
Now we have to convert it into base 2,
So, the conversion will follow the following step in image 1.
Write the Remainders from bottom to top
So, 57₁₀=111001₂
For Decimal Numbers
Refer image 2,
Write the Integer part from top to bottom
55₁₀ = 10001100110₂
Therefore,
57.55₁₀ = 111001.10001100110₂
To know more about Base 10 to base 2 conversion here
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Answer:
y = tan(60°)x = (√3)x
Step-by-step explanation:
The usual translation between polar and rectangular coordinates is ...
... y = r·sin(θ)
... x = r·cos(θ)
If we solve the second equation for r, we get
... x/cos(θ) = r
Now, we can substitute this into the first equation with the result ...
... y = (x/cos(θ))·sin(θ) = x·tan(θ)
Our polar equation is θ = 60°, so we can substitute this value into the relation we have for x and y:
... y = x·tan(60°)
... y = (√3)x
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The portion of the line in the 3rd quadrant corresponds to r values that are negative. The given polar equation has no restriction against that.
