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alexira [117]
3 years ago
14

Convert the polar equation to rectangular form: r = 2 / [1 + sin(theta)]

Mathematics
1 answer:
iren2701 [21]3 years ago
8 0
R = 2 / (1 + sin <span>θ)

Using the following relations:

R = sqrt (x^2 + y^2)
sin </span>θ = y/R
<span>
R = 2 / (1 + y/R)
R</span>(1 + y/R<span>) = 2
</span><span>R + y = 2
R = 2 - y
sqrt(x^2 + y^2) = 2 - y

Squaring both sides:
x^2 + y^2 = (2 - y)^2
x^2 + y^2 = 4 - 4y + y^2

x^2 + 4y - 4 


</span>
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A 100 rupee note was changed to 10 and 5 rupee notes, 15 notes in all. How many of each notes?​
san4es73 [151]

Answer:

Total number of notes is 11.

Step-by-step explanation:

Value is 100 rupees…

5x + 20y = 100 and x + y = 11 are the two equations.

We can simplify…

5x + 20 y - 5x - 5y = 100 - 55 = 45

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I hope it helps you.

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95. Because atoms, molecules, and ions are very small, they are counted in units of moles, where 1 mole = 6.022 × 1023 molecules
Galina-37 [17]

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There are 10⁻⁷ hydrogen ions in one-liter water

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Hi there!

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Why 10^(log (H)) = (H)?

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(Apply logarithmic property: log xᵃ = a · log x)

log y = log x · log 10

(log 10 = 1)

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10^(log x) = x

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