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3 years ago

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

1 answer:

8 0

R = 2 / (1 + sin θ)

Using the following relations:

R = sqrt (x^2 + y^2)
sin θ = y/R

R = 2 / (1 + y/R)
R(1 + y/R) = 2
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

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What is 3^ 81^5=3^ please

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Answer:

Step-by-step explanation:

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3 years ago

In the following credit card statement, what is the balance?

Brums [2.3K]

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3 years ago

Steffie makes a scale drawing for a crate with the demensions 15 inches long by 12 inches wide. Her scale factor is 1:3. Brian m

rodikova [14]

Answer:

Dimensions → (5 inches × 4 inches)

Step-by-step explanation:

Scale factor used for the drawing by Steffie = $\frac{1}{3}$

Since, scale factor = $\frac{\text{Dimension of the drawing}}{\text{Actual dimension}}$

For Steffie,

Actual length of the crate = $\frac{\text{Dimension of the drawing}}{\text{Scale factor}}$

= $\frac{15}{\frac{1}{3}}$

= 45 inches

Actual width of the crate = $\frac{12}{\frac{1}{3} }$

= 36 inches

Since Brian used the scale factor = $\frac{1}{9}$

Length of the drawing = Actual length × Scale factor

= 45 × $\frac{1}{9}$

= 5 inches

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= 36 × $\frac{1}{9}$

= 4 inches

Therefore, dimensions of the drawing made by Brian are (5 inches × 4 inches)

6 0

3 years ago

Rounding whole number which number could round to 80,600 80,532 80,549 80,617 80, ,651

Burka [1]

Answer:

80,617

Step-by-step explanation:

the 1 in the tens place puts the number back down to 600

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3 years ago

Will mark brainliest!!!!!!! Please help!! 18 points for right answer!

Sonbull [250]

I think it should be 1.7?

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c^2 = 16

Square root of 16 is 4.

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Square root of 1 is 1 and square root of 3 is given, which is 1.7.

An equilateral has two right triangles out together, so basically that would be a rectangle.

1 x 1.7 = 1.7

4 0

3 years ago

Read 2 more answers