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2 years ago

Transform each polar equation to an equation in rectangular form.

Mathematics

1 answer:

pickupchik [31]2 years ago

4 0

The equation of the line in slope-intercept form is equal to y = √3x + b.

<h3>How to transform polar coordinates to rectangular coordinates?</h3>

In geometry, the relationship between a rectangular coordinate (x, y) and a polar coordinate (r, θ) based on the conversion rules is given by these polar functions:

x = rcosθ ....equation 1.

y = rsinθ ....equation 2.

<u>Where:</u>

θ is the angle.

r is the radius of a circle.

Also, the slope from this angle is given by:

θ = tan⁻¹(y/x)

tan⁻¹ (π/3) = (y/x)

√3 = (y/x)

y = √3x

Mathematically, the equation of the line in slope-intercept form is given by this formula;

y = √3x + b.

Read more on polar coordinates here: brainly.com/question/2193539

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Mars2501 [29]

a. The total cost is the sum of variable and fixed cost. So the average cost of each hat is simply total cost divided by x:

ave cost = (2.12 x + 3000) / x

b. Total cost should be equal to Income:

2.12 x + 3000 = 2.75 x

Solve for x:

x = 4762 units

c. Profit is income minus total cost:

Profit = 2.75 x – (2.12 x + 3000)

1000 = 2.75x – 2.12 x – 3000

Solving for x:

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3 years ago

If it takes 3127 feet of computer cable to wire an office building how much cable will left if the wire is taken from a 5000 foo

Lunna [17]

This is simple to solve as all we need to do is setup a basic equation. An equation that could represent this is $3127+x=5000$ where x is equal to the amount of wire left on the reel.

$3127+x=5000$
$-3127$ $-3127$
$x=1873$

Using this information, we can see that there are 1,873 feet of wire left on the reel.

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3 years ago

The price of a 5-minute call is 1.50 what is the price of a 12-minute call

nasty-shy [4]

Answer:

3.70

Step-by-step explanation:

7 0

3 years ago

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While waiting for a video game to download, you notice that

salantis [7]

Find out the how many kilobytes have been downloaded so far .
To prove
As given
While waiting for a video game to download.
notice that 30 percent of 32000 kilobytes have been downloaded so far .
30% is written in the decimal form.

= 0.30
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3 years ago

52 + 6 × (5 − 3) − 10⁄2

GenaCL600 [577]

52+6×2− 2
10

2 Simplify
6
×
2
6×2 to
12
12.
52
+
12
−
10
2
52+12−
2
10

3 Simplify
10
2
2
10

to
5
5.
52
+
12
−
5
52+12−5

4 Simplify
52
+
12
52+12 to
64
64.
64
−
5
64−5

5 Simplify.
59
59

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3 years ago

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