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PolarNik [594]
3 years ago
6

Convert the polar equation to rectangular coordinates. (Use variables x and y as needed.)

Mathematics
1 answer:
Alinara [238K]3 years ago
8 0
The standard conversion toolbox:
x=rcos(θ)
y=rsin(θ)

Here r=7csc(θ)
so 
x=7csc(θ)*cos(θ)=7cos(θ)/sin(θ)=7cot(<span>θ)
y=7csc(</span>θ)*sin(θ)=7sin(θ)/sin(<span>θ) = 7
therefore the rectangular coordinates are (7cot(</span><span>θ), 7)</span>
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A + b = 9<br> a - b = 6<br> what is a/b?
Dahasolnce [82]

Answer:

5

Step-by-step explanation:

hello :

a + b = 9

...(*)

a - b = 6...(**)

add (*) and (**) : 2a =15.....(1)

subsct (**) and (*) : 2b=3  ....(2)

now divid (1) , (2) :  2a/2b = 15/3

means : a/b = 15/3 =5

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3 years ago
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Instruction
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<h3>Answer: Choice C.  (-x, -y)</h3>

Explanation:

Focus on one point, such as A = (1,2). Note how it moves to point A ' = (-1, -2). Both x and y coordinates have been flipped from positive to negative. The rule therefore is (x,y) \to (-x,-y). This describes a 180 degree rotation (either clockwise or counterclockwise, it doesn't matter). Points B and C follow the same idea.

Side note: Lines AA', BB' and CC' all go through the origin (0,0).

8 0
2 years ago
If DE=4x+10, EF =2x-1, and DF=9x-15, find DF
svetoff [14.1K]

Answer:


Step-by-step explanation:

If DE = 4x+10,EF =2X -1, and DF= 9x - 15 find DF

(de + ef ) - df = 2e || 2e/2 = e || ed - e = d || ef - e = f || f + d =  df

de + ef = 6x + 11 || (6x +11) - df = -3x -6 || 2e/2 = -3x/2 - 3  || (-3x/2 - 3) - de = x/2 + 7||  (- 3x/2 - 3) - ef = -x/2 - 1|| d + f = 6


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3 years ago
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A 10-foot ladder is leaning against a tree. The bottom of the ladder is 4 feet away from the bottom
Naddik [55]

Answer:

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Step-by-step explanation:

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3 years ago
Drag and drop an answer to each box to correctly complete the explanation for deriving the formula for the volume of a sphere
denis-greek [22]

The answers that would fill in the blanks are

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<h3>What is the Cavalier's principle?</h3>

This principle states that if two solids are of equal altitude then the sections that the planes would make would have to be parallel and also be at the same distances from their bases which are equal such that the volumes of the solids would be equal.

Now we have to fill in the blanks with the solution.

For every corresponding pair of cross sections, the area of the cross section of a sphere with radius r is equal to the area of the cross section of a cylinder with radius r and height<u> 2r</u> minus the volume of two cones, each with a radius and height of r. A cross section of the sphere is a <u>circle</u> base of cylinder, is and a cross section of the cylinder minus the cones, taken parallel to the base of cylinder, is an <u>annulus_ </u>.The volume of the cylinder with radius r and height 2r is 2πr³, and the volume of each cone with radius r and height r is 1/3πr³. So the volume of the cylinder minus the two cones is 4/3πr³. Therefore, the volume of the sphere is by Cavalieri's principle

Read more on Cavalieri's principle here

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5 0
8 months ago
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