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Shalnov [3]
3 years ago
13

Write the smallest possible length to 9.15 to two decimal places

Mathematics
1 answer:
harkovskaia [24]3 years ago
6 0

Answer:

If you round two decimal places, it should be 9.

Step-by-step explanation:

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Find all polar coordinates of point P where P = ordered pair 3 comma negative pi divided by 3 .
jek_recluse [69]

Answer:

The all polar coordinates of P are:

(3 , -π/3) , (3 , 5π/3) , (-3 , 2π/3) , (-3 , -4π/3)

Step-by-step explanation:

* Lets study the polar coordinates of a point

- In polar coordinates there is an infinite number of coordinates

 for a given point.

- The polar coordinates of a point (x , y) is (r , θ), where

  r = √ ( x2 + y2 )

  θ = tan-1 ( y / x )

# Ex: the following four points are all coordinates for the same point.

* (5 , π/3) = (5 , −5π/3) = (−5 , 4π/3) =(−5 , −2π/3)

- These four points only represent the coordinates of the point without  

  rotating more than once

- So the point (r,θ) can be represented by any of the following

  coordinate pairs  (r , θ + 2π n) and (−r , θ + (2n + 1) π), where n is

  any integer.

* Now lets solve the problem

∵ P = (3 , -π/3)

∵ (r , θ + 2πn)

∴ r = 3 an d Ф = -π/3

- let n = 1

∴ P = (3 , -π/3 + 2π)

∴ P = (3 , 5π/3)

∵ P =(3 , -π/3)

∵ P = (-r , θ + (2n + 1) π)

Let n = 0

∴ P = (-3 , -π/3 + (2×0 + 1) π)

∴ P = (-3 , -π/3 + (0 + 1) π)

∴ P = (-3 , -π/3 + π)

∴ P = (-3 , 2π/3)

∵ P =(3 , -π/3)

∵ P = (-r , θ + (2n + 1) π)

Let n = -1

∴ P = (-3 , -π/3 + (2(-1) + 1) π)

∴ P = (-3 , -π/3 + (-2 + 1) π)

∴ P = (-3 , -π/3 + -π) = (-3 , -4π/3)

∴ P = (-3 , -4π/3)

5 0
3 years ago
Write expressions for the following scenarios.
elena-s [515]

Answer:

flaimgo/albert

Step-by-step explanation:

4 0
3 years ago
Read 2 more answers
What is a two column proof
ruslelena [56]
A, the first choice. c doesn't say tht its in a logical flow
3 0
3 years ago
Read 2 more answers
3y-15-6x in slope intercept form
ASHA 777 [7]
When you think of slope intercept form we think of Y=mx+b
m=slope and b = intercept

So all you do is solve for Y in your given equation.

Im going to guess the equal sign  because you didn't include it. I can fix the answer is I was wrong.

3y-15=6x    (add 15 to both sides)

3y=6x+15 (divide by 3)

y=2x+3 (final answer)


5 0
3 years ago
The pH level of a solution measures how acidic or basic the solution is. Values between 0 and 7 are considered acidic while valu
Furkat [3]

Answer:

  about 2.47

Step-by-step explanation:

Your calculator will tell you ...

  -\log{(3.4\times 10^{-3})}\approx 2.4685\approx\bf{2.47}

4 0
3 years ago
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