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Dennis_Churaev [7]
3 years ago
9

A. Plot 13.58 on a number line on which the long

Mathematics
1 answer:
Lerok [7]3 years ago
4 0

Answer:

Se attached for plots and here is position of the numbers:

a. Plot 13.58 on a number line on which the long

tick marks are whole numbers.

  • 13 < 13.58 < 14

b. Plot 0.193 on a number line on which the long

tick marks are tenths.

  • 0.1 < 0.193 < 0.2

c. Plot 26.9999 on a number line on which the

long tick marks are thousandths.

  • 26.999 < 26.9999 < 27.000

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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

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  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  

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- 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)

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3 years ago
What is m lkh <br> A 25 <br> B 40 <br> C 50 <br> D 80
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Answer:

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Step-by-step explanation:

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Check the picture below.

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What is the total cost of $703 tablet computer that is on sale at 16% off if the local sales tax rate is 3%?
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Answer: $608.24

Step-by-step explanation:

Hi, first we have to calculate the percentage amount of the discount.

We have to multiply the cost by the sale percentage in decimal form.

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Then, we have to subtract that amount to the original cost.

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Then, we have to calculate the sale tax amount by multiplying the sale cost by the tax percentage in decimal form.

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3 years ago
Read 2 more answers
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