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choli [55]
3 years ago
6

What is another name for the set of counting numbers

Mathematics
1 answer:
Masteriza [31]3 years ago
5 0

Its is called A positive integer or a natural number.

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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
2 years ago
A farmer has 500 acres to plant acres of corn, x, and acres of cotton, y. Corn costs $215 per acre to produce, and cotton costs
tatyana61 [14]

Answer:

The system  that represent the scenario is

x+y\leq500

215x+615y\leq 187,500

The solution in the attached figure

Step-by-step explanation:

Let

x-----> the acres of corn

y----> the acres of cotton

we know that

x+y\leq500 ------> inequality A

215x+615y\leq 187,500 -----> inequality B

using a graphing tool

the solution is the shaded area in the attached figure

8 0
3 years ago
Read 2 more answers
What is the quotient of 2 ÷ 2/3?​
Neko [114]

Answer:

The answer is 3! I believe.

Step-by-step explanation:

3 0
2 years ago
Read 2 more answers
Use angle relationships and the diagram below to write and solve an equation for x.
tatuchka [14]

Answer:

x = 7 degrees

Step-by-step explanation:

4x-5 = 2x + 9

-2x -2x

2x-5 = 9

+5 +5

2x = 14

2x/2 =14 /2

x= 7

5 0
2 years ago
Please solve<br><br> ??-3/10=1/5
lina2011 [118]

Answer:

5

Step-by-step explanation:

5-3=2

2/10=1/5

6 0
2 years ago
Read 2 more answers
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