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Allisa [31]
3 years ago
12

The rectangular coordinates of a point are given. Find the polar coordinates ​(r,theta​) of this point with theta expressed in r

adians. Let rgreater than0 and 0 less than or equal theta less than 2pi. ​(negative 6 StartRoot 3 EndRoot​, 6​)
Mathematics
1 answer:
alexandr402 [8]3 years ago
6 0

Answer:}

In polar coordinates P is

P  ( 12 ; 2.618 )  

Step-by-step explanation:

The point (ectangular coordinates)  

P ( -6√3  ;   6 )       P  (  x ; y )

Polar coordinates   P ( r  ;  θ )

x = r cos θ

y = r sin θ                  r > 0    and     0  ≤ θ ≤ 2π

Then

r  =  √ (x)² + (y)²        r  =  √(36)²*3 +( 36)²       r = √144

r  =  12   (hypothenuse module always positive)

The point   P  ( -6√3  ;   6 )   is in second cuadrant  between 90° and 180°

angle between  r  and horizontal axis x  is equal to θ

tan α =  l.opp/ l.adj.    tan θ =  y/x       tan θ = - 6 /6√3

tan α = - 1/√3

Then α  =  180⁰ - 150⁰  = 30⁰  or     θ =  150⁰

to express that value in radians we have :

1 π radian      =   180⁰         ⇒   3,1416   radians  =  180⁰

                                                      x ??                  =   150⁰

x =  radians

Finally the point is   P  ( 12 ; 2.618 )  

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a man spends 42% of his salary on food and 12% on transport. if the amount he spent on food is Rs 16800, how much was his transp
FinnZ [79.3K]

The man's transport cost is Rs 4800

Step-by-step explanation:

  • Step 1: Given that the amount the man spent on food = Rs 16800 which is 42% of his salary. Form an equation where his salary is x.

42% of x = 16800

42/100 × x = 16800

42x = 1,680,000

x = 1,680,000/42 = Rs 40,000

∴ Salary is Rs 40,000

  • Step 2: Calculate the man's transport cost.

12% of 40000 = 12/100 × 40000 = Rs 4800

8 0
3 years ago
Paloma used these steps to solve the equation 6x+5=3(2x+1). Which choice describes the meaning of her result, 2=0?
vfiekz [6]

Answer:

The equation is false and has no solutions.

Step-by-step explanation:

6x + 5 = 3(2x + 1)


Distributive property.


6x + 5 = 6x + 3


Cancel like terms.


5 = 3


Subtract 3 from both sides.


2 ≠ 0


The equation is false and has no solutions.


This means that these two lines never cross, and thus there is no common solution.

4 0
3 years ago
Read 2 more answers
Help with 8th-grade middle school math show work
ss7ja [257]

Answer:

So for the triangle, we have x = 25 and the angles 45-75-60.

So for the quadrilateral, we have x = 75 and the angles 70-110-75-105.

Step-by-step explanation:

For each of these problems, we can simply add the expressions of the angles given matched to the sum of the angles for the shape given below.  Once we do this, we can solve for x, and then state the given measures of each angle of the shapes.

<u>For the triangle:</u>

60 + ( x + 20 ) + 3x = 180

60 + x + 20 + 3x = 180

60 + 20 + x + 3x = 180

80 + x ( 1 + 3 ) = 180

80 + x ( 4 ) = 180

80 + 4x = 180

4x = 100

x = 25

We have the given angles:

x + 20 ==> 25 + 20 ==> 45

3x ==> 3 (25) ==> 75

60

So for the triangle, we have the angles 45-75-60.

<u>For the quadrilateral:</u>

( x - 5 ) + ( x + 35 ) + x + 1.4x = 360

x - 5 + x + 35 + x + 1.4x = 360

35 - 5 + x + x + x + 1.4x = 360

30 + x ( 1 + 1 + 1 + 1.4 ) = 360

30 + x ( 4.4 ) = 360

30 + 4.4x = 360

4.4x = 330

x = 75

So, we have the given angles:

x - 5 ==> 75 - 5 ==> 70

x + 35 ==> 75 + 35 ==> 110

x ==> 75

1.4x ==> 1.4(75) ==> 105

So for the quadrilateral, we have the angles 70-110-75-105.

Cheers.

3 0
3 years ago
Read 2 more answers
I need help on these please I really need help.<br> It's tomorrow.
alekssr [168]
Mean: add all the values together and divide by how many numbers there are.
Example- 2+4+6+8+10=30
30/5=6. The mean is 6

Median: arrange the numbers in order from least to greatest (counting order). If there is more than one of any number make sure to put them all together. Then find the number in the middle. That's the median. If there isn't one number in the middle, take the two 'middle' numbers, add them together and divide by 2. That will be the median
Ex- 2, 4, 6, 8, 10 median is 6
Ex- 2, 4, 6, 8, 10, 12 6+8=14 14/2=7 median is 7

Mode: what number shows up the most often? Sometimes there might not be a mode if there are no repeated values.
Ex- 2, 4, 6, 6, 8, 10 the mode is 6, it is in the list more than any other number

Range: the difference of the greatest value and least value
Ex- 2, 4, 6, 8, 10 10-2=8. The range is 8
One thing that is the MOST helpful when finding all of these is to put all the numbers in counting order (least to greatest) before you try to do anything!

Sorry I can't be more specific, it's difficult to read the graphs and charts
8 0
3 years ago
seis manzanas y 8 peras cuestan $26. Cuánto cuesta xada pera y cada manzana sabiendo que cada manzana cuesta el triple de lo que
vodomira [7]

Con un sistema de ecuaciones, tiene-se que:

  • Cada pera cuesta $1.
  • Cada manzana cuesta $3.

--------------

  • Usando la información dada en el texto, se construye un<em> sistema de ecuaciones</em> para encontrar el precio de cada pera e de cada manzana.
  • Yo diré que el precio de cada manzana es x y de cada pera es de y.

--------------

  • <u>La compra de 6 manzanas y 8 peras cuesta $26</u>, lo que significa que una de las ecuaciones es:

6x + 8y = 26

  • <u>Cada manzana cuesta lo triple de cada pera</u>, lo que significa que la outra ecuacione es:

x = 3y

--------------

Aplicando esta relacion en la primera ecuación, se encontra el precio de cada pera.

6x + 8y = 26

6(3y) + 8y = 26

26y = 26

y = \frac{26}{26}

y = 1

Cada pera cuesta $1.

--------------

Para cada manzana:

x = 3y = 3(1) = 3

Cada manzana cuesta $3.

Un problema similar es dado en brainly.com/question/24637096

6 0
3 years ago
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