The perimeter of a parallelogram whose parallel sides have lengths equal to 12 cm and 7cm is: ​

In polar form the expression is ( 14 , 30 )

To convert the expression x +iy  to polar form ( r , [tex]\rm \theta[/tex] ) , the standard equations used are

r = [tex]\rm \sqrt {x^2 + y^2}[/tex]

tan [tex]\rm \theta[/tex] = y/x

The given expression is

7 √3 - 7i

x = 7 √3

y = -7

r = [tex]\rm \sqrt {(7\sqrt{3})^2 +(-7)^2}[/tex]

r = √196

r = 14

tan [tex]\rm \theta[/tex] = (-7)/(7√3)

[tex]\rm \theta[/tex] = 30 degree

Therefore in polar form the expression is ( 14 , 30 ).

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Answer:The polar form of 7 StartRoot 3 EndRoot minus 7 i is 14(cos(330o) + i sin(330o))

Step-by-step explanation:

Answer:

Now, as you might recall, two lines are parallel when they are always the same distance apart and never intersect. y= -8 is parallel to y=3 and it passes through the point (-2, -8). The equation of this line is y= -8.

Step-by-step explanation:

Answer:

Step-by-step explanation:

Assume that B is directly above A.

x = horizontal distance between Charlie and balloons

 = 1400/tan(60°)

altitude of B = x·tan(82°) ≅ 5751 ft

distance between A and B = 5751-1400 = 4351 ft, which doesn't fit any of the choices. So my initial assumption was incorrect.

Is there any other information? A picture?

The distance between balloon A and balloon B is 1005 feet if Charlie is watching hot air balloons Balloon A has risen at a 60° angle Balloon B has risen at an 82 angle option second 1005 feet is correct.

Trigonometry is a branch of mathematics that deals with the relationship between sides and angles of a right-angle triangle.

The question is incomplete.

The complete question is in the picture, please refer to the attached picture.

We have:

Charlie is watching hot air balloons Balloon A has risen at a 60° angle Balloon B has risen at an 82 angle

In right angle triangle ACD,

tanx = AC/CD

tan60 = 1400/CD

CD = 808.3

In triangle BDE,

tany = BE/DE

tan82 = 1400/DE

DE = 196.8

The distance between balloon A and balloon B:

= CD + DE

= 808.3 + 196.8

=   1005 Feet

Thus, the distance between balloon A and balloon B is 1005 feet if Charlie is watching hot air balloons Balloon A has risen at a 60° angle Balloon B has risen at an 82 angle option second 1005 feet is correct.

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9514 1404 393

Answer:

  (x, y, z) = (124, 112, 42)

Step-by-step explanation:

Opposite angles in an inscribed quadrilateral are supplementary, so ...

  y° = 180° -68° = 112°

The angle marked 71° subtends an arc twice that measure, so ...

  2(71°) = 100° +z°

  z° = 142° -100° = 42°

The angle marked y° subtends an arc twice that measure, so ...

  2y° = 100° +x°

  x° = 2(112°) -100° = 124°

Answer:

The first deal is better, unit rate is 30

Step-by-step explanation:

90/3 is 30, 222/6 is 37. 90 is the better deal

Answer:

-3

Step-by-step explanation:

Answer:

I think it is 0

Step-by-step explanation:

the 9 goes down by 3 so maybe each point goes down 3

Answer:

n=170

Step-by-step explanation:

add 27 to 143

then the equation is n=170

Answer:

$660

Step-by-step explanation:

Answer:

y= 4 , x= -1

Step-by-step explanation:

3x-9y= -39

-3x-7y= -25

-16y= -64

y= -64/-16

y= 4

substitute y into any equation

3x -9(4) = -39

3x-36= -39

3x= -39+36

3x= -3

x= -3/3

x= -1

Step-by-step explanation:

{(-3, -3),(-6, -7), (6,-3), (–9, 2)} {(8,–8), (-9,5), (9,-2), (-2,-8)}

{(-7, -3), (-6, -1), (-6,8), (6, -6)}

Answer:

A = 28.26 cm², P = 38 units, A = 20 units², C = 43.96 units

Step-by-step explanation:

1) Our area of a circle is πr². Since our r = 3 cm, we can just substitute for r.

A = πr²

A = (3.14)(3)²

A = (3.14)(9)

A = 28.26 cm², like in your work.

2) Our formula for perimeter is 2l + 2w. We substitute for l = 12 and w = 7.

P = 2l + 2w

P = 2(12) + 2(7)

P = 24 + 14

P = 38 units

3) The formula for a triangle's area is A = [tex]\frac{1}{2}[/tex]bh, so we substitute for b = 10 and h = 4.

A =  [tex]\frac{1}{2}[/tex] bh

A =  [tex]\frac{1}{2}[/tex] (10)(4)

A =  [tex]\frac{1}{2}[/tex] (40)

A = 20 units²

4) Circumference is 2πr, and we substitute for r = 7.

C = 2πr

C = 2(3.14)(7)

C = (3.14)(14)

C = 43.96 units

Answer:

4,188.79 and when its rounded its 4,188.8

Step-by-step explanation:

Volume of a sphere with a diameter of 20 feet is 4189.33 cubic feet.

Three dimensional shape can be defined as a solid figure or an object or shape that has three dimensions—length, width, and height.

Given,

sphere with a diameter of 20 feet

Diameter is two times of radius

Diameter=2Radius

Radius =Diameter/2

Radius = 20/2=10 feet.

Volume of sphere=4/3πr³

π=3.142

Volume of sphere=4/3(3.142)(10)³

=4/3×3.142×1000

=4189.33 cubic feet.

Hence, volume of a sphere with a diameter of 20 feet is 4189.33 cubic feet.

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Answer:

answers are: (-1,-2), (1,2), (-1,5), (1,-5). in other words, option 2, 6, 7, and 8.

Step-by-step explanation:

hope it helps

Answer:

a9

Step-by-step explanation:

5+4= 9 and its the same variable.

Answer:

10/2 =5

20/2=10

50/2=25

100/2=50

Answer:

false.

hay is for horses, not hey

Step-by-step explanation:

[tex]\tt{}5x + 6y + x + 2[/tex]

[tex]\tt{}6x + 6y + 2[/tex]

[tex]\tt{}2(3x + 3y + 1)[/tex]

Answer:

x × 1/2 - 3

Step-by-step explanation:

in slope intercept form an equation is written in y=mx+b where m is the slope and b is the y intercept

from the graph you can see the line goes up 1 and right 2, up 1 right 2, etc. that means the slope is positive 1/2

the line cross the y access at -3, therefore the y intercept is -3

so

[tex]y = \frac{1}{2} x - 3[/tex]

Answer:

£503.75

Step-by-step explanation:

Andy is buying a car.

Step 1

We calculate the decrease

He negotiated a 7% decrease on a £6 500 car.

Decrease = 7% × £6500

= $455

Step 2

We calculate the new price of the car.

= Old price - Decrease

= £6500 - £455

= £6045

Step 3

We calculate the amount he pays every month.

We are told that:

He will pay the full balance in 12 equal monthly payments.

Andy's monthly payments =

New price/12 months

= £6045/12

= £503.75

Therefore, the amount he would be paying each new month = £503.75

Answer: I ate my dogs bone

Step-by-step explanation:

Answer:

B and C

Step-by-step explanation:

its the answer trust me

Answer:

22 and 29

Step-by-step explanation:

22 is less than 30 but greater then 15

29 is less than 30 but greater than 15

Answer:

6+6=12

9+9=18

12+18=30

30 dollars

Answer:

$30

Step-by-step explanation:

6+6=12

9+9=18

18+12=30

I would assume this was the right answer if not i would need more information to go with the question

Answer:

113.04

Step-by-step explanation:

All you have to do is substitute the r in the equation.

And of course pi is equal to 3.14

V = 4/3(3.14)3^3

That gives you a volume of around 113.04

Answer:

1,200 area of rectangle

20 x 40 divided by 2 = 400

both added will be: 1,600

Answer:

x= - 9

Step-by-step explanation:

x = 27 / - 3

x = -9

Hope this helps

Answer:

x=9

Step-by-step explanation:

-3x=27

or, x=27/-3

or, x= -9

Answer:

Carries earns [tex]40[/tex] dollars

Step-by-step explanation:

Given -

Tara earns $15 less than three  times what Carrie earns.

Total earning of Tara [tex]= 105[/tex] dollars

Let  "X" be the earning of Carrie

[tex]3X - 15 = 105\\3X = 120\\X = 40[/tex]

Carries earns [tex]40[/tex] dollars