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3 years ago

Convert the polar expression of this complex number into its rectangular form:

Mathematics

2 answers:

Sergio [31]3 years ago

7 0

Answer:MARK BRAINLLEST MARK BRAINLLEST

(−5/2, 5/2√3)

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Step-by-step explanation:

Volgvan3 years ago

3 0

Answer:

$(-2,2\sqrt{3})$

Step-by-step explanation:

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Mrs. Kelso and Mr. Bonham gave each of their students a small bag of colored tiles. The students each counted the number of purp

Scilla [17]

Answer: a. The range of the data for Mr. Bonham’s class is less than the range of the data for Mrs. Kelso’s class.

Step-by-step explanation:

From the box plot, we can see data for Mr Bonham's class and Mrs Kelso's class.

Interpreting the box plot:

For Mr Bonham's class, the data from the box plot is obtained as between the range of 6 and 16. This means:

6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16

Calculating the range for Mr Bonham's class,

Range = Highest - Lowest = 16 - 6 = 10

For Mrs. Kelso's class, the data from the box plot is obtained as between the range of 5 and 17. This means:

5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17

Calculating the range for Mr Bonham's class,

Range = Highest - Lowest = 17 - 5= 12

Therefore, from the calculation above, affect comparing the range of data from Mr Bonham's class to that of Mrs Kelso's class we can see that Option a. "The range of the data for Mr. Bonham’s class is less than the range of the data for Mrs. Kelso’s class." Is the correct Option.

5 0

2 years ago

Hannah has 67.32 centimeters of wire. She uses 2 pieces of the wire.

mojhsa [17]

Answer:

38.46 (Rounded: 38.5)

Step-by-step explanation:

67.32-2(14.43)=38.46

3 0

4 years ago

Area of a circle with a circumference of 18.84

podryga [215]

Answer:

The area of a circle with a circumference of 18.84 is 28.26 units²

Step-by-step explanation:

Given:

Circumference = 18.84

Let R be the Radius of a Circle

pi = 3.14

To Find:

Area of Circle = ?

Solution:

We Know that,

$Circumference = 2\pi Radius$

Substituting the values we get the radius

$18.84=2\times 3.14\times Radius\\\\18.84 = 6.28\times Radius\\\\\therefore Radius =\frac{18.84}{6.28} \\\\\therefore Radius = 3\ unit\\$

Now Formula for calculating Area of Circle is given as

$\textrm{Area of Circle} =\pi (Radius)^{2}$

Substituting the Radius we get

$\textrm{Area of Circle} =3.14\times 3^{2}\\\\\textrm{Area of Circle} =28.26\ units^{2}$

The area of a circle with a circumference of 18.84 is 28.26 units²

7 0

3 years ago

Read 2 more answers

there are 120 people attending a wedding reception. There are 16 tables. Some are round and some are square. the round table sea

alexira [117]

So I won't tell you the answer but I will give you a clue. do 120 times 16 - 8 + 6

3 0

4 years ago

Solve the system of equation

nikdorinn [45]

Answer:

So the Point of intersection is (-4,-2)

Which is option A

Step-by-step explanation:

The given system of equations is

-0.1x - 0.8y = 2 ...................(i)

0.6x - 0.5y = -1.4 ...................(ii)

Let us take equation (i) and use method of substitution for solving it

the equation (i) is

-0.1 x - 0.8y = 2

Adding 0.8y on both sides

-0.1 x + 0.8 y - 0.8 y = 2 + 0.8 y

-0.1 x = 2 + 0.8 y

Dividing both sides -0.1

$\frac{-0.1 x}{-0.1}=\frac{0.8 y}{-0.1}+\frac{2}{-0.1}$

x = -8 y - 20 ..........................(iii)

Now we will use this value and put it into equation (ii) to find the value of y

Equation (ii) is

0.6 x - 0.5 y = -1.4

Put value of x

0.6(-8 y - 20) - 0.5 y =-1.4

It becomes

-4.8 y - 12 - 0.5 y = -1.4

adding 12 on both sides

-4.8 y - 0.5 y - 12 + 12 = -1.4 + 12

it becomes by solving

-5.3 y = 10.6

Dividing both sides by -5.3

$\frac{-5.3*y}{-5.3}=\frac{10.6}{-5.3}$

y = -2

Now we have the value of y putting it in equation (iii)

Equation (iii) is

x = -8 y - 20

Putting value of y

x = -8*(-2) - 20

x = 16-20

x=-4

So the Point of intersection is (-4,-2)

7 0

3 years ago