Convert the following complex number into its polar representation:
-40
O A. 4(6052isang
37
B. 2(cos(+ isin)
C. 16(COST* isin x)
O D. -4(cose i sin

Answer:

The answer is 61

Step-by-step explanation:

The anwer is 61 becuase a triangle =180

so if 67 and 52 =119 then you have  to subtract that from 180 getting

61!!!!

Hope this helps

Stay safe:)

Answer:

[tex]61 \: \: degrees[/tex]

Step-by-step explanation:

[tex]67 + 52 + x = 180 \\ 119 + x = 180 \\ x = 180 - 119 \\ x =6 1 \: \: degrees[/tex]

hope this helps

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good luck! have a nice day!

Answer:

B) Conditional

because it is a " if... then"

Answer:

[tex]160^\circ[/tex] is the degrees value of [tex]\theta = \dfrac{8 \pi}{9}[/tex].

Step-by-step explanation:

We are given the following details about the angle [tex]\theta[/tex]:

[tex]\theta =\dfrac{8\pi}{9}\text{ radians}[/tex]

It is know that the relation between radians and degree units is as follows:

[tex]\pi \text{ radians} = 180 ^\circ[/tex]

We can use simply use unitary method to convert radian value of [tex]\theta[/tex] to degrees.

[tex]\pi \text{ radians} = 180 ^\circ[/tex]

[tex]\Rightarrow 1 \text { radian}= \dfrac{\pi}{180} ^\circ[/tex]

[tex]\Rightarrow \dfrac{8\pi}{9} \text{ radians} = \dfrac{180}{\pi} \times \dfrac{8\pi}{9} ^\circ\\\Rightarrow \dfrac{180 \times 8}{9}^\circ\\\Rightarrow 20 \times 8^\circ\\\Rightarrow 160 ^\circ[/tex]

Hence, [tex]\theta = 160^\circ[/tex]

Answer:

Step-by-step explanation:

[tex]Distance=\sqrt{(x_2-x_1)^{2}+(y_2-y_1)^{2}} \\[/tex]

A(3,-2) ;  B(6,-2)

[tex]AB=\sqrt{(6-3)^{2}+(-2-[-2])^{2}}\\\\ =\sqrt{3^{2}+(-2+2)^{2}}\\\\=\sqrt{9+0}=\sqrt{9}\\\\[/tex]

AB = 3 units

B(6,-2) ;  C(6,5)

[tex]BC=\sqrt{(6-6)^{2}+(5-[-2])^{2}} \\\\=\sqrt{0+(5+2)^{2}}\\\\=\sqrt{(7)^{2}}\\[/tex]

BC = 7 units

Area of rectangle = length * width

                             = AB * BC

                             = 3 * 7

                             = 21 square units

Answer:

[tex] T_{-6, 1} \circ r_{x-axis} (x, y) [/tex]

Step-by-step explanation:

We can see in the picture that the first step is transform ABCD to A'B'C'D'. To do this, ABCD is reflected over the x-axis.

Then, A'B'C'D' should be translated -6 units to the right, that is, on the x-axis; and 1 unit up, that is, on the y-axis.

The composition transformation process is from ABCD to A'B'C'D', then

to A''B''C''D''.

Correct response:

The given coordinates of the pre-image ABCD are;

A(3, 5), B(6, 5), C(4, 1), D(1, 1).

The coordinates of the image D'C'A'B' are;

A'(3, -5), B'(6, -5), C'(4, -1), and D'(1, -1).

Therefore, the rule that gives the coordinates of A'B'C'D' from ABCD

(x, y) [tex]\underrightarrow{Rule}[/tex] (x, -y)

The rule for a reflection across the x-axis is; (x, y) [tex]\underrightarrow{r_{x-axis}}[/tex] (x, -y)

Therefore;

The rule that gives A'B'C'D', from ABCD is a reflection across the x-axis.

The rule that gives A''B''C''D'' from A'B'C'D' is the a translation 6 units left and 1 unit up, which is; [tex]\mathbf{T_{-6, \, 1}}[/tex]

Therefore composition transformation that maps pre-image ABCD to

final image A''B''C''D'' is given by a reflection followed by a translation,

with the second transformation coming first in the expression as follows;

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Break it into 2 shapes :

1 = 7 x 14 = 98

2 = 5 x 5 = 25

Now add them together:

Total area = 98 + 25 = 123 square mm

Answer:

C

Step-by-step explanation:

The new rate would be 3.75% when Peter's bank offered him a 4.85% interest rate for his mortgage. If he purchases 3 points.

A mortgage is an agreement between you and a lender that gives the lender the right to take your property if you fail to repay the money you've borrowed plus interest.

Mortgage loans are used to buy a home or to borrow money against the value of a home you already own.

Purchasing a point simply implies negotiating for a lower rate of interest, which involves paying 1% of the loan in lieu of 1% interest reduction.

A point implies a reduction in interest rate by 0.25% while 3 points would reduce the interest rate by 0.75%(0.25%*3)

New interest rate=4.5%-0.75%=3.75%

To know more about Mortgage follow

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Answer:

Step-by-step explanation:

Its not 56 feet, i got it wrong

The height of the basketball at 1 second will be 24 feet. Then the correct option is A.

A function is an assertion, concept, or principle that establishes an association between two variables. Functions may be found throughout mathematics and are essential for the development of significant links.

A basketball is shot into the air. Its height is represented by the polynomial equation which is given below.

h(t) = –16t² + 35t + 5

Where h is the height of the basketball at t seconds.

The height of the basketball at 1 second will be given as,

h(1) = –16 × (1)² + 35 × 1 + 5

h(1) = –16 + 35 + 5

h(1) = –16 + 40

h(1) = 24 feet

The height of the basketball at 1 second will be 24 feet. Then the correct option is A.

More about the function link is given below.

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Answer:

Perimeter ⇒ 33 ( units )

Step-by-step explanation:

As you can see, the points share a common y - value, so that they should be positioned with a horizontal distance among them;

[tex]Distance Among Points ( - 9, - 2 ), and ( - 2, - 2 ) , 9 + 2 = 11 units difference,\\[/tex]

Now if the difference is 11 units, we can determine the perimeter of this equilateral Δ assuming the sides are of equal length ( ≅ ) knowing that they do ∈ to an equilateral Δ;

[tex]Side 1 Length - 11 units,\\Side 2 Length - 11 units,\\Side 3 Length - 11 units,\\\\Perimeter = 11 * 3 = 33 units,\\\\Perimeter of Triangle PQR = 33 ( units )[/tex]

Solution; Perimeter ⇒ 33 ( units )

Answer:

33

Step-by-step explanation:

Answer:

43756

Step-by-step explanation:

Multiply

We need to write the given number in standard form.

The standard form of the given number is [tex]43756[/tex].

The given number [tex]4.3756\times 10^4[/tex] is in scientific form.

The scientific form of a number is given by

[tex]m\times 10^n[/tex]

where, [tex]m[/tex] is a non zero number generally between one and ten

and [tex]n[/tex] is the exponent which is an integer.

The standard form is the product of [tex]m\times 10^n[/tex]

So, the standard form of the given number is [tex]43756[/tex].

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Answer:

20 minutes

Step-by-step explanation:

The mean, or average of a data set can be found by adding all the values together, and dividing by the number of values.

The data set is: 20 minutes, 22 minutes and 18 minutes

1. Add the values together

Add all the numbers in the set together.

Data set: 20, 22, 18

Add them: 20+22+18

60

2. Divide by the number of values

Count how many numbers are in the set.

In this set, there are 3 numbers.

Divide 60 by 3

60/3 =20

20 minutes

His mean time is 20 minutes.

Answer:

30 minutes

Step-by-step explanation:

Mean means the average so the average equals (20+22+18)/2

= 30

Answer:

D. $397. 54

Step-by-step explanation:

Answer:

257.33

Step-by-step explanation:

Answer:

um idk- if I got this right but I got B or C...

Answer:

A

Step-by-step explanation:

A rhombus is made up of 4 sides of equal length.

Also my sis took the quiz and that was the answer.

HOPE THIS HELPS!

and sorry I'm late

Answer:

The distance between the pair of points is 5 units.

Step-by-step explanation:

The first thing we must know in order to solve this problem is the distance formula.

[tex]Distance(d)=\sqrt{(x_{2}-x_{1} )^2+(y_{2}-y_{1})^2}[/tex]

We will use the coordinate point (2,0) for our (x₂,x₁) and the coordinate point (6,-3) for our (y₂,y₁). Now, let's plug in these numbers into our formula.

[tex]d=\sqrt{(6-2)^2+(-3-0)^2}[/tex]

[tex]d=\sqrt{(4)^2+(-3)^2}[/tex]

[tex]d=\sqrt{16+9}[/tex]

[tex]d=\sqrt{25}[/tex]

[tex]d=5[/tex]

So, the distance between the two given points is 5 units.

Answer:

x=15°

Step-by-step explanation:

Angles ∠2 and ∠4 are supplementary, so ∠2+∠4=180°

That equals to 2x+10+4x+80=180.

You can solve that equation to find what x is equal to.

2x+10+4x+80=180

6x+90=180

6x=90

x=15°

Step-by-step explanation:

This isn't a function. In the second quadrant there are two y-values for the x value of -2. Your answer is B.

Answer:

B

Answer: It’s A

Step-by-step explanation:

Answer: 47, 74

Step-by-step explanation:

Let x = units digit

x – 3 = tens digit

Then the number is 10(x – 3) + x and the reversed number is 10(x) + (x – 3)

Equation

The reversed number plus the original number equal 121.

10(x) + (x – 3) + 10(x – 3) + x = 154

10x + x – 3 + 10x -30 + x = 121

22x – 33 = 121

22x = 154

x = 7 (units digit)

x – 3 = 4 (tens digit)

Answer

The number is (4 X 10) +7 or 47.

Answer:

15x + 10.

Step-by-step explanation:

To find the area of a rectangle, recall the formula is A = l × w. Therefore:

A = (3x + 2) (5)

Distribute the '5':

A = 15x + 10

Therefore, the area of the rectangle of 15x + 10.

Answer:

15x+10 units ^2

Step-by-step explanation:

The area of a rectangle can be found using:

A = l * w

The length of the rectangle is 3x+2 and the width is 5.

l=3x+2

w=5

Substitute these values into the formula.

A= 3x+2 *5

This can be rewritten as: (Commutative property of Multiplication)

A= 5* 3x+2

A= 5(3x+2)

Distribute the 5. Multiply each term inside the parentheses by the number outside the parentheses.

A= (5*3x) + (5*2)

A= 15x +10

A= 15x+10 units^2

The area of the rectangle is 15x+10 square units.

Answer:

=i2xy2−4ix2y2+4x3y2−2xy+y

Step-by-step explanation:

Let's simplify step-by-step.

y(1−2x)+xy2(i−2x)2

Distribute:

=(y)(1)+(y)(−2x)+i2xy2+−4ix2y2+4x3y2

Answer: =y+−2xy+i2xy2+−4ix2y2+4x3y2

Hope this helps.

Answer:

[tex]x^{\frac{1}{8} } y^{8}[/tex]

Step-by-step explanation:

[tex]x^{1/4 \times 1/2} y^{16 \times 1/2}[/tex]

[tex]x^{1/8} y^{8}[/tex]

Answer:

x^1/8 y^8

Please see the attached picture for full solution

Hope it helps

Good luck on your assignment

Graph A

I just took the quiz on edge

The graph that shows the image of ABCD is graph A. which shows that   On a coordinate plane, parallelogram A'B'C'D' has points (-2, 5), (0, 3), (0, -1.2), (-2, 1)

A parallelogram is known to be a kind of quadrilateral angles that is known to have two pairs of parallel sides.

When you look at the options, None of them are not good matches to the real coordinates. When you round up to tenths, they should be:

Therefore, the  closest match is graph A.

See full question below

Parallelogram ABCD is rotated 45° counterclockwise using the origin as the center of rotation. On a coordinate plane, parallelogram A B C D has points (2, 5), (2, 2), (negative 1, negative 1), (negative 1, 2). Which graph shows the image of ABCD? On a coordinate plane, parallelogram A prime B prime C prime D prime has points (negative 2, 5), (0, 3), (0, negative 1.2), (negative 2, 1). On a coordinate plane, parallelogram A prime B prime C prime D prime has points (negative 2, 5), (negative 2, 1), (0, negative 1), (0, 3). On a coordinate plane, parallelogram A prime B prime C prime D prime has points (5, 2), (3, 0), (negative 1.5, 0), (0.5, 2). On a coordinate plane, parallelogram A prime B prime C prime D prime has points (5, 2), (1, 2), (negative 1.5, 0), (2.8, 0).

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Answer:

Center (0, 1)

Radius 1

x-intercept (0, 0)

y-intercept (0, 0), (0, 2)

Step-by-step explanation:

(1) A circle that has center (a, b) and radius r can have the equation as below:

(x - a)^2 + (y - b)^2 = r^2

Re-write the original equation: x^2 + (y - 1)^2 = 1, we have:

(x - 0)^2 + (y - 1)^2 = 1^2

=> The center of this circle: (a, b) = (0, 1) and the radius r = 1

(2) To find out the x-intercept, we substitute y = 0 into original equation.

=> x^2 + (0 - 1)^2 = 1

=> x^2 + 1 = 1

=> x^2 = 0

=> x = 0

=> x-intercept (0, 0)

(3) To find out the y-intercept, we substitute x = 0 into original equation.

=> 0^2 + (y - 1)^2 = 1

=> (y - 1)^2 = 1

=> y - 1 = -1 or y - 1 = 1

=> y = 0 or y = 2

=> y-intercept (0, 0) and (0, 2)

Hope this helps!

Answer:

It costs $34 to buy a box of 64 markers.

Step-by-step explanation:

Check whether we are working with a direct proportion, in which case the comparison between the price and the number of markers would be the same.

$ 14  ÷  24  =  $0.58   and   $ 7 ÷  10  =  $ 0.70

The prices differ, so they are not directly proportional.

The reason is that both prices include the price of the box, which is the same. This can be thought of as the constant.

If you were to draw a graph of price (on the  y -axis) and number of markers (on the  x -axis) you would get a straight line where the  

y -intercept would be the price of the box and the slope would be the price of a marker. (rate of change of price)

Let's find the slope.

m = (y _2 − y _1 /x _2 − x _1)

m  =  ($14 −$ 7 /24− 10)  =  ($ 7 /14  markers)  =  $ 0.50 / marker

Therefore each marker costs  

$ 0.50  or  50 c

the price of  64  markers is:

64  ×  0.5 =  $ 32.00  ←  this is just the markers,

How much does the box cost? Consider  

$ 7  for  10  markers at  $ 0.50  each

$ 7  −  10  ×  $ 0.50  =  $ 7 −  $ 5  =  $ 2

The box itself costs  $2

The total cost of  64 markers in a box would be:

$ 2  +  $ 32 =  34#

Answer:

the answer is a. hope this working helps

Answer:

2

Step-by-step explanation:

We can find the slope of the line using

m = (y2-y1)/(x2-x1)

    = (-2-2)/(-3- -1)

   = -4/(-3+1)

    = -4/(-2)

     =2

Answer:

7 weeks

Step-by-step explanation:

4.9/0.7=7

Answer:

1,584in

Step-by-step explanation: