Enter the absolute value of 6.2 and -7/2

The product  complex number is  z1z2 = r1r2[cos (θ1+θ2) + isin (θ1+θ2)]

[tex]Z_1\times Z_2= r_1(cos \theta_1 + isin \theta_1) \times r_2(cos \theta_2 + isin \theta_2)[/tex]

r-radius/radii

m-modulus/moduli

theta-argument represent angle theta

[tex]= r_1r_2(cos \theta_1 + i sin \theta_1) (cos \theta_2 + isin \theta_2)[/tex]

[tex]= r_1r_2(cos \theta_1 cos \theta_2 + i cos \theta_1 sin \theta_2 + i sin \theta_1 cos \theta_2 + i^2sin\theta_1sin\theta_2[/tex]

The value of i square is

[tex]i^2=-1[/tex]

Therefore,we get,

[tex]= r_1r_2(cos \theta_1 cos \theta_2 + i cos \theta_1 sin \theta_2 + i sin \theta_1 cos \theta_2 + (-1)sin \theta_1 sin \theta_2)[/tex]

[tex]= r_1r_2(cos \theta_1 cos \theta_2 + i cos \theta_1 sin \theta_2 + i sin \theta_1 cos \theta_2 - sin \theta_1 sin \theta_2)[/tex]

Since we know that,

[tex]cos(\theta_1+\theta_2)=cos\theta_1cos\theta_2-sin\theta_1sin\theta_2[/tex]

[tex]sin(\theta_1+\theta_2)=sin\theta_1cos\theta_2+cos\theta_1sin\theta_2[/tex]

So using above value we get,

[tex]= r_1r_2(cos \theta_1 cos \theta_2 - sin \theta_1 sin \theta_2) + i (cos \theta_1 sin \theta_2 + sin \theta_1 cos \theta_2)[/tex]

[tex]=r_1r_2cos(\theta_1+\theta_2)+isin(\theta_1+\theta_2)[/tex]

Therfore the product of the complex number is z1z2 = r1r2[cos (θ1+θ2) + isin (θ1+θ2)].

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Answer:

The direction angle for the vector measured clockwise from the positive x-axis is approximately 105.001°.

Step-by-step explanation:

Let be [tex]P(x,y)[/tex] a point containing the components of a vector, the direction angle for the vector regarding origin ([tex]\theta[/tex]), in sexagesimal degrees, is determined by the following formula:

[tex]\theta = \tan^{-1} \frac{y}{x}[/tex] (1)

Where:

[tex]x[/tex] - x-coordinate of the point P.

[tex]y[/tex] - y-coordinate of the point P.

Let consider that [tex]P(x,y) = (-7.765, 28.978)[/tex]. After a quick inspection, we note that vector stands in the 2nd Quadrant ([tex]x < 0 , y > 0[/tex]). Then, the direction of the angle with respect to the positive x semiaxis is:

[tex]\theta = \tan ^{-1} \left(\frac{28.978}{-7.765} \right)[/tex]

[tex]\theta \approx 105.001^{\circ}[/tex]

The direction angle for the vector measured clockwise from the positive x-axis is approximately 105.001°.

Angle the given vector makes with the positive x-axis when measured counterclockwise is required.

The direction of the angle for the vector measured counterclockwise from the positive x-axis is 105°. The calculations have been shown below by using the concepts of vector.

The given vector is (-7.765,28.978)

The angle is found by the formula

[tex]\theta=\tan^{-1}\dfrac{y}{x}[/tex]

Here,

y = 28.978

x = -7.765

Substituting the given values we get

[tex]\theta=\tan^{-1}\dfrac{28.978}{-7.765}=-74.99=-75^{\circ}[/tex]

So, the required angle is

[tex]180-75=105^{\circ}[/tex]

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Answer:

...........100.........

Step-by-step explanation:

243.6 ÷100=2.436 we don't use 0 before positive number

Answer:

Transitive Property of Congruence

Step-by-step explanation:

If angle 1 is = to angle 2 and angle 2 = angle 3, then angle 1 has to equal angle 3.

Answer:

a) [tex]\frac{1}{24}[/tex] probability that the wheel stops a "lose turn" for a single spin.

b) [tex]\frac{1}{576}[/tex] probability that the wheel stops a "lose turn" for two successive spins.

c) [tex]\frac{1}{13824}[/tex] probability that the wheel stops a "lose turn" for three successive spins.

Step-by-step explanation:

A probability is the number of desired outcomes divided by the number of total outcomes.

24 components on the wheel, one of which is "lose a turn"

This means that each time the wheel stops, there is a [tex]\frac{1}{24}[/tex] probability that it stops at lose a turn.

a.single spin

Only one spin, so:

[tex](\frac{1}{24})^1 = \frac{1}{24}[/tex]

[tex]\frac{1}{24}[/tex] probability that the wheel stops a "lose turn" for a single spin.

b.two successive spins

Two spins, so:

[tex](\frac{1}{24})^2 = \frac{1}{576}[/tex]

[tex]\frac{1}{576}[/tex] probability that the wheel stops a "lose turn" for two successive spins.

c. three successive spins

Three spins, so:

[tex](\frac{1}{24})^3 = \frac{1}{13824}[/tex]

[tex]\frac{1}{13824}[/tex] probability that the wheel stops a "lose turn" for three successive spins.

Answer:

5/8

Step-by-step explanation:

Answer:

volume of cyclinder=πr²h

=3.14×2²×3=37.68cm³

rectangular prism volume=6×5×7

=210cm³

total volume=37.68+210=247.68cm³

Step-by-step explanation:

1) Cylinder

d = 4 cm

h = 3 cm

r = d : 2

= 4 : 2

= 2

= 3.14 × 2² × 3

= 37.68 cm³

2) Rectangular prism

l = 6 cm

w = 5 cm

h = 7 cm

= 6 . 5 . 7

= 210 cm³

3) Total Volume

= 37.69 + 210

= 247.68 cm³

Answer:

Step-by-step explanation:

area = [tex]\pi r^{2}[/tex]

so the area of the circle is

[tex]8^{2} \pi[/tex] which equals 64pi

BUT we have the white circles so we need to find their areas and subtract it

THE WHITE CIRCLES:

diameter = 4 so radius = 2

[tex]\pi 2^{2}[/tex] which equals [tex]4\pi[/tex]

which you double since theres TWO white circles so = [tex]8\pi[/tex]

so 64[tex]\pi -8\pi =56\pi[/tex]

[tex]56\pi =175.00[/tex]

Answer:

20

Step-by-step explanation:

becauseit is just below 30

Answer:

7y(3x+2)

you take out the 7y from both sides

Answer:

-2 is answer

plz plz plz plz mark me brainliest

Step-by-step explanation:

* 3x + 7 =1

or 3x = 1 - 7

or 3x = -6

or x = -6/3

or x = -2

Answer:

Tu respuesta

Step-by-step explanation:

1.) https://www.letsanswers.com/calcula-el-area-de-un-circulo-con-circunferencia-de-37-68-unidades/

Answer:

A

Step-by-step explanation:

-9 must be a bigger number then x and it is a greater then not a greater or equal to sign menaing the circle will be empty and the blue part or x will be to the left of -9

Answer:

A

Step-by-step explanation:

Answer:

d. 14 and 240.

Step-by-step explanation:

Given that

The regression model involving 14 independent variables and 255 observations

We need to find out the numerator and denominator freedom degrees

k = 14 regression variable

= n - k - 1

= 255 - 14 - 1

= 240 residuals

df=14,240

  Now The degrees of freedom for F -critical is

F_{k,n-k-1}=F_{14,240}

So, The df of the numerator is 14 and df of the denominator is 240

Answer: 48

Step-by-step explanation:

30-2 is 28 and 4 times 4 times 5 is 80 and 2 times 2 is 4 and 80 divided by 4 a 20 and 28 plus 29 is 48.

Answer:

886.13sq. units

Step-by-step explanation:

If the figure is a triangle

Area of the triangle =  1/2 ab sintheta

Given

a = 41 units

b = 23 units

theta = 70°

Area of the triangle  = 1/2 * 41 * 23 sin 70

Area of the triangle = 943 sin70

Area of the triangle = 943(0.9397)

Area of the triangle = 886.13

Hence the area of the triangle is 886.13sq. units

Answer:

Sample response: The Smith family has 2 choices to make, color and style. By the fundamental counting principle, the product of the number of choices of color and style must equal 8. So, there could be 1 color and 8 style choices, 2 colors and 4 styles, 4 colors and 2 styles, or 8 colors and 1 style.

Step-by-step explanation:

Answer:

C. 16 fl. oz.

Step-by-step explanation:

hope this helps.

Answer:

Bessie drank 34,000 mL of water.

Step-by-step explanation:

1 liter (L) = 1000 milliliters (mL)

Set up equation:

34 L × 1000 mL

Solve:

34,000 mL

Answer:

B and d

Step-by-step explanation:

Brainliest pls.

<3<3<3<3<3<3<3<3<3<3<3<3<3<3<3<3<3<3<3<3<3<3<3

Answer:

4x ^ 11 sqrt 5

<3<3<3<3<3<3<3<3<3<3<3<3<3<3<3<3<3<3<3<3<3<3<3

Answer:

4x^11 [tex]\sqrt{5}[/tex]

Step-by-step explanation:

You can simplify the 20 inside of the radical by finding its prime factors. 20 has 3 prime factors: 5, 2, and 2. Since the 2 occurs twice, we can cancel out those 2s in the 20 itself and put a singular 2 outside of the radical. It is essentially turning [tex]\sqrt{20}[/tex] into 2[tex]\sqrt{5}[/tex]. Since we now have simplified that 20, the entire equation is now 4x[tex]\sqrt{5x^2^0}[/tex]. We can root x^20 to get x^10, and [tex]\sqrt{5}[/tex] stays that way. The entire equation is now 4x[tex]\sqrt{5}[/tex]x^10, which can be simplified to [tex]4x^1^1\sqrt{5}[/tex].

Answer:

1.) B

2.) A

3.) B

Step-by-step explanation:

Answer:

Step-by-step explanation:

dilate the triangle with respect to the origin using a scale factor of 2 and then translate it 6 units down and 8 units right.

Answer:

you are correct! nonlinear

Step-by-step explanation:

when this equation is graphed it forms a curved line-- making it non linear :)

Answer:

you would take 14 secs lol hahaha

Step-by-step explanation:

Answer:

2

Step-by-step explanation:

Answer:

this question answer is 1500cm^3

Answer:

S₁₀=620

Step-by-step explanation:

This is an arithmetic sequence with a common difference of d=12

The formula for an arithmetic series is Sₙ=(n/2)(a₁+aₙ) where aₙ is the nth term and a₁ is the first term.

We know that a₁=8 and d=12 where the 10th term would be a₁₀=8+(10-1)12=116.

Therefore, the sum of the first 10 terms of the arithmetic series is S₁₀=(10/2)(8+116)=(5)(124)=620