what is the ratio?
please answer quickly!!!!!

Answer:

[tex]\frac{z_1}{z_2} = 3(cos(240^o) + isin(240^o))[/tex]

Step-by-step explanation:

Given

[tex]z1 = 12(cos(320^o) + isin(320^o))[/tex]

[tex]z2 = 4(cos(80^o) + isin(80^o))[/tex]

Required

[tex]Quotient = \frac{z_1}{z_2}[/tex]

We have:

[tex]Quotient = \frac{12(cos(320^o) + isin(320^o))}{4(cos(80^o) + isin(80^o))}[/tex]

Divide 12 by 4

[tex]Quotient = \frac{3(cos(320^o) + isin(320^o))}{(cos(80^o) + isin(80^o))}[/tex]

Solve using the following rule:

[tex]\frac{(cos(a) + isin(a))}{(cos(b) + isin(b))} = \cos(a - b) + isin(a - b)[/tex]

So, we have:

[tex]Quotient = \frac{3(cos(320^o) + isin(320^o))}{(cos(80^o) + isin(80^o))}[/tex]

[tex]Quotient = 3(cos(320^o-80^o) + isin(320^o-80^o))[/tex]

[tex]Quotient = 3(cos(240^o) + isin(240^o))[/tex]

Hence:

[tex]\frac{z_1}{z_2} = 3(cos(240^o) + isin(240^o))[/tex]

Answer:

A. Perimeter

Step-by-step explanation:

I calculated it logically

Answer:

17

Step-by-step explanation:

√(3-(-5))²+(-8-7)²

√(3+5)²+(-15)²

√8²+225

√64+225

√289

=17

The distance between two points L(-5, 7) and M(3, -8) is 17 units.

Distance is a numerical measurement of how far apart objects or points are. In Physics or everyday usage, distance may refer to a physical length or an estimation based on other criteria.

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

Distance  = [tex]\sqrt{(3-(-5))^{2} + (-8-7)^{2} }[/tex]

D = [tex]\sqrt{8^2+15^2}[/tex]

D =[tex]\sqrt{64 + 225}[/tex]

D = [tex]\sqrt{289}[/tex]

D = 17 units

Thus, the distance between two points L(-5, 7) and M(3, -8) is 17 units.

Learn more about Distance from:

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Answer:

2nd term is 8.

nth term is 3n + 2.

Step-by-step explanation:

nth term = 5 + 3(n - 1)

= 3n + 2

Answer:

C: 12x + 40

Step-by-step explanation:

We are told that the Cost to rent tables from Company A is;

f(x) = 4x + 25

Also, we are told that the Cost to rent tables from Company B is;

g(x) = 2(4x) + 15

Thus, total cost for Lorenzo to rent x number of tables and the chairs he needs is;

Total = f(x) + g(x)

Total = 4x + 25 + 2(4x) + 15

Total = 4x + 25 + 8x + 15

Total = 12x + 40

Answer:

the answer is c

Step-by-step explanation:

Answer:   nonexperimental study

Instead, this is a survey

==================================================

Explanation:

We have a survey being conducted because the researchers are asking the students the questions. It's not an experiment because the students aren't being broken up into two groups (control group vs treatment group) to see the difference between the two if any.

Answer:

Uneducated people.

Step-by-step explanation:

Stay

In

School

Kids

Answer:

Well, 5 I think and also what adrian are u talking about?

Step-by-step explanation:

Answer:

27

Step-by-step explanation:

30/2=15 +12=27

Answer:

72

Step-by-step explanation:

30/(1/2) = 60

60+12 =72

Answer:

Step-by-step explanation:

no of men                                no of days

15                                             20

25                                            let be x

it is in indirect proportion

15/25=x/20

do cross multiplication

25*x=20*15

25x=300

x=300/25

x=12

therefore ot will take 12 day to complete the same wall by 25 men.  

Answer:

1. AC = EC

Step-by-step explanation:

As it says that the figure has to be proved by SAS postulate. We know that, SAS stands for Side - Angle - Side, so we need to prove that any two sides and one angle of two triangles are equal/proportional or not.

Given, BC = CD, and angle ACB = angle DCE.

Therefore, the answer is 1. AC = EC.

Answer:

u>-4

Step-by-step explanation:

muliply both sides by 2

-12< 3u

divide both sides by 3

-4<u

u>-4

Answer:

D.6,600 ft

Step-by-step explanation:

I hope it helps

Answer:

original price - new price

300- 210=90

discount/ original price ×%

90/300×100

=30%

The discount percent is 30%

Answer:

5 minutes

Step-by-step explanation:

Answer:

Step-by-step explanation:

To find x, we need to do opposite operations.

x+6=17

Subtract 6 from both sides, since subtraction is the opposite of addition, thus cancelling the 6 out.

x+6=17

 -6   -6

x=11

So x is 11.

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hope it helps

Answer:

Step-by-step explanation:

6+x=17

x=17-6

x=11

Answer:

its c

Step-by-step explanation:

Answer:

The answer is 18

hope this helps

have a good day :)

Step-by-step explanation:

Answer:

The perimeter of the rectangle =18 in

Step-by-step explanation:

Given, Area of rectangle= 14 in

Length(l) of one side = 7 in

We know,

Area = lxb

or, 14 = 7xb

or, b = 2 in

then the perimeter of the rectangle = 2x(l+b)

= 2x(7+2)

= 2x9

=18in

Answer:

2 · 10¹⁵ seconds

Step-by-step explanation:

1.2 · 10⁵

2.4 · 10²⁰

2.4 · 10²⁰ ÷ 1.2 · 10⁵

2 · 10²⁰ ⁻ ⁵

2 · 10¹⁵

It took the message 2 × 10¹⁵ seconds to travel from one object to the other.

To be able to solve this problem, we need to understand the relation between speed and distance.

Speed is the change of an object's position with time, the distance is the space covered with a specified range of time.

The relation between Speed and distance can be expressed by using the relation:

[tex]\mathbf{speed = \dfrac {distance}{time}}[/tex]

From the parameters given:

The time it took the message to travel from one object to the other can be determined by making time(t) the subject of the formula from the above equation:

i.e.

[tex]\mathbf {time = \dfrac{distance} {speed}}[/tex]

[tex]\mathbf {time = \dfrac{2.4 \times 10^{20}\ cm} {1.2 \times 10^5 \ cm/s}}[/tex]

time = 2 × 10¹⁵ seconds

Learn more about speed and distance here:

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Answer:

A

Step-by-step explanation:

Part a: Complimentary

Part b: B 71 degrees.

Step by step explanation: The figure above is a right angle split into two parts, making it a complimentary angle. Since you have the measure of AB which is 19 degrees, you now subtract that from 90 because it is a right angle. 90-19= 71, making B the correct answer.

Answer:

x = 5

Step-by-step explanation:

I didn't quite understand what you were asking but x should equal 5

Answer: 1 is the answer because nothing time _ will equal 5 but 1 times anything equal that number So its 1

Answer:

you have to suppose a imaginary parallel line at E cutting the angle b and find both angles by alternate and add them.

Answer:

the answer would be 9 + i

Step-by-step explanation:

Answer:

the first two are true and the last two are false

Answer:

equilateral triangle

Step-by-step explanation:

equilateral triangle

A triangle: An equilateral triangle is a regular polygon with three equal side lengths and three equal angles.

Answer:

B) can be calculated by subtracting the fitted values from the actual values.

Step-by-step explanation:

'Multiple Regression Model' is characterized as the further augmentation of the 'linear regression model.' which is employed to predict a dependent variable's value on the basis of other provided variables(independent). It also helps in showing the linear association among these variables.

In this model, the OLS residuals can be determined by deducting the adapted values from the real values. Thus, there would be a subtraction of the calculated value from the predicted value to find the value of residual. The 'distinction between the actual and fitted values itself is characterized as the residual.' Therefore, option B is the correct answer.

Answer:

b(a+c) this is answer okay

Answer:

Step-by-step explanation:

ab+bc

b(a+b)

u can add two term only if they have same base.

Answer:

3 = a(-1-6)(-1+5).

Step-by-step explanation:

y = a(x - 6)(x + 5)

When x = -1, y = 3 so we have:

3 = a(-1-6)(-1+5).