Find the quotient of z1 by z2. .Express your answer in trigonometric form.
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]
Blake recorded the number of minutes he ran on the treadmill each day for 2 weeks. His data is in
the table below.
Week 1 Week 2
25 minutes 30 minutes
38 minutes 43 minutes
40 minutes 17 minutes
32 minutes 20 minutes
15 minutes 27 minutes
22 minutes 13 minutes
35 minutes 35 minutes
What is the difference in the median between the two weeks that he ran in his treadmill?
3.14 minutes
3 minutes
2 minutes
5 minutes
Answer:
5 minutes
Step-by-step explanation:
What is the name of a polygon that has three sides and three equal angles
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.
What is the distance between points L(−5, 7) and M(3, −8)?
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.
What is distance ?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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Lorenzo wants to know how much it will cost to rent tables and chairs for an event. He investigates renting tables and chairs and decides to use two different companies. Company A $4 per table (seats 4) and a $25 one-time delivery and pickup fee Company B $2 per chair and a $15 one-time delivery and pickup fee Each table seats 4 people, so Lorenzo needs to rent 4 chairs for every table. x = number of tables Cost to rent tables from Company A: f(x) = 4x + 25 Cost to rent chairs from Company B: g(x) = 2(4x) + 15 Which function represents the total cost for Lorenzo to rent x number of tables and the chairs he needs to go with them? 12x 12x2 + 40 12x + 40 8x + 40
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:
What is another way to look at the circumference of a circle?
a. perimeter
b. area
c. diameter
d. radius
Please select the best answer from the choices provided
Answer:
A. Perimeter
Step-by-step explanation:
I calculated it logically
Morena is painting her bedroom and has a triangle of space left over as shown below. What is the area of the space Morena still needs to paint?
Answer:
its c
Step-by-step explanation:
this is adding and subtracting of like and unlike terms
ab+bc=
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.
15 men can build a wall in 20 days. How long will 25 men take to build the
same wall?
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.
PLEASE HELP I WILL GIVE BRAINLIEST
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.
Gentile, Lynch, Linder, and Walsh (2004) surveyed over 600 8 th- and 9th-grade students asking about their gaming habits and other behaviors. Their results showed that adolescents who experienced more video game violence were also more hostile and had more frequent arguments with teachers. Is this an experimental or a nonexperimental study? Explain your answer.
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.
Divide 30 by half and add 12. What do you get?
Answer:
27
Step-by-step explanation:
30/2=15 +12=27
Answer:
72
Step-by-step explanation:
30/(1/2) = 60
60+12 =72
If 6 is added to x, the result is 17. Find the value of x.
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.
---
hope it helps
Answer:
Step-by-step explanation:
6+x=17
x=17-6
x=11
Given: g(x)=3/x-2
h(x)=9x
PLS I NEED ANSWER TO PASS CLASS
if 2+2 is 4 then who ended up going to Adrian's kickback?
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:
The zeros of a parabola are 6 and -5. If (-1, 3) is a point on the graph, which equation can be solved to find the
value of a in the equation of the parabola?
O3 = a(-1 + 6)-1-5)
O 3 = a(-1-6)(-1 +5)
O -1 = a(3+6)(3-5)
O-1 = a(3-6)(3+5)
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).
What is the 2nd term of the linear sequence below? 5 , 8 , 11 , 14 , 17 , . . .
Answer:
2nd term is 8.
nth term is 3n + 2.
Step-by-step explanation:
nth term = 5 + 3(n - 1)
= 3n + 2
If [×] =5 what is the value of x?
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
Help me PLEASEEEEEEEEEEEEE
Answer:
the first two are true and the last two are false
Solve the inequality for U.
-6 < 3u/2
Answer:
u>-4
Step-by-step explanation:
muliply both sides by 2
-12< 3u
divide both sides by 3
-4<u
u>-4
The OLS residuals in the multiple regression model: A) cannot be calculated because there is more than one explanatory variable. B) can be calculated by subtracting the fitted values from the actual values. C) are zero because the predicted values are another name for forecasted values. D) are typically the same as the population regression function errors.
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.
Helppp meeeeeeeeeeee
two objects are 2.4*10^20 centimeters apart. a messages from one object travels to the other at a rate of 1.2*10^5 centimeters per second. how many seconds does it take the message to travel from one object to the other
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.
What are 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:
Speed = 1.2 × 10⁵ cm/sDistance = 2.4 × 10²⁰ cm Time = (unknown)???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
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FIND THE VALUE OF UNKNOWN
Answer:
you have to suppose a imaginary parallel line at E cutting the angle b and find both angles by alternate and add them.
1. AC=EC
2.BC=DC
3.AB=DE
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.
if the marked price of a gift item is Rs .300 and sold it for Rs.210. find the discount percent .
Answer:
original price - new price
300- 210=90
discount/ original price ×%
90/300×100
=30%
The discount percent is 30%
Which of the following plots has exactly 2 clusters and
1 outlier
How much material would it take to cover the sandbox?
Answer:
D.6,600 ft
Step-by-step explanation:
I hope it helps
HELP ASAP I WILL MARK BRAINLIEST!!!
Answer:
the answer would be 9 + i
Step-by-step explanation:
The area of a rectangle is 14 in. The length of one side is 7 in. What is its perimeter?
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