Answer:
The inverse tangent of √33 is θ=30° θ = 30 ° . This is the result of the conversion to polar coordinates in (r,θ) form.
The inverse tangent of √33 is θ=30° θ = 30 ° . This is the result of the conversion to polar coordinates in (r,θ) form.
The polar form of Complex NumbersThe polar form of a complex number is a different way to represent a complex number apart from the rectangular form. Usually, we represent the complex numbers, in the form of z = x+iy where 'i' is the imaginary number.
But in polar form, the complex numbers are represented as the combination of modulus and argument.
Learn more about complex numbers here: brainly.com/question/10662770
#SPJ2
9,962÷41. What dose it =
Answer:
242.975609756
Step-by-step explanation:
Answer:
242.975
Step-by-step explanation:
TIP: u can use a calculator if your teacher allows you, it would be faster :)
Find the lengths of the sides of the triangle formed by the coordinates below. Then classify the triangle by sides.
A(1,1) B (4,1) C (4,5)
AB =
BC =
AC =
Number of congruent sides=
Then classify the triangle
Isosceles, scalene or equilateral
[tex]~~~~~~~~~~~~\textit{distance between 2 points} \\\\ A(\stackrel{x_1}{1}~,~\stackrel{y_1}{1})\qquad B(\stackrel{x_2}{4}~,~\stackrel{y_2}{1})\qquad \qquad AB = \sqrt{( x_2- x_1)^2 + ( y_2- y_1)^2} \\\\\\ AB=\sqrt{(4-1)^2+(1-1)^2}\implies AB=\sqrt{3^2-0^2}\implies AB=3 \\\\[-0.35em] ~\dotfill\\\\ B(\stackrel{x_1}{4}~,~\stackrel{y_1}{1})\qquad C(\stackrel{x_2}{4}~,~\stackrel{y_2}{5})\qquad \qquad BC=\sqrt{(4-4)^2+(5-1)^2} \\\\\\ BC=\sqrt{0^2+4^2}\implies BC=4 \\\\[-0.35em] ~\dotfill[/tex]
[tex]C(\stackrel{x_1}{4}~,~\stackrel{y_1}{5})\qquad A(\stackrel{x_2}{1}~,~\stackrel{y_2}{1})\qquad \qquad CA=\sqrt{(1-4)^2+(1-5)^2} \\\\\\ CA=\sqrt{(-3)^2+(-4)^2}\implies CA=\sqrt{3^2+4^2}\implies CA=5[/tex]
well, how many congruent sides? none, all three sides differ, meaning is an scalene triangle.
How is sin 10° = cos 80°??
Check the picture below.
Answer:
See below.
Step-by-step explanation:
Location is Q1
Angle is less than 90
cos Ф = sin(90° - Ф)
cos 80° = sin (90° - 80°)
cos 80° = sin 10° set your calculator in degree mode
Check
cos 80° = 0.1736481777
sin 10° = 0.1736481777
Caroline opens a savings account at her local
bank. She plans to put of her net paycheck
10
in her savings account every week. In June, her
paychecks are $164.69, $177.86, $187.74,
and $163.04. How much money did Caroline
put in her savings account in June?
Answer:
So she has $50–$43.85 = $6.15 in her pocket and $25 in her savings account
Step-by-step explanation:
Alan will spend at most $30 on gifts. So far, he has spent $19. What are the possible additional amounts he will spend?
Answer:
$11
Step-by-step explanation:
This is because If you subtract 19 from 30 your answer will be 19.
how many prime numbers are multiples of 8
Step-by-step explanation:
four prime numbers..,..,,
The difference of x and 8 is at least - 17.
I need helppp
Answer:
x - 8 < -17
8. 8
x > -9
Step-by-step explanation:
make sure to put a Line under the sign srry
June earned $ 75 last week. April earned $25. June earnings were how many times greater than April
Answer:
3 times
Step-by-step explanation:
25 times 3 is 75
This is what i think
1. A ride descends from 100 meters straight down to 0 meters. The distance from the ground at any time is represented by the graph. The slope of the line is -4/5 between 0 and 125 seconds. How far did the ride descend in the time indicated by the marked vertical distance on the graph? (Orange line)
2. A car travels at a rate of 65 mph on a flat highway. How long did it take the car to get from a distance of 123 miles to 318 miles on its journey? (purple line)
9514 1404 393
Answer:
12 m3 hoursStep-by-step explanation:
1.The slope of the line is "rise"/"run". Here, the "run" is given as (27 s -12 s) = 15 s. So, we have ...
(change in distance)/(15 s) = -4/5 m/s
change in distance = (-4/5 m/s)(15 s) = -12 m
The ride descended 12 meters in the time indicated on the graph.
__
2.Again, the slope is "rise"/"run".
65 mi/h = (318 mi -123 mi)/(travel time)
travel time = (195 mi)/(65 mi/h) = 3 h
The car took 3 hours to get from 123 miles to 318 miles.
Lin’s father is paying for a $35 meal. He has a 15%-off coupon for the meal. After the discount, a 4% sales tax is applied.
What is the discount amount? $
What is the subtotal? $
What is the amount of tax added? $
What does Lin’s father pay for the meal? $
also there are suppose to be 4 answers so if you do know it please tell me 4 answers
Answer:
discount: $5.25
subtotal: $29.75
added tax: $1.19
total: $30.94
Step-by-step explanation:
15% of 35 = $5.25
$35 - $5.25 = $29.75
$29.75 + 4% = $30.94 Sales tax = $1.19
Answer:
Step-by-step explanation:
100% - 15% = 85% = 0.85
$35 × 0.85 = $29.75 (Subtotal)
100% + 4% = 104% = 1.04
$29.75 × 1.04 = $30.94
~~~~~~~~~~~~~~~
What is the discount amount?
$35 × 0.15 = $5.25
What is the subtotal? $29.75
What is the amount of tax added?
$29.75 × 0.04 = $1.19
What does Lin’s father pay for the meal? $30.94
Add 1, multiply by 2. 2 First
Answer:
2+1×2=6
6+1×2=14
14+1×2=30
And so on
Solve for the value of q.
Answer:
q=13
Step-by-step explanation:
(8q-5)°+81°=180° (angles on a str line)
8q-5+81=180
8q=180+5-81
=104
q=104÷8
=13
Using supplementary angle theorem
[tex]\\ \sf\longmapsto 8q-5+81=180[/tex]
[tex]\\ \sf\longmapsto 8q+76=180[/tex]
[tex]\\ \sf\longmapsto 8q=104[/tex]
[tex]\\ \sf\longmapsto q=13[/tex]
Nia solved the equation -1.98 = 5.2 v + 13.1. Her answer was v = -2.9. She is fairly confident about her answer, but wants to do a quick check of her solution using estimation to make sure her answer is reasonable.
Which of the following shows a good check of her answer?
-2 = 5(-2) + 13
-1 = 5(-2) + 13
-3 = 5(-2) + 13
-2 = 5(-3) + 13
Answer:
you can obviously round the -2.9 to -3, check they distributed -3 to one and thats the answer!
Here's Robert's spending diary for one week. It may not look like he's spending much. Use a calculator to add up Robert's total spending for the week. Monday Tuesday Wednesday Thursday Friday Saturday Sunday Lunch $7.00 Shampoo $6.00 Lunch $7.00 Jacket $40.00 Lunch $7.00 Breakfast $4.50 Coffee $2.00 Bus $3.00 CD $14.00 Lunch $7.00 Lunch $7.00 Movie $12.00 Haircut $40.00 Total: $21.00 $13.00 $10.00 $47.00 $19.00 $44.50 $2.00 How much does Robert spend on lunch in a week, in a year? If Robert continues to buy his lunch every weekday, he will be spending /week. S weeks in a year = $ spent during the year.
what is the value of x
Answer:X= 41
Step-by-step explanation:
The table shows a proportional relationship between x and y what is the unit rate of y per x ( 4, 5 , 6 , 7 ) (8 , 10 , 12 , 14 ) ?
Answer:
6
Step-by-step explanation:
Pls help!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!
Answer:
numbers are 24 and 210
Step-by-step explanation:
the number are : 24(2x2x2x3) and 210 (3x2x5x7)
GCF of 24 and 210 is 6
LCM of 24 and 210 is 840
9514 1404 393
Answer:
a. numbers: 24, 210
b. GCF = 6
c. LCM = 840
Step-by-step explanation:
The number each circle represents is the product of the factors in that circle:
red circle: 2×2×2×3 = 24
blue circle: 2×3×5×7 = 210
The numbers represented in the diagram are 24 and 210.
__
The GCF is the product of the common factors--the factors in the portion of the diagram where the circles overlap:
GCF = 2×3 = 6
__
The LCM is the product of all of the factors shown in the diagram:
LCM = 2×2×2×3×5×7 = 840
_____
Additional comment
I personally find this a nice way to represent two numbers, their GCF, and their LCM. Note that there cannot be any numbers in the red (only) part of the diagram that are also in the blue (only) part of the diagram. Any common factors belong in the overlap portion of the diagram.
This diagram makes it easy to see that the LCM is the product of the numbers, divided by their GCF. (The product of the two numbers will have the center portion of the diagram appear twice in the product. It only appears once in the LCM.)
Travel agents collected data from recent travelers about their modes of transportation for their vacations, They found that 37% traveled by airplane, 8% traveled by train, and 7% traveled by airplane and train. Let A be the event that the mode of travel was airplane and let T be the event that the mode of travel was train.
Using Venn probabilities, it is found that the probability is [tex]P(A \cap T^{c}) = 0.3[/tex]
In this problem, the events are:
Event A: Traveled by airplane.Event T: Traveled by train.Event [tex]T^{c}[/tex]: Did not travel by train.The desired probability is:
[tex]P(A \cap T^{c}) = P(A) + P(T^{c}) - P(A \cup T^{c})[/tex]
The probabilities are:
37% traveled by airplane, hence [tex]P(A) = 0.37[/tex]8% traveled by train, hence [tex]P(T^c) = 1 - 0.08 = 0.92[/tex]37% traveled by airplane, 62%(100 - [37 + 8 - 7]) did not travel, hence [tex]P(A \cup T^c) = 0.37 + 0.62 = 0.99[/tex]Then:
[tex]P(A \cap T^{c}) = P(A) + P(T^{c}) - P(A \cup T^{c})[/tex]
[tex]P(A \cap T^{c}) = 0.37 + 0.92 - 0.99[/tex]
[tex]P(A \cap T^{c}) = 0.3[/tex]
A similar problem is given at https://brainly.com/question/24707032
Answer:
B: .30
Step-by-step explanation:
edg 2021
PLS ILL GIVE BRAINLIEST!!!!
Answeryawa ka
Step-by-step explanation:
SOLVE PLZ I give brainlest
17+ -9
A. 26
B. 8
C. -8
D.-26
Answer:
B: 8
Step-by-step explanation:
When you add a negative number, it means you subtract that number.
[tex]17+-9=17-9=8[/tex]
Use the figure below to answer the questions. Unit 1 Test, Part 2: Basic Tools and Transformations
Answer: 35
Step-by-step explanation:
The mileage on Ori's car is 73,033 miles. What is the fewest number of miles that Ori needs to drive before the mileage shows three identical digits again?
The fewest number of miles that Ori needs to drive before the mileage shows three identical digits again is 40.
What is the unitary method?The unitary method is a method for solving a problem by the first value of a single unit and then finding the value by multiplying the single value.
We have been given that the mileage on Ori's car is 73,033 miles.
We need to find the fewest number of miles that Ori needs to drive before the mileage shows three identical digits again.
Therefore, the mileage on Ori's car = 73,033 miles.
identical digits = 40
The fewest number of miles that Ori needs to drive before the mileage shows three identical digits again is 40.
To learn more about the unitary method, please visit the link given below;
https://brainly.com/question/23423168
#SPJ3
An electrician charges a flat fee plus an hourly rate for a service call. She charges a total of $94 for a 3-hour service call on Monday and $130 for a 5-hour service call on Tuesday. How much should she charge for a 2-hour service call?
$36
$52
$76
$98
Answer:
$76.
Step-by-step explanation:
the given number line shows the solutions to which inequality
A)x + 4 ≥ 5
B)x – 2 > 7
C)x – 3 ≥ 6
D)x – 1 ≥ 8
—————————-
C) x – 3 ≥ 6
Solving this inequality by adding 3 on both sides, we get
x ≥ 9 which is shown on the number line
708 Х 34
I have to Estimate I need help please I don't like math
Answer:
708 times 34 = 24,072
estimated = 710 times 30 = 21,300
Step-by-step explanation:
hope this helped!
mark me brainliest :D
Answer:
Estimate: 21,000 or 21,300 (the answer depends on what your teacher is looking for. you didnt give a lot of information so i apologise if its wrong)
Exact: 24,072
Step-by-step explanation:
Estimate -
700 x 30 = 21,000
or
710 x 30 = 21,300
Exact -
708 x 34 = 24,072
Hope this helps!! :)
HELP PLSSSSSSSSSSSSSS
Answer:
120
Step-by-step explanation:
Answer:
x=17.7
Step-by-step explanation:
Pythagorean theory
a²+b²=c²
16²+7.5²=c²
256+56.25=c²
√312.25=√c²
c=17.7
A circular garden has a diameter of 10 feet approximately how much edging trim is needed to surround the garden by placing the trim all along the gardens circumference
Answer: 31.4 feet
Step-by-step explanation:
For this, you basically need to calculate the perimeter of the circle. You do this using this formula:
diameter of the circle times Pie = the circumference of the circle
Since The number of Pie is infinite use the rounded version of pie to 2 decimal points which is 3.14(This is why the question asks for an approximate)
(Diameter = 10 Pie = 3.14 therefore circumference = 31.4)
10 times 3.14 = 31.4 feet
The amount of edging trim needed to surround the garden by placing the trim all along the gardens circumference is 31.4 ft.
The garden is circular in shape. Thereforem the trim that is needed to surround the garden is the circumfernce of the graden.
Circumference of a circleThe circumference of a circle is the perimeter of the circle. Therefore,
circumference = 2πr
where
r = radiusTherefore, the amount of edging trim needed to surround the garden by placing the trim all along the gardens circumference is as follows:
circumference = 2 × 3.14 × 5
circumference = 10 × 3.14
circumference = 31.4 ft
learn more on circumference here: https://brainly.com/question/25730499
Simplify the following and write your answer in simplest radical form: Multiply the polynomials
25a² + 10ab² + b²
X.................5a + b²
________________
Answer:
Step-by-step explanation:
125a³ + 50a²b² + 5ab² + 25a²b² + 10ab⁴ + b⁴
125a³ + 75a²b² + 5ab² + 10ab⁴ + b⁴
How many odd numbers from 2000 and 6666 (including 2000 and 6666 itself) that all the numbers are different?
Answer:
That's is not Different
Step-by-step explanation:
Including to 2000 and 6666 itself is not Different
What is the numerical answer?
length = inches
Answer:
31.5 inches
Step-by-step explanation:
If 2 centimeters is 9 inches, then 1 centimeter is 4.5 inches. Then, just multiply by 7.