Answers
Answer:
[tex]36[\cos{127^\circ}+i\sin{127^\circ}][/tex]
Step-by-step explanation:
Polar form: [tex]z=r(\cos(\theta)+i\sin(\theta)[/tex]
To multiply two complex numbers in polar form, multiply the r values and add the angles.
[tex]w_1w_2=36\left[\cos{(95^\circ+32^\circ)}+i\sin{(95^\circ+32^\circ)}\right]\\\\=36[\cos{127^\circ}+i\sin{127^\circ}][/tex]
Related Questions
If line segment AB,A(9,3) and B(-6,-9), what scale factor was used to dilate if new line is at A'(3,1) and B'(-2,-3)?
Answers
Answer:
The scale factor is 1/3
Step-by-step explanation:
Here, we want to get the scale factor used in dilating the original segment
As we can see;
(9,3) turned to (3,1)
looking at this , we can see that both coordinate values were divided by 3
So what this mean is that the particular scale factor used is reduction by 1/3
This is the case with the other point as (-6,-9) turned to (-2,-3)
Part B:
Louis wants to buy skis that have a regular price of $328. They have been marked down 25% off the regular price. Louis calculates the new total price including tax.
How much money will Louis save on the total cost because of the markdown?
Answers
Answer:
Part ACalculate sale price and add sales tax:
20% off $339 add tax ⇒ $339*0.8*1.085 = $294.25 ≤ $30015% off $310 add tax ⇒ $310*0.85*1.085 = $285.90 ≤ $30025% off $365 add tax ⇒ $365*0.75*1.085 = $297.02 ≤ $30020% off $300 add tax ⇒ $300*0.8*1.085 = $260.40 ≤ $300Each price is acceptable as less than $300
Part BMarkdown with tax added:
25% off $328 add tax ⇒ $328*0.75*1.085 = $266.91Without discount, the price with the tax added:
$328*1.085 = $355.88The difference is the amount Luis has saved:
$355.88 - $266.91 = $88.97my grades not looking to well if you guys can help me with some problems i will give points and brainliest i need this problem and a few more done
Answers
Answer:
8 unitsStep-by-step explanation:
Parallel lines cut the transversals into proportional segments:
ST / UT = SR / QRST / 16 = 18/ 36ST / 16 = 1/2ST = 16/2ST = 8ST be x
Apply Thales theorem
x/16=18/36=1/2x=16/2ST=8unitwHow do I give Brainlest
Answers
Answer:
Press the crown button
Step-by-step explanation:
The ratio of two numbers is 8: 5. Their sum is 91. What is the
greater number?
Answers
Answer:
Step-by-step explanation:
a:b = 8:5
a = 8x, b= 5x
a+b = 91
13x = 91
x = 7
a=8x = 56
b = 5x = 35
The larger number is 56
Miesha has 3 red pens and 2 black pens in her pencil case. If she selects two pens without looking what is the probability that:
The first one will be black
The first will be black and the second will be black
Answers
Answer:
the first one ill be black i think
Step-by-step explanation:
she has more red so the first will probably be black and the other will be red your welcome and have a nice day/night
Given the matrices AA and BB shown below, find A-B.A−B. A=\begin{bmatrix} 3 \\ 0\end{bmatrix}\,\,\,\,B=\begin{bmatrix} -1 \\ 0\end{bmatrix} A=[ 3 0 ]B=[ −1 0 ]
Answers
Answer:
[4 0]
Step-by-step explanation:
Given that:
[tex]A=[3\ \ 0], B=[-1\ \ 0][/tex]
Matrices is an array of numbers, symbols and expressions arranged in rows and columns. Matrices can be used to solve system of equations. Many mathematical operations can be done on matrices such as addition, subtraction, multiplication, scalar multiplication and so on.
Addition and subtraction of two matrices can be done if they have the same dimensions. This is done by simply adding or subtracting the corresponding entries in matrices.
[tex]A=[3\ \ 0], B=[-1\ \ 0]\\\\A-B=[3-(-1) \ \ 0-0]=[4\ \ 0][/tex]
6c^2 - 5d + 8 when c =5 and d=4
Answers
Answer:
138
Step-by-step explanation:
First, we can simply replace the variables with their numerical values.
Whenever you see a number with a letter (variable) in front of it, this means to multiply.
c=5 and d=4
6 × 5^2 - 5 × 4 + 8
Since there are multiple operations in this expression, we must use PEMDAS.
ParenthesisExponentiation (exponents)Multiplication/Division (Solve whichever comes first)Addition/Subtraction (Solve whichever comes first)--------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------
Now, we can apply the operations.
There are no parenthesis.
In this expression, exponents are present.
6 × 5^2 - 5 × 4 + 8
6 × 25 - 5 × 4 + 8
--------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------
There is multiplication.
6 × 25 - 5 × 4 + 8
150 - 5 × 4 + 8
150 - 20 + 8
--------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------
There is subtraction.
150 - 20 + 8
130 + 8
--------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------
There is addition.
130 + 8
158
Therefore, 6 × 5^2 - 5 × 4 + 8 = 138.
Nevaeh went shopping for a new phone because of a discount sale. She multiplied the price of the phone by 0.95 to find the price she would actually have to pay, before tax. What percent discount is the sale?
Answers
Answer:
95% off
Step-by-step explanation:
because the percent u times by the actual price is the percent u have off
Juana went to a restaurant and bought 6 cheeseburgers and 4 orders
of fries and spent a total of $26. Write an equation for the scenario where
C is the price of cheeseburgers and Fis the price of fries she bought.
Answers
Answer:
6c + 4f = 26
Step-by-step explanation:
7 2/5 - 3 1/8=
Another one
Answers
Answer:
The answer is 4.725
Step-by-step explanation:
Answer:
4.725 is the correct answer
Step-by-step explanation:
In an
ecosystem, marsh snails feed
on phytoplankton and painted turtles
feed on marsh snails. Pollution has resulted in the depletion of
phytoplankton. What effect would this situation likely have on the populations
of marsh snails and painted turtles?
Answers
Answer:
decrease/decrease.
Step-by-step explanation:
both will decrease in quantity due to lack of food from the primary producer. Once the prey reduces, it affects the population of the predator.
Which of the following sets of numbers contains only rational numbers?
Answers
Answer:
f
Step-by-step explanation:
rational numbers are numbers that can be written in the form of a fraction
Ann runs a day care center. Of the last 18 children to enroll at the day care center, 8 of them have been elementary school students. Considering this data, how many of the next 9 children to enroll should you expect to be elementary school students?
Answers
We would expect that 4 of the next 9 children to enroll will be elementary school students.
What is an expression?An expression contains one or more terms with addition, subtraction, multiplication, and division.
We always combine the like terms in an expression when we simplify.
We also keep all the like terms on one side of the expression if we are dealing with two sides of an expression.
Example:
1 + 3x + 4y = 7 is an expression.
3 + 4 is an expression.
2 x 4 + 6 x 7 – 9 is an expression.
33 + 77 – 88 is an expression.
We have,
If 8 out of the last 18 children to enroll at the daycare center were elementary school students,
We can find the fraction of elementary school students in that group by dividing the number of elementary school students by the total number of children:
= 8/18
= 4/9
This means that 4 out of every 9 children enrolled were elementary school students.
If we want to predict how many of the next 9 children to enroll will be elementary school students,
We can use this ratio:
4/9 of 9 children
= (4/9) x 9
= 4
Therefore,
We would expect that 4 of the next 9 children to enroll will be elementary school students.
Learn more about expressions here:
https://brainly.com/question/3118662
#SPJ3
A painting is going to be reprinted as posters. The dimensions of the painting are 3/4 of a yard to and 1/2 of a yard wide, The poster company is trying to determine how big to make the poster For each yard of width, how many yards of height are needed??
Answers
Answer:
3/8 yards
Step-by-step explanation:
3/4 yard tall and 1/2 yard wide
Multiply the two fractions
3/4 (1/2)
= 3/8 yards
If the width of the rectangular painting is one unit then the height of the painting will be 3/8 yards. Then the correct option is A.
What is a rectangle?It is a polygon that has four sides. The sum of the internal angle is 360 degrees. In a rectangle, opposite sides are parallel and equal and each angle is 90 degrees. And its diagonals are also equal and intersect at the mid-point.
A painting is going to be reprinted as a poster.
The dimensions of the painting are 3/4 of a yard and 1/2 of a yard wide.
The poster company is trying to determine how big to make the poster For each yard of width,
Let h be the height of the poster. Then we have
[tex]\rm h \times 1 = \dfrac{3}{4} \times \dfarc{1}{2}\\\\h \ = \dfrac{3}{8}[/tex]
If the width of the rectangular painting is one unit then the height of the painting will be 3/8. Then the correct option is A.
More about the rectangle link is given below.
https://brainly.com/question/10046743
Convert the following fraction to a decimal.
A. 0.79
B. 0.70
C. 0.7
D. 0.07
Answers
Answer:
what is the fraction?
Step-by-step explanation:
A store offers a discount of 40%. The discount price of a shirt is $42 . What is the regular price?
Answers
Answer:
$70 is the regular price of the shirt.
Step-by-step explanation:
One way in which to find the regular price here is to write the equation
0.60s = $42. A 40% discount is reflected in 100% - 40%, or 1.00 - 0.40, which comes out to 0.60.
If 0.60s = $42, then the regular price of the shirt is
s = ($42)/0.60 = $70
Answer:
$70.00
Step-by-step explanation:
use the percent off calculator on freeonlinecalculatoruse.com
hope this helps :)
The eastbound train travels 10 miles per hour faster than the westbound train. After 2 hours, they are 232 miles apart. At what speeds are the two trains traveling?
Answers
Answer:
48,58
Step-by-step explanation:
Let The speed of the west bound train be x
Let the east bound train be x+10
The speeds can be calculated as follows
2(2x+10)= 232
4x + 40= 232
4x= 232-40
4x= 192
x= 192/4
= 48
Hence the speedof the west bound train is 48
The speed of the east bound train is 48+10
= 58
Write the absolute value inequality in the form |x-b| c that has the solution set x<-5 or x>7.
Answers
|x - 1| > 6
Step-by-step explanation:
b is the centre:
(-5 + 7)/2
2/2 = 1
b = 1
c is the distance from the centre
c = 7 - 1 = 6
Since it's an or case, > with the modulus
|x - 1| > 6
Which of the following transformations does not
preserve congruence?
F. (x,y) → (-x, -Y)
G. (x, y) = (-y, -x)
H. (x, y) = (x + 9.y + 9)
J. (x,y) → (9x, 9y)
Answers
Answer:
(9x, 9y) dilation
Step-by-step explanation:
(9, 9y) is the answer because F is 180 degrees rotations, G is not real, H is translations, and J is dilations and dilations is multiplying which makes the transformation non congruent.
Your welcome
Write the product using exponents. (1/3.(1/3)(1/3) Using exponents, the product is
Answers
Answer:
The answer is 1/3 to the power of 3
Step-by-step explanation:
According to a survey of workers, 5/25 of them walk to work, 1/25 bike, 4/25 carpool, and 15/25 drive alone. What percent of workers walk or bike to work?
Answers
Answer: 24%
Step-by-step explanation:
First add up the proportion of people who walk to work and those who bike as well. This will show the proportion of people who walk or bike to work.
This is:
= 5/25 + 1/25
= 6/25
Then convert this to a percentage:
= 6/25 * 100
= 24%
state the angle pair relationship then find the value of x
Answers
Answer:
x = 11
Step-by-step explanation:
The given angles are corresponding angles and are congruent, then
12x - 9 = 10x + 13 ( subtract 10x from both sides )
2x - 9 = 13 ( add 9 to both sides )
2x = 22 ( divide both sides by 2 )
x = 11
∠B= please give me the answer!
Answers
Answer:
I think it's 45 degrees
Step-by-step explanation:
<c is 90 degrees and the interior of every triangle is 180 degrees so then we subtract 90 from 180 which is 90 so we divide 90 by two since b and a seem to be equal which is 45 degrees.
2. The formula below, the legs of the triangle are a and b. The hypotenuse is c.
A^2 + b^2=c^2
true or false
Answers
Answer:
Maybe True
Step-by-step explanation:
Hence, to find the area of a triangle, we need to know the base (b) and height (h) of it. This formula is applicable to all types of triangles, whether it is scalene, isosceles or equilateral.
BRAINILIEST PLEASEAnswer:
2. The formula below, the legs of the triangle are a and b. The hypotenuse is c.
True
Why is 24lb greater than 124oz?
Answers
Answer:
1lb= 16oz
24(16)= 384
24lb= 384oz
Step-by-step explanation:
24lb is greater than 124oz after you convert the pounds to oz
if i'm correct please mark me as brainliest
Can someone pleaseeee help and if you’re correct i’ll give brainliest
Answers
Answer:
35
Step-by-step explanation:
Rows: 7+7+7+7+7=35
Columns: 5+5+5+5+5+5+5=35
Which sets of side lengths could form a triangle?
A. 3 centimeters, 4 centimeters, 9 centimeters
u
B. 3 centimeters, 6 centimeters, 9 centimeters
C.4 centimeters, 5 centimeters, 9 centimeters
D. 4 centimeters, 6 centimeters, 9 centimeters
E. 5 centimeters, 5 centimeters, 9 centimeters
Answers
Answer:
D and E
Step-by-step explanation:
The 2 smallest sides added up are larger than the biggest side
Answer:
I tried all of them but I keep getting decimals instead of 9
Step-by-step explanation:
Please help... Geometry
Answers
Answer:
i cant load the picture
Step-by-step explanation:
Answer:
[tex] \bold{a) \: BC} \: = \bold{ \boxed{13 \sqrt{2} }}[/tex]
[tex] \bold{b) \: x = 7}[/tex]
[tex] \large{ \mathbb{ \purple{hope \: it \: helps}}}[/tex]
Please helpppppp! WILL GIVE BRAINLIEST!!!
Answers
Answer:
Step-by-step explanation:
Its hard to tell the width and length from this way, but here i got 104 square inches.