Answers
|9+40i| = |√9^2 + -40^2| = √1681 = 41
Answer: 41
Answer:
41
Step-by-step explanation:
We know that complex numbers are a combination of real and imaginary numbers
Real part is x and imaginary part y is multiplied by i, square root of -1
Modulus of x+iy =
Here instead of x and y are given 9 and 40
i.e. 9+40i
Hence to find modulus we square the coefficients add them and then find square root
|9+49i| =
By long division method we find that
|9+40i| =41
Related Questions
Pls solve this, it’s math
And only if you know the answer pls
Answers
Since the unit circle has a radius of 1 we know that r = 1 and that our angle is 60 degrees. Using sin and cos functions we can then find the x and y coordinates of point A. since [tex]cos(\alpha ) = \frac{x}{1}[/tex] and [tex]sin(\alpha ) = \frac{y}{1}[/tex] (where [tex]\alpha[/tex] = the angle)
[tex]A = (x,y) = (cos(a),sin(a))[/tex] because of the identity that cos(a) = x and sin(a) = y
Using the angle and the previously described identity we can find the coordinates with cos(60) = x = 1/2 and sin(60) = y = [tex]\frac{\sqrt{3} }{2}[/tex] to get A =(x,y) = [tex](\frac{1}{2},\frac{\sqrt{3} }{2})[/tex].
From here we can work backwards and find that BC = x = [tex]\frac{1}{2}[/tex] and that AC = y =[tex]\frac{\sqrt{3} }{2}[/tex] and finally we know that AB = r = 1 because it is a radius of the unit circle and must be 1.
-This probably isn't the way you were taught to solve this problem, but it is how we do it in physics and real-life.
George bought 2.45 pounds of tofu and 1.62 pounds of fish. How many more pounds of tofu did he buy than fish.
Answers
Answer:
0.83 pounds
Step-by-step explanation:
2.45 take away 1.62
84 = 4(1– 49)
please give an explanation
Answers
Answer:
give me more information on this
Elisha is renting a limo to take her friends out for her birthday. The limo company charges a reservation fee of $129 and $65 per hour. Her total bill was $584. Write and solve an equation to find the number of hours, h, Elisha rented the limo
Answers
584-129= 455
455/65= 7 hours she rented the limo
Consider the two triangles.
В.
To prove that the triangles are similar by the SAS
similarity theorem, it needs to be shown that
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A
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Answers
Answer:
By Both
Step-by-step explanation:
You have all 3 corresponding sides are proportional so you have SSS. That is
24/8=15/5=18/6
You also have SAS because 15/5=18/6 and you have the angle between the sides that I'm referring to in that proportion.
To prove that the triangles are similar by the SAS similarity theorem the two sides and angles are proportional.
What is Triangle?A triangle is a three-sided polygon that consists of three edges and three vertices.
Two triangles are said to be similar if their corresponding angles are congruent and the corresponding sides are in proportion .
From definition of similar triangles the 3 corresponding sides are proportional so you have SSS.
Such that 24/8=15/5=18/6
We also have SAS because 15/5=18/6 and you have the angle between the sides.
Hence, to prove that the triangles are similar by the SAS similarity theorem the two sides and angles are proportional.
To learn more on Triangles click:
https://brainly.com/question/2773823
#SPJ7
Luke was trying to expand his game collection. He bought six games from a friend and
bought fifty more at a garage sale. If twenty-five of the games didn't work, how many
good games did he end up with?
Answers
Answer:
he would end up with 25 good games left
Answer: the answer is 31!
Step-by-step explanation: add 6 plus 50 to get 56 then subtract 25 to get 31!
Marian is making accessories for the soccer team. She uses 666.12 inches of fabric on headbands for 36 players and 3 coaches. She also uses 310.68 inches of fabric on wristbands for just the players. How much fabric was used on a headband and wristband for each player?
I need help with this
Answers
Answer:
answe is about 23. something
Step-by-step explanation:
find the sum
(2x+6)+(4x-12)
HELp
Answers
Answer:
6x - 6
Step-by-step explanation:
(2x + 6) + (4x - 12) ← remove parenthesis
= 2x + 6 + 4x - 12 ← collect like terms
= (2x + 4x) + (6 - 12)
= 6x + (- 6)
= 6x - 6
????????????????????????????????
Answers
Answer:
Step-by-step explanation:
step by step explanation
Answer:
P = 9/25
Step-by-step explanation:
yeah-ya........ right?
Judy is trying to stack books on a shelf that is 20 inches tall. If each book is 4/5 inches thick, how many
books can she stack on the shelf?
Answers
there are between 30 and 40 sweets in a bag . ben and daisy share the sweets in the ratio of 4:5. there are no sweets remaining in the bag .
how many sweets were in the bag to begin with
Answers
Answer: 36.
Step-by-step explanation:
4+5 = 9
9. What are all the values for y?Plug in the x value into the equation to find 1 point
y. Equation is y=-2x + 1*
Answers
Answer: C
Step-by-step explanation: see picture
can someone please help me!! this assignment is due at 11:59 I need this done
Answers
Answer:
X~~21.98
Step-by-step explanation:
We use tangent here, as we have opposite and adjacent sides. (tan = opp/adj)
tan (20) = 8/x. Using a calculator, we get x is about 21.98
When finding a critical T value for 95% confidence and a sample size of 30, how many degrees of freedom are there?
Answers
Answer:
29
Step-by-step explanation:
The formula for calculating degrees of freedom in a t-test is n-1 where n is the sample size. Therefore, there are 30-1=29 degrees of freedom if the sample size is n=30.
find the solution to the system of equations
-9x+8y=-26
-9x-6y=-12
first answer gets brainliest! :)
Answers
Answer: y=-1 and x=2
Step-by-step explanation:
-9x+8y=-26
-9x-6y=-12
Subtract
14y = -14
Divide by 14
Y=-1
Substitute y=-1 into the equation
-9x-6(-1)=-12
-9x+6=-12
Subtract 6
-9x=-18
Divide by -9
X=2
Please help me The point D,E,F and G all lie on the same segment, in that order, such that ratio of DE:EF:FG is equal to 4:1:4. If DG=36, find EG
Answers
Answer:
4+1+4+g=36
g=27
dg=32
Step-by-step explanation:
Answer:
20
Step-by-step explanation:
DE : EF : FG = 4 : 1 : 4
DG = 36
DG = DE + EF + FG
-> 4x + x + 4x = 36
9x = 36
x = 4
so EG = EF + FG
= x + 4x
= 5x
= 20
hey guys did I get any of these right, if not pls help me.
Answers
Answer:Yep! All of them are right! Great job!
Step-by-step explanation:
.1.3 Jennie has $200 and she spends $30. What percent of her
money is spent?
zoo
A) 15%
B) 30%
30
C) 66%
D) 85%
Answers
Answer:
A
Step-by-step explanation:
To change a fraction to a percentage, multiply by 100%
[tex]\frac{30}{200}[/tex] × 100%
= 0.15 × 100%
= 15% → A
A man's age is three times his son's age. Ten years ago, he was five times his son's
age. By forming two equations and solving them simultaneously, find both of their ages.
Answers
Answer:
Step-by-step explanation:
son age be x
Aman age is 3x
ten years ago
son age x-10
aman age 3x -10
A.T.Q
5(x-10) = 3x -10
5x -50 = 3x - 10
2x = 40
x =20
3x=60
son present age =20
aman present age = 60
Find the y-intercept and then write the linear equation for the line passing
through (-12, 5) with m = -2/3,
Answers
Answer:
Y-intercept: -3
Equation: y = -2/3x -3
Step-by-step explanation:
Slope intercept equation: y = mx + b, m is the slope and b is the y-intercept
Substitute m with -2/3, your equation should now be y = -2/3x + b
To find the y-intercept, plug in the point (-12,5) and solve for b.
1. 5 = -2/3(-12) + b
2. 5 = 8 + b
3. b = 8 - 5
4. b = 3
3-14. Do you think that an area model can help rewrite expressions that involve multiplication? The area model below relates the expressions and . With your team, discuss how it can be used to show that these expressions are equivalent. Be prepared to explain your ideas.
Answers
Answer:
Step-by-step explanation:
using the number 2, 4, 6 and 8 write an expression that equals 60
Answers
Answer:
(8-2)(4+6)
Step-by-step explanation:
1. (8-2)(4+6)
6x(4+6)
2. 6x10
3. =60
A researcher is interested in understanding whether the number of people in a room affects how much a person eats. During the experiment, the researcher varies the number of people in the room and records how much each participant eats. This is an example of:
Answers
Answer:
quantitative manipulation of the independent variable
Find the measure of Angle 8
Answers
[tex]▪▪▪▪▪▪▪▪▪▪▪▪▪ {\huge\mathfrak{Answer}}▪▪▪▪▪▪▪▪▪▪▪▪▪▪[/tex]
Angle 8 = 99°Since they form corresponding Angle pair ~
You have been saving your money to buy a new pair of shoes. Three different stores are having a sale on them. Which store has the best deal?
Store A
Original Price: $70
Take 10% off.
Then, take 10 percent off that price.
Store B
Original Price: $80 Take $15 off.
Then, take 10 percent off that price.
Store C
Original Price: $90
Take 10% off.
Then, take $20 off that price.
A) Store A
B) Store B
C) Store C
Answers
Answer:
Store A would be the least expensive.
Step-by-step explanation:
Store A
70*0.10=7
70-7=63
63*0.10=6.30
63-6.30=57.70
$57.70
Store B
80-15=65
65*0.10=6.50
65-6.50=58.50
$58.50
Store C
90*0.10=9
90-9=81
81-20=61
$61
This scatter plot shows the height of a card tower and the amount of time used to build it (in minutes).
Based on the information in the scatter plot, what is the best prediction for the height of a card tower at 10 minutes?
Answers
Answer:
It’s 7 inches
Step-by-step explanation:
I hope this helps
Following the trend line of the scatter plot, the height of a card tower at 10 minutes, the best prediction that can be made given the answer options is:
5 inches.Recall:
A scatter plot can be used to make prediction as it shows how two variables are related.From the scatter plot given, it shows that as the amount of time increase, the height of the card tower also increases.
Therefore, following the trend line of the scatter plot, the height of a card tower at 10 minutes, the best prediction that can be made given the answer options is: 5 inches.Learn more about scatter plot on: https://brainly.com/question/20647477
can someone pls give me an example of an area of a trapezium
Answers
Answer:
I got this from one of my textbook for the previous years
Hope this helps:)
Which of the following rules could represent the function shown in the table?
Answers
Answer:
f(x) = 2x + 1.
Step-by-step explanation:
In order to determine the function rule for the given table of values, we must start by finding the slope or the rate of change. Choose two ordered pairs from the table: (0, 1) and (1, 3).
Let (x₁, y₁) = (0, 1)
(x₂, y₂) = (1, 3)
Substitute these values into the following slope formula:
m = (y₂ - y₁)/(x₂ - x₁)
m = (3 - 1)/(1 - 0)
m = 2/1 = 2
Therefore, the slope of the function is, m = 2.
Next, we must determine the y-intercept, which is the point on the graph where it crosses the y-axis, with coordinates of (0, b ). From the given table of values, the y-intercept is (0, 1), for which its y-coordinate is the value of b = 1.
Therefore, the function rule that represents the given table of values is:
f(x) = 2x + 1.f(x)=2x-6 answer please
Answers
Answer:
well that's already the slope and your i-intercept would be -6
Step-by-step explanation:
BRAINLIEST
Solve for X. Round to the nearest tenth.
Answers
Answer:
a=180-(45+37)
b=180-(9+24)
c=180-(42+64)
d=180-(70+13)
B 3.7
C 20.5
D 13.8
