1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
Degger [83]
3 years ago
5

What is the modulus of |9+40i|?

Mathematics
2 answers:
Gekata [30.6K]3 years ago
8 0

Answer:  Modulus of |9+40i| =41

Step-by-step explanation:

Since we have given that

z=\mid9+40i\mid

Here,

z=a+bi\\\\where,\\\\a=\text{real number}=9\\\\b=\text{imaginary number}=40

We need to find the modulus of z:

\mid z\mid=\sqrt{a^2+b^2}

\mid z\mid=\sqrt{9^2+40^2}\\\\\mid z\mid=\sqrt{81+1600}\\\\\mid z\mid=\sqrt{1681}\\\\\mid z\mid=41

Hence, Modulus of |9+40i| =41

Talja [164]3 years ago
6 0

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 = \sqrt{x^2+y^2}

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| =\sqrt{9^2+40^2} =\sqrt{1681}

By long division method we find that

|9+40i| =41


You might be interested in
Simplify there is a picture
kicyunya [14]
2 to the power of 20/3 to the power of 8. 2^20/3^8 for short.
5 0
3 years ago
Jessica has an account with a credit union. Her account earns 2.4% simple interest yearly. Exactly a year and a half ago, she op
Dafna1 [17]
The basic equation for interest is the investment amount(x) times the time in years(y) times the percent of interest(z).

That makes the equation:

x·y·z= amount with interest.

Lets plug in the numbers:

$900 x 1.5 x 2.4%

Now turn the percent into a decimal:

2.4% ----> .024

Now the equation is:

$900 x 1.5 x .024

Now do the math:

$900 x 1.5 = 1350
1350 x .024 = 32.4
1350 + 32.4 = 1382.4

The final answer is $1382.40

Hope this helps!
6 0
3 years ago
GRADE 10 MATH QUESTION
xxTIMURxx [149]

Answer:

the shortest route is from cabin site to B

Step-by-step explanation:

see my attachment

4 0
3 years ago
Read 2 more answers
A game stop membership cost $20 and includes one game A month for five dollars. Nonmembers can get one more game a month for sev
miss Akunina [59]

Answer:

C(x) = 5x + 20 (for members)

C(x) = 3.5x (for non-members)

Step-by-step explanation:

Cost of membership = $20

Price of a game per month = $5

So, the linear equation to compute the total cost for a member can be computed by:

C(x) = 5x + 20

where x is the number of games per month

On the other hand, non-members can get one more game per month for $7 which means they get 2 games for $7. The price for a single game is $7/2 = $3.5 a month.

The linear equation to compute the total cost for a non-member is:

C(x) = 3.5x

where x is the number of games per month.

The following system of equations can be used to decide whether to become a member or not, by substituting the number of games in place of x and finding out the total cost.

C(x) = 5x + 20 (for members)

C(x) = 3.5x (for non-members)

3 0
3 years ago
Patrick ate 2/3 of a fruit bar write an equivalent fraction for the amount of fruit bar Patrick ate
Marina86 [1]
To get an equivalent fraction, multiply the fraction by a whole number. For example, you can do 2/3 times 2 to both sides which is 4/6.
5 0
3 years ago
Other questions:
  • A jet travels 560 miles in 5 hours at this rate how far could the jet fly in 8 hours? What is the rate of speed of the jet?
    13·1 answer
  • A funnel has a diameter of 9 in. and is 16 in. tall a plug is put at the open end of the funnel what it the volume of the cone
    5·1 answer
  • How are gallons and fluid ounces related
    14·1 answer
  • Pls someone help me asap will give brainliest to first person
    6·1 answer
  • There are 30 nonfiction books and 34 fiction books in the teacher's collection. Which of the following expresses the ratio of fi
    13·2 answers
  • Isolate the variable x. - 5x < 10
    13·1 answer
  • PQ=11 and QR =10 what is PR
    15·1 answer
  • PLEASE ANSWER ASAP WITH WORK FOR BRAINLEST!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!
    15·1 answer
  • Click image to see it all..... thank you ​
    11·1 answer
  • A park maintenance person stands 16m from a circular monument. Assume that her lines of sight from tangents to the monument and
    9·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!