Find the modulus of 15+36i

Answers

Answer 1

Answer:

The modulus is 39

Step-by-step explanation:

Modulus of a complex number

The modulus or absolute value, of a complex number, denoted |x+iy| is calculated with the formula:

[tex]\displaystyle |x+\mathbf{i}y|=\sqrt {x^{2}+y^{2}}[/tex]

The given complex number is z = 15 + 36i

Calculating the modulus:

[tex]|z|=\sqrt {15^{2}+36^{2}}[/tex]

[tex]|z|=\sqrt {225+1296}[/tex]

[tex]\boxed{|z|=\sqrt {1521}}[/tex]

|z|=39

The modulus is 39


Related Questions

I’ll mark brainliest!
Please help
And extra points !


Look at the picture above and the picture also asks How many seconds did it take the paper airplane to reach the ground ?

Please write at least 2 sentences explaining thank you!

Answers

Answer:

It would take the plane 3 seconds to reach the ground. Yhis is because after three seconds y=3.

0.97 in word formation

Answers

Answer:

97 hundreths or 97 cents

Step-by-step explanation:

Answer:

97 hundredths.

Step-by-step explanation:

9 is in the tenths place, but that means .9 is also 9 hundredths. With the 7 in the hundredths place, .97 is 97 hundredths.

Hope this helps...have a great day! :3

What is the mean?

5, 10, 8, 9, 9, 9

TYPE ONLY THE NUMERIC ANSWER (Round to the nearest tenths place)

Answers

Answer:

8.3

Step-by-step explanation:

5+10+8+9+9+9=50

50/6=8.333333333333333333333333333333333333333333

=8.3

Answer:

The mean is basically the average.

In order to find avergae you add up all the given numbers and then divide it by the amount of given numbers.

in this case…

5 + 10 + 8 + 9 + 9 +9 = 50

There are 6 given values, which are 5, 10, 8, 9, 9, 9.

We divide 50 (the total number) by the given amount (6).

50/ 6 = 8.33333…

Your answer is 8.3

Step 2 - Fill in the missing number:
2
1 -3 -10 24
a
a =

Answers

Answer:

First part: k=2

Second part: a=1

Third part: b=2 c=-1 d=-2

Forth part: x^2-x-12

Step-by-step explanation:

Each piece of fruit weighs 3/5 pounds


Write how many pieces of fruit you need so the total weight, in pounds is within the giving range

Between 1 and 1 1/2 pounds. (___)
Between 2 and 2 1/2 pounds. (__)

Answers

Answer:

Between 1 and 1 1/2 pounds. (_8__)

Between 2 and 2 1/2 pounds. (_1_)

у =-x +7
what the slope?^

Answers

Answer:

-1

hope it helps

Answer:

-1

Step-by-step explanation:

I graphed it out and got the answer. Plz give brainliest if you got it

A, B & C form the vertices of a triangle.
∠ CAB = 90°,
∠ ABC = 51° and AB = 8.6.
Calculate the length of BC rounded to 3 SF.

Answers

Answer:

BC ≈ 13.7

Step-by-step explanation:

using the cosine ratio in the right triangle

cos51° = [tex]\frac{adjacent}{hypotenuse}[/tex] = [tex]\frac{AB}{BC}[/tex] = [tex]\frac{8.6}{BC}[/tex] ( multiply both sides by BC )

BC × cos51° = 8.6 ( divide both sides by cos51° )

BC = [tex]\frac{8.6}{cos51}[/tex] ≈ 13.7 ( to 3 sf )

To make sure that a given parallelogram is a rectangle, at least hon many of
its angles must measure 90°?
A. Four
B. Two
C. Three
D. One

Answers

Answer:

D. One

Step-by-step explanation:

     A parallelogram will have two sets of equal sides. Since we have that fact, all we need to know are the angles.

     A quadrilateral will have a total of 360° in its angles. If only one angle is equal to 90°, then we can do the math to figure out that all the others must be 90° as well. A rectangle is a parallelogram with the opposite sides being parallel and all the angles being 90°. This then answers the question.

     "The Math"

-> Keep in mind there will be four angles

-> Once we subtract the first angle of 90°, we will have three angles left. Hence why we divide by 3.

360° - 90° = 270°

270° / 3 = 90° ✓

To make sure that a parallelogram is a rectangle, at least one angle must be 90°. The correct answer is D.

What is Parallelogram?

A parallelogram is defined as a special type of quadrilateral that has both pairs of opposite sides parallel and equal.

Let consider given parallelogram be ABCD.

All of the angles of a parallelogram must be 90° for it to be a rectangle.

Let ∠A = 90°.

Since opposite angles of a parallelogram are equal

So, ∠C = ∠A = 90°

And adjacent angles are supplementary and their sum is 180°.

So, ∠A + ∠B = 180°.

∠B = 180°- ∠A = 180° - 90° = 90°

As we know that opposite angles of a parallelogram are equal

So, ∠D = ∠B = 90°.

If all four angles are right angles (90°), then given one angle = 90°.

To make sure that a parallelogram is a rectangle, at least one angle must be 90°.

Learn more about parallelograms here:

brainly.com/question/11220936

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An ant walked 131millimeters directly toward a cookie crumb at a constant velocity. It took the ant 10.0seconds to walk that distance. What was the ant's velocity? Write your answer to the tenths place. ________millimeters per second directly toward the cookie crumb

Answers

Answer:

Velocity = 1.31 millimetres per second

Step-by-step explanation:

Given:

Total distance = 131 millimetres

Total time taken = 10 seconds

Find:

Velocity

Computation:

Velocity = Total distance / Total time taken

Velocity = 131 / 10

Velocity = 1.31 millimetres per second

Whoever is in UK, pls can u tell me the price for....
- 1 oz of gold
-1 oz of silver

Thanks

Answers

Answer:

The price for 1 ounce of gold is around £1,451 which is around 1,922$ and the price for 1 ounce of silver is around £19.17 which is around 25$.

wht is the scale factor of the dialation above plzzzzzzzzzzzzzzz help meeeeeeeeeeeee dont help no one else untill u help me thxs

Answers

Answer:

i believe its 1.75 (i had to relearn this)

Step-by-step explanation:

1.75 times 28= 49

1.75 times 20= 35

The table shows the amount of money earned by three brothers doing chores. If Gary and David earned the
same amount of money, how much did Jason earn?

Answers

Answer:

x=12

Step-by-step explanation:

If 13cos theta -5=0 find sin theta +cos theta / sin theta -cos theta​

Answers

Step-by-step explanation:

Need to FinD :

We have to find the value of (sinθ + cosθ)/(sinθ - cosθ), when 13 cosθ - 5 = 0.

[tex] \red{\frak{Given}} \begin{cases} & \sf {13\ cos \theta\ -\ 5\ =\ 0\: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \big\lgroup Can\ also\ be\ written\ as \big\rgroup} \\ & \sf {cos \theta\ =\ {\footnotesize{\dfrac{5}{13}}}} \end{cases}[/tex]

Here, we're asked to find out the value of (sinθ + cosθ)/(sinθ - cosθ), when 13 cosθ - 5 = 0. In order to find the solution we're gonna use trigonometric ratios to find the value of sinθ and cosθ. Let us consider, a right angled triangle, say PQR.

Where,

PQ = Opposite sideQR = Adjacent sideRP = Hypotenuse ∠Q = 90°∠C = θ

As we know that, 13 cosθ - 5 = 0 which is stated in the question. So, it can also be written as cosθ = 5/13. As per the cosine ratio, we know that,

[tex] \rightarrow {\underline{\boxed{\red{\sf{cos \theta\ =\ \dfrac{Adjacent\ side}{Hypotenuse}}}}}} [/tex]

Since, we know that,

cosθ = 5/13QR (Adjacent side) = 5RP (Hypotenuse) = 13

So, we will find the PQ (Opposite side) in order to estimate the value of sinθ. So, by using the Pythagoras Theorem, we will find the PQ.

Therefore,

[tex] \red \bigstar {\underline{\underline{\pmb{\sf{According\ to\ Question:-}}}}} [/tex]

[tex]\rule{200}{3}[/tex]

[tex] \sf \dashrightarrow {(PQ)^2\ +\ (QR)^2\ =\ (RP)^2} \\ \\ \\ \sf \dashrightarrow {(PQ)^2\ +\ (5)^2\ =\ (13)^2} \\ \\ \\ \sf \dashrightarrow {(PQ)^2\ +\ 25\ =\ 169} \\ \\ \\ \sf \dashrightarrow {(PQ)^2\ =\ 169\ -\ 25} \\ \\ \\ \sf \dashrightarrow {(PQ)^2\ =\ 144} \\ \\ \\ \sf \dashrightarrow {PQ\ =\ \sqrt{144}} \\ \\ \\ \dashrightarrow {\underbrace{\boxed{\pink{\frak{PQ\ (Opposite\ side)\ =\ 12}}}}_{\sf \blue{\tiny{Required\ value}}}} [/tex]

∴ Hence, the value of PQ (Opposite side) is 12. Now, in order to determine it's value, we will use the sine ratio.

[tex] \rightarrow {\underline{\boxed{\red{\sf{sin \theta\ =\ \dfrac{Opposite\ side}{Hypotenuse}}}}}} [/tex]

Where,

Opposite side = 12Hypotenuse = 13

Therefore,

[tex] \sf \rightarrow {sin \theta\ =\ \dfrac{12}{13}} [/tex]

Now, we have the values of sinθ and cosθ, that are 12/13 and 5/13 respectively. Now, finally we will find out the value of the following.

[tex] \rightarrow {\underline{\boxed{\red{\sf{\dfrac{sin \theta\ +\ cos \theta}{sin \theta\ -\ cos \theta}}}}}} [/tex]

By substituting the values, we get,

[tex]\rule{200}{3}[/tex]

[tex] \sf \dashrightarrow {\dfrac{sin \theta\ +\ cos \theta}{sin \theta\ -\ cos \theta}\ =\ {\footnotesize{\dfrac{\Big( \dfrac{12}{13}\ +\ \dfrac{5}{13} \Big)}{\Big( \dfrac{12}{13}\ -\ \dfrac{5}{13} \Big)}}}} \\ \\ \\ \sf \dashrightarrow {\dfrac{sin \theta\ +\ cos \theta}{sin \theta\ -\ cos \theta}\ =\ {\footnotesize{\dfrac{\dfrac{17}{13}}{\dfrac{7}{13}}}}} \\ \\ \\ \sf \dashrightarrow {\dfrac{sin \theta\ +\ cos \theta}{sin \theta\ -\ cos \theta}\ =\ \dfrac{17}{13} \times \dfrac{13}{7}} \\ \\ \\ \sf \dashrightarrow {\dfrac{sin \theta\ +\ cos \theta}{sin \theta\ -\ cos \theta}\ =\ \dfrac{17}{\cancel{13}} \times \dfrac{\cancel{13}}{7}} \\ \\ \\ \dashrightarrow {\underbrace{\boxed{\pink{\frak{\dfrac{sin \theta\ +\ cos \theta}{sin \theta\ -\ cos \theta}\ =\ \dfrac{17}{7}}}}}_{\sf \blue{\tiny{Required\ value}}}} [/tex]

∴ Hence, the required answer is 17/7.

The price of Stock A at 9 A.M. Was ​$14.17. Since​ then, the price has been increasing at the rate of ​$0.11 each hour. At noon the price of Stock B was ​$14.67. It begins to decrease at the rate of ​$0.16 each hour. If the two rates​ continue, in how many hours will the prices of the two stocks be the​ same?

Answers

Answer:

0.63 hours

Step-by-step explanation:

We are told that at 9am, the price of Stock A was ​$14.17 and we are told it increases by $0.11 each hour.

Thus, for x hours, the price will be;

P_a = 14.17 + 0.11x

Now,by noon, it would have been 3 hours.

Thus;

P_a = 14.17 + 0.11(3)

P_a = 14.17 + 0.33

P_a = $14.50

Now, at that same noon, another product known as stock B had a price of ​$14.67. We are told it begins to decrease at the rate of ​$0.16 each hour.

Now, we want to find how many how many hours will the prices of the two stocks be the​ same. If the number of hours is x, this means that;.

14.5 + 0.11x = 14.67 - 0.16x

Rearranging,we have;

0.11x + 0.16x = 14.67 - 14.5

0.27x = 0.17

x = 0.17/0.27

x = 0.63 hours

PLEASE ANSWER QUICKLY ASAP
READ QUESTIONS CAREFULLY ​

Answers

Answer:

The answer is B and C . If you need the method I used to find it, contact me via comments on brainly.

Answer:

B  and C

Step-by-step explanation:

on c i got exactly 25%

but on B i got 23% but B was the closest to 25% than A and D

What is the median value of the data set shown on the line plot?

Enter your answer in the box.

Answers

Answer:

18

Step-by-step explanation:

PLEASE MARK AS BRAINLIEST

A cylinder has a height of 15 meters and a diameter of 8 meters. What is its volume? Use ​ ≈ 3.14 and round your answer to the nearest hundredth.

Answers

Answer:V≈3015.93

Step-by-step explanation:this is the answer

Suppose B is the point (4, -2) and A is the point (-6, 3).


Find point C so that point B is the midpoint of segment AC

Answers

Answer: (14, -7)

Step-by-step explanation:

please help you will get brainiest!!!!!!!!!!

Answers

Answer:

g(x) has a larger slope

Step-by-step explanation:

If you look closely, g(x) has a slope of 5.

Write a system of equations and then solve by the method of your choice. Reserved seat tickets for the football game cost $4.00 each and general admission tickets cost $3.00 each. After the game is over, the turnstile count shows 1787 people attended the game. The total receipts were $5792. Find the number of each general admission tickets sold.

Answers

Given :

Reserved seat tickets for the football game cost $4.00 each and general admission tickets cost $3.00 each.

After the game is over, the turnstile count shows 1787 people attended the game. The total receipts were $5792.

To Find :

The number of each general admission tickets sold.

Solution :

Let, general admission are x.

So, Reserved seat tickets will be 1787 - x.

Now, total amount T = 3x + 4( 1787 - x )

T = $5792

3x + 4( 1787 - x ) = $5792

-x + 7148 = 5792

x = 1356

Therefore, the number of each general admission tickets sold are 1356.

Hence, this is the required solution.

Can you solve this problem

Answers

Answer:

Yes, 6.

Step-by-step explanation:

it says it on the picture?

Anyways,

21-3=18

18+18=36

36÷6=6

Answer:  21 – 3 + 18 ÷ 6 = 6. Twenty-one minus 3 is 18, then add 18 to that to get 36. Then divide that by 6 to get the correct answer, 6

Step-by-step explanation:

Does the system of equations below have one solution, two solutions, three solutions or infinitely many solutions?
-3a + 24b + 9 = -111
a - 86 - 3c = 37
2a - 16b-6c = 75
А
1 Solution
B
2 Solutions
C No Solution
D
Infinitely many solutions

Answers

Answer:

B

Step-by-step explanation:

2 solutions because they is solution to it

One centimeter is 100 times bigger than a meter
True
False

Answers

Answer:

True

Step-by-step explanation:

1 Meter is equal to 100 centimeters

Answer: True

Explanation: 1 meter=100 cm

Diane made 4 identical necklaces, each having beads and a pendant. The total cost of the beads and pendants for all 4 necklaces was $23.20. If the beads cost $2.90 for each necklace, how much did each pendant cost?

Answers

Answer:

what is the difference in length and the shortest length

What is the value of the positive zero of the function defined by 15x2 + 100x – 70 – (17x – 6x2)?

A.
eq115910_a1

B.
eq115910_b1

C.
eq115910_c1

D.
eq115910_d1

Answers

Answer:

hello

15 x² + 100 x - 70 - 17 x + 6 x²

=  9 x² + 83 x - 70

9 x² + 83 x - 70 = 0

Δ = 83 ² - 4 ( 9 * - 70 ) = 6 889 + 2 520 = 9 409 = 97 ²

x 1  = ( - 83 - 97 ) / 18 = -  180/18 = - 10

x 2 = ( - 83 + 97 ) / 18 =  14 /18  = 7 /9

Step-by-step explanation:

What fraction of 5 is 3?

Answers

Step-by-step explanation:

5÷3=5/3 .The Numerator is > Denominator. So the fraction 5/3 is an Improper Fraction.

So the Proper Factored Form=1+2/3=1 2/3.

In fact 1 2/3 is a Mixed Fraction. But since its Numerator 2 < Denominator 3 ( of the Factional part)

The mathematical interpretation of "what fraction of 5 is 3?" is 5/3

First, we need to identify the numerator and the denominator

The numerator is the number on top of a fraction

The denominator is the number beneath a fraction

Since 3 is said to be a fraction of 5:

The numerator = 5

The denominator = 3

Fraction = Numerator / Denominator

Fraction = 5/3

Therefore, the mathematical interpretation of "what fraction of 5 is 3?" is 5/3

Learn more here: https://brainly.com/question/9492789

use the substitution method to solve the system of equations. choose the correct ordered pairs
-x=-y-6
x+2y=12
a. (7,1)
b. (8,2)
c. (6,0)
d. (9,3)

Answers

Answer:

c. (6, 0)

Step-by-step explanation:

First, add y on both sides of the first equation, so it's easier to solve:

-x+y = 6

x+2y = 12

Then, add the 2 equations:

3y = 18

y = 6

Since c is the only one with a 6, we can deduce that the answer is c.

We can further check by plugging y back into the first equation:

-x+6 = 6

-x = 0

x = 0

This confirms that the answer is c.

I hope this helped.

Which equation demonstrates the distributive property?

Answers

The answer is either C or D . Top Answer is C

Answer:

C)

Step-by-step explanation:

The distributive property is

a(b + c) = ab + ac.

Choice C) shows the distributive property in reverse.

Answer: C)


Question 7

Find the distance between -2.5 and 1.8. (Draw a number line if necessary
to solve)

Answers

Answer:

-0.35

Step-by-step explanation:

(2.5+1.8)÷2 then minus from 1.8

4.3÷2=2.15

1.8-2.15= -0.35

A flower garden is shaped like a circle. Its diameter is 30 yd. A ring-shaped path goes around the garden. Its outer edge is a circle with diameter 36 yd.The gardener is going to cover the path with sand. If one bag of sand can cover 6 yd², how many bags of sand does the gardener need? Note that sand comes only by the bag, so the number of bags must be a whole number. (Use the value 3.14 for π.)

Answers

We started by finding the area of the two respective circles, then we found the area of the path, after which we estimated the number of sand bags needed to be 51.8 bags

Ans 51.8 bags

Area of Circle

Given data

Diameter of flower garden d = 30 ydDiameter of outer edge D = 36 ydNo of bags of sand = ??

Area of path = Area of outer edge - area of garden

Area of path = πD^2/4 - πd^2/4

Area of path = 3.142*36^2/4 - 3.142*30^2/4

Area of path = 3.142*1296/4 - 3.142*900/4

Area of path = 4072.032/4 - 2827.8/4

Area of path = 1018.008 - 706.95

Area of path = 311.058 square yd

1 bag of sand will cover 6yd^2

x bags of sand will cover 311.058 yd^2

cross multiply we have

x = 311.058/6

x = 51.843 bags of sand

Learn more about the area of circle here:

https://brainly.com/question/14068861

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