What is the magnitude of -10 + 24i?

Answers

Answer 1

Answer:

The magnitude of the complex number is 26.

Step-by-step explanation:

Magnitude of a complex number:

The magnitude of a complex number in the format of a + bi is:

[tex]\sqrt{a^2 + b^2}[/tex]

What is the magnitude of -10 + 24i?

a = -10, b = 24. So

[tex]\sqrt{(-10)^2 +(24)^2} = \sqrt{100+576} = \sqrt{676} = 26[/tex]

The magnitude of the complex number is 26.


Related Questions

Write a first degree function g(x) and a second degree function h(x).

Answers

Answer:

g(x) = 6x - 8

h(x) = 2x^2 + 4x - 5

Step-by-step explanation:

g(x) = 6x - 8

h(x) = 2x^2 + 4x - 5

Neal thought of a number. When he divided 47 by his number the remainder was 5. What can Neal's number be? Find all possible answers

Answers

47x5= 235
235 divided by 5 =47
Neals number could be 47

Answer:

[tex]\{\ldots -89,-42,5,52,99,\ldots\}[/tex]

Step-by-step explanation:

His number must be an integer multiple of 47, plus 5.

[tex]47n+5[/tex]  where n  is any integer.

PLEASE HELP.

Which TWO statements below are true about a polygon
. A quadrilateral is a polygon
. A ☆is a polygon.
A triangle is a polygon.
A circle is a polygon.

Answers

Answer:

2

Step-by-step explanation:

A quadrilateral is a polygon and A triangle is a polygon. I think

Divide £42 in the ratio 4:3

Answers

Answer:

Should be 24:18

Step-by-step explanation:

E

Add.write the answer as a mixed number in the simplest form.

Answers

Answer:

5[tex]\frac{11}{12}[/tex]

Step-by-step explanation:

GCF of 4 and 6 is 12

1/6 = 2/12

3/4 = 9/12

4 + 1 = 5

2/12 + 9/12 = 11/12

5 11/12

Answer:

71/12

Step-by-step explanation:

First you want to make the denominators in the fractions the same number. To do so, we need to multiply both the numerators and the denominators. Do this until the denominators are the same.

[tex]\frac{1}{6} *\frac{4}{4} = \frac{4}{24}[/tex]

[tex]\frac{3}{4} *\frac{6}{6} = \frac{18}{24}[/tex]

Now add

[tex]4\frac{4}{24} + 1\frac{18}{24} = 5\frac{22}{24}[/tex]

After adding, you need to multiply the whole numbers by the denominator and add that number to the numerator.

[tex]5*24=120[/tex]

[tex]\frac{120}{24} +\frac{22}{24} = \frac{142}{24}[/tex]

Finally simplify

[tex]\frac{142}{24} / \frac{2}{2} = \frac{71}{12}[/tex]

Sam built a circular fenced-in section for some of his animals.The section has a circumstance of 55 meters.What is the Approximate area, in square meters, of the section? Use 22/7 for for pi

A) 240.625 m squared
B) 926.5 m squared
C) 2,376.79 m squared
D) 240.8 m squared ​

Answers

Answer:

i think option C is correct hope it helps

Answer:

C) 2,376.79 m squared

Step-by-step explanation:


NEED ANWSERS FAST
33-38
Find the value of x

Answers

Answer:

33. 18

34. 50

35. 50

36. 5

37. 1

38. 24

Step-by-step explanation:

Explanation found on photo! Hope it helped and my apologies for my messy work

What are the prime factors of 24 and 32?​

Answers

Step-by-step explanation:

Prime Factors for 24: 2, 2, 2, and 3.

Prime Factors for 32: 2, 2, 2, 2, and 2.

Answer:

Prime Factors for 24: 2, 2, 2, and 3.

Prime Factors for 32: 2, 2, 2, 2, and 2.

Step-by-step explanation:

awnser plsssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssss

Answers

Answer:

x = 12, x = -4.

Step-by-step explanation:

x² - 8x - 48 = 0.

This factors to (x - 12)(x + 4) = 0.

Proof:

(x - 12)(x + 4) = 0

first: x * x

outer: 4 * x

inner: -12 * x

last: -48.

first: x²

outer: 4x

inner: -12x

last: -48

x² + 4x - 12x - 48

x² - 8x - 48.

To find the zeros, take the individual pairs and find the values that make the equation 0.

x - 12 = 0

Add 12 to both sides.

x = 12.

x + 4 = 0

Subtract 4 from both sides.

x = -4.

Answer:

x= 4 + 2√5, x = 4 - 2√5

Step-by-step explanation:

So this is quadratics so you can solve it by completing the square and using the quadratic formula. The quadratic formula is x = (-b±√(b²-4ac)) / (2a).

Qual a área total da pirâmide de Queóps ou Gizé?

Answers

Answer:

Step-by-step explanation:La Gran Pirámide de Giza (también conocida como la Pirámide de Keops o la Pirámide de Keops) es la más antigua y más grande de las pirámides del complejo piramidal de Giza que limita con la actual Giza en el Gran Cairo, Egipto. Es la más antigua de las Siete Maravillas del Mundo Antiguo y la única que permanece prácticamente intacta.

Los egiptólogos concluyen que la pirámide fue construida como una tumba para el faraón egipcio Jufu de la Cuarta Dinastía y estiman que fue construida en el siglo 26 aC durante un período de alrededor de 27 años. [3]

Inicialmente con 146,5 metros (481 pies), la Gran Pirámide fue la estructura más alta hecha por el hombre en el mundo durante más de 3.800 años. A lo largo de la historia, se eliminó la mayor parte de la cubierta de piedra caliza blanca lisa, lo que redujo la altura de la pirámide a los actuales 138,5 metros (454,4 pies). Lo que se ve hoy es la estructura central subyacente. Se midió que la base era de unos 230,3 metros cuadrados, lo que da un volumen de aproximadamente 2,6 millones de metros cúbicos (92 millones de pies cúbicos), que incluye un montículo interno. [4]

Las dimensiones de la pirámide, expresadas en unidades de medida del antiguo Egipto, eran de 280 codos de alto, una longitud de base de 440 codos, con un seked de 5+

1

/

2

palmeras (pendiente de 51 ° 50'40 ").

La Gran Pirámide se construyó extrayendo aproximadamente 2,3 millones de bloques grandes con un peso total de 6 millones de toneladas. La mayoría de las piedras no son uniformes en tamaño o forma y solo están vestidas de manera tosca. [5] Las capas exteriores se unieron con mortero. Se utilizó principalmente piedra caliza local de la meseta de Giza. Otros bloques fueron importados en barco por el Nilo: piedra caliza blanca de Tura para la carcasa y bloques de granito de Asuán, con un peso de hasta 80 toneladas, para la estructura de la Cámara del Rey. esto podría ayudar lo siento si no

Dalgliesh the detective fancies himself a shrewd judge of human nature. In careful tests it has been discovered that he is right 80 percent of the time when he says that a ran­domly chosen suspect is lying. Dalgliesh says that Jones is lying. The polygraph expert, who is right 100 percent of the time, says that 40 percent of the subjects interviewed by Dalgliesh are telling the truth. What is the probability that Jones is lying?

Answers

Answer:

The probability that Jones is lying is 6/7

Step-by-step explanation:

First we will list out 2 different cases when the outcome is a lie

1.probability that Jones tells lies is = 0.6 and probability that dalgiliesh analyses it correctly is 0.8

So the probability that dagliesh correctly analyses that he is telling lies is 0.8*0.6=0.48

2.Probability that Jones tells truth is 0.4 and if dagliesh analyses it incorrectly (which has a probability of 0.2) the outcome(as analysed by dagiliesh) is a lie

So probability that dagliesh analyses Jones truth as a lie is 0.2*.0.4=0.08

Total probability of outcome being a lie is 0.48+0.08=0.56

But we need the probability of Jones actually saying a lie which is nothing but 0.48/0.56= 6/7

What is the surface area of the cylinder with height 5 m and radius 7 m? Round your answer to the nearest thousandth. ​

Answers

Answer:

It SHOULD be 527.79(m2) If I'm not mistaken.

Step-by-step explanation:

Answer:

7000

Step-by-step explanation:

7×1000=7000

5×5=25÷5=5-5=0

WILL GIVE BRAINLIEST AND 40 POINTS TO CORRECT ANSWER (URGENT)

chef daniels places her favorite recipes in a bag for 4 pasta dishes, 5 casseroles, 3 types of chili, and 8 desserts. If Chef Daniel chooses two recipes at random (but replaces the first one before drawing the second), what is the probability that the first recipe she selects is a casserole and the second recipe she selects is a dessert?

Answers

Answer:

Hi

Step-by-step explanation:

I have the same question, did you figure it out?

PLS HELP FAST NO LINKS
32 Ib 12 oz=_Ib

A.32.5
B.32.75
C.33
D.44

Answers

Answer:

option  C

Step-by-step explanation:

12 Is 1 pound

so 32 plus 1 is 33

I hope this helped!

In triangle MNO the measure of angle O =90 degrees the measure of angle M =66 degrees and NO = 60 feet Find the length of MN to the nearest tenth of a foot

Answers

Answer:

Length of MN = 65.68 feet (Approx.)

Step-by-step explanation:

Given:

Height of NO = 60 feet

Angle ∠M = 66°

Find:

The length of MN

Computation:

Given triangle is a right angled triangle

So,

NO is a perpendicular

MN is hypotenuse

Using trigonometry functions

Sin θ = Perpendicular / Hypotenuse

Sin 66 = NO / MN

0.9135 = 60 / Length of MN

Length of MN = 60 / 0.9135

Length of MN = 65.68 feet (Approx.)

Answer: approximately 65.6782 = 65.7

Step-by-step explanation:

Help ASAP no links please

Answers

Answer:

f(x) = -4x + 21

Step-by-step explanation:

Given:

(4, 5) and (2, 13)

Required:

Linear function of that passes through the given points

Solution:

We need to determine the slope (m) and y-intercept (b) of the function.

✔️Finding the slope using the points given:

Slope (m) = change in y/change in x

= (13 - 5)/(2 - 4)

= 8/-2

m = -4

✔️To find y-intercept (b), substitute (x, f(x)) = (4, 5) and m = -4 into f(x) = mx + b

5 = -4(4) + b

5 = -16 + b

5 + 16 = b

b = 21

✔️To write the function, substitute m = -4 and b = 21 into f(x) = mx + b

f(x) = -4x + 21

Solve

270.6 is 16 1/2% of what number?


WILL GIVE BRAINLIST

Answers

Answer:

165 po ang sagot

Step-by-step explanation:

yan po talaga ang sagot

270 is 16 1/2%

270 x 0.165

=44.55
I hope this helped have a nice day

please help meeeeeeeeeeee

Answers

Answer:

for example

Step-by-step explanation:

(1,3)

the one would go on the bottom.

and the 3 would go on the vertical side!

hope that helped! :)

You graph from the x-axis and the graph from the y-axis to create the points and then connect them together.

A fire truck pulls up to a burning building with a person trapped at the 4th floor window which is 45 ft off the ground. The truck is parked 9 ft away from the building to give the firefighters and police room to work on the ground. The base of the ladder is 5 ft off the ground already because it is sitting up on the truck. If it takes 2 seconds to extend the ladder one foot, how long will it take the firefighters to extend the ladder to the window?

Answers

Answer:

108 seconds i belive

Step-by-step explanation:

40 x 2 = 80 seconds and if you add the 9ft 108 seconds

Why does my app keep saying I’m not a member even tho it ends on 10/15/21

Answers

Answer:

Oof I have no idea 0_0

Step-by-step explanation:

I dont have brainly plus but I still have unlimited access...

I'm so sorry!!!

Have a nice day <3

an electrician charges a fee of $50 plus $35 per hour. let y be the cost in dollars of using the electrician for x hours. write an equation to model this situation

Answers

Answer:

y = 50 + 35x we dont know how many hours they worked

Step-by-step explanation:

Pls answer this for me. How many paving stones, each 1m long and 80cm wide, are needed to cover a compound 13.6m long and 11m wide?​

Answers

Answer: 187

Step-by-step explanation:

Given

Dimension of stone is [tex]1\ m\times 80\ cm[/tex]

Dimension of compound [tex]13.6\ m\times 11\ m[/tex]

Area of the stone

[tex]\Rightarrow a=1\times 0.8=0.8\ m^2[/tex]

Area of compound

[tex]\Rightarrow A=13.6\times 11=149.6\ m^2[/tex]

No of the stones needed is

[tex]\Rightarrow n=\dfrac{A}{a}\\\\\Rightarrow n=\dfrac{149.6}{0.8}\\\\\Rightarrow n=187[/tex]

Thus, 187 stones are needed

Let a line l be given in the coordinate plane. What linear equation is the graph of line l?
6
5
1
3-
3 2
2
1
0
&
-6
-5
-4
-3
-2
-1
0
1
2
3
4
5
6
7
8
-1

Answers

Answer:

y=2/7x+2.5

Step-by-step explanation:

Susan collected 89 stickers for 28 weeks. how many stickers did she collect in total round off your answer to the nearest hundred

Answers

I think 2,492.

But you said round so maybe 2,500.

WILL GIVE BRAINLIEST!! do not answer if you dont know what the answer is.

3(n + 2) = 9(6 - n)

Answers

n=4

With the equation use the distributive property to multiply 3 into (n+2). And 9 into (6-n).

Then you should have 3n+6=54-9n
You add 9n to both sides to get 12n+6=54.

After you should subtract six from both sides to get 12n=48

The last step is to divide 12 from both sides to get n=4 :)

A rectangle is 64 cm long 40 cm wide find is area and perimeter​

Answers

Answer:

Assuming the length to be x and the width to be y.

Since the area is 64cm, hence

x*y = 64 (equation 1)

Since the perimeter is 40cm, hence

x + x + y + y = 40

2x + 2y = 40

2(x + y) = 2(20)

x + y = 20 (equation 2)

Hence by using simultaneous equation,

x = 20 - y (equation 3)

Substituting equation 3 into equation 1, we get

(20-y)*y=64

20y-y^2=64

Tidying up the equation,

y^2 - 20y + 64 = 0

By using factorisation,

(y-16)(y-4)=0

y=16 or y=4

By substituting y=16 into equation 1,

x*16=64

x = 4

By substituting y = 4 into equation 1,

x*4=64

x=16

Therefore,

The length is 4 cm while the width is 16 cm.

OR

The length is 16 cm while the width is 4cm.

Hope this helps!!

plzzz help for brianly

Answers

Answer:

Add up the area of all the sides

Step-by-step explanation:

Surface area is the shell of a 3d shape, not the volume so you add the outside of the shape.

Hope this helps! :)

4 x 10^4 in Standard Form?

Answers

Answer:

4 × 10^4

→ 4× 10000

→ 40000

Correct option → 40000

hope it helped :)

(50 pts will mark brainliest) The perimeter of a rectangle is 48 inches. The width of the rectangle is 4 inches more than 3 times the length of the rectangle. What are the dimensions of the rectangle?

Answers

Answer:

The rectangle is 5 inches long by 19 inches wide.

Step-by-step explanation:

Let's start by listing what we know:

The perimeter of a rectangle is 48 inches.The width of the rectangle is 4 inches more than 3 times the length of the rectangle.

Let's represent the width with "w" and length with "l", and make a system of equations based on what we know.

[tex]\left \{ {{2w + 2l = 48} \atop {w = 3l + 4}} \right.[/tex]

Now, let's solve the system of equations using substitution:

[tex]2w + 2l = 48[/tex]

[tex]2 (3l + 4) + 2l = 48[/tex]

[tex]6l + 8 + 2l = 48[/tex]

[tex]8l + 8 = 48[/tex]

[tex]8l = 40[/tex]

[tex]l = 5[/tex]

The length of the rectangle is 5 inches.

Now, let's use this to solve for the width.

[tex]w = 3l + 4[/tex]

[tex]w = 3(5) + 4[/tex]

[tex]w = 15 + 4[/tex]

[tex]w = 19[/tex]

The width of the rectangle is 19 inches.

Let's check our work:

[tex]2w + 2l = 48[/tex]

[tex]2(19) + 2(5) = 48[/tex]

[tex]38 + 10 = 48[/tex]

[tex]48 = 48[/tex]

The results match, so our answer is correct.

The rectangle is 5 inches long by 19 inches wide.

Someone know this please help geometry if you are good at it

Answers

Answer:

Option A) outside

[tex]----------[/tex]

hope it helps..

have a great day!!!

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