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.
Write a first degree function g(x) and a second degree function h(x).
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
Solve
270.6 is 16 1/2% of what number?
WILL GIVE BRAINLIST
Answer:
165 po ang sagot
Step-by-step explanation:
yan po talaga ang sagot
(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?
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.
NEED ANWSERS FAST
33-38
Find the value of x
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
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
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.
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?
Answer:
108 seconds i belive
Step-by-step explanation:
40 x 2 = 80 seconds and if you add the 9ft 108 seconds
4 x 10^4 in Standard Form?
Answer:
4 × 10^4
→ 4× 10000
→ 40000
Correct option → 40000
hope it helped :)
A rectangle is 64 cm long 40 cm wide find is area and perimeter
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!!
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?
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
Divide £42 in the ratio 4:3
Answer:
Should be 24:18
Step-by-step explanation:
E
PLS HELP FAST NO LINKS
32 Ib 12 oz=_Ib
A.32.5
B.32.75
C.33
D.44
Answer:
option C
Step-by-step explanation:
12 Is 1 pound
so 32 plus 1 is 33
I hope this helped!
please help meeeeeeeeeeee
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! :)
Help ASAP no links please
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
What is the surface area of the cylinder with height 5 m and radius 7 m? Round your answer to the nearest thousandth.
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
Why does my app keep saying I’m not a member even tho it ends on 10/15/21
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
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.
Answer:
2
Step-by-step explanation:
A quadrilateral is a polygon and A triangle is a polygon. I think
WILL GIVE BRAINLIEST!! do not answer if you dont know what the answer is.
3(n + 2) = 9(6 - n)
Susan collected 89 stickers for 28 weeks. how many stickers did she collect in total round off your answer to the nearest hundred
I think 2,492.
But you said round so maybe 2,500.
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
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:
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
Answer:
y=2/7x+2.5
Step-by-step explanation:
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
Answer:
i think option C is correct hope it helps
Answer:
C) 2,376.79 m squared
Step-by-step explanation:
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?
Answer:
Hi
Step-by-step explanation:
I have the same question, did you figure it out?
What are the prime factors of 24 and 32?
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:
Qual a área total da pirâmide de Queóps ou Gizé?
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
plzzz help for brianly
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! :)
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
Answer:
y = 50 + 35x we dont know how many hours they worked
Step-by-step explanation:
Someone know this please help geometry if you are good at it
Answer:
Option A) outside
[tex]----------[/tex]
hope it helps..
have a great day!!!
awnser plsssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssss
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).
Add.write the answer as a mixed number in the simplest form.
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:
71/12Step-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]
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?
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