What is an imaginary number?

Answers

Answer 1

An imaginary number is a complex number that can be written as a real number multiplied by the imaginary unit i, which is defined by it's property i² = −1. The square of an imaginary number bi is −b². For example, 5i is an imaginary number, and it's square is −25.


Related Questions

An art class is making a mural for their school which has a triangle drawn in the middle. The length of the bottom of the triangle is x. Another side is 13 more than two times the length of the bottom of the triangle. The last side is 11 more than the bottom of the triangle. Write and simplify an expression for the perimeter of the triangle.

Answers

Answer:

P = 4x + 24

Step-by-step explanation:

Sides of the triangle:

bottom = xside1 = 2x + 13side2 = x + 11

Perimeter is the sum of side lengths:

P = x + 2x + 13 + x + 11 = 4x + 24

How many bows can you make from 3 2/3 meters of ribbon if one bow takes 1/4 meter of ribbon?

Answers

Answer:

14 bows can be made from [tex]3\frac{2}{3}[/tex] meters of ribbon.

Step-by-step explanation:

Given that:

Length of ribbon available to make bows = [tex]3\frac{2}{3}[/tex] meters = [tex]\frac{11}{3}[/tex] meters

Ribbon used to make 1 bow = 1/4 meter

Let,

x be the number of bows made.

[tex]\frac{1}{4}x=\frac{11}{3}[/tex]

Multiplying both sides by 4

[tex]4*\frac{1}{4}x=\frac{11}{3}*4[/tex]

x = [tex]\frac{44}{3}[/tex]

x = 14.66

As the number of bows cannot be in decimal.

Hence,

14 bows can be made from [tex]3\frac{2}{3}[/tex] meters of ribbon.

It takes 77 pounds of seed to completely plant a 10-acre field. How many pounds of seed are needed per acre?

Answers

Answer:

7

Step-by-step explanation:

PLZ HALP!!!!! the length of a rectange is 1 7/9 inches, and its width is 3/4 of its length. find the area of this rectangle.

Answers

9514 1404 393

Answer:

  2 10/27 square inches

Step-by-step explanation:

The length is 1 7/9 = 16/9 inches. The width is 3/4 of that, so is ...

  (3/4)(16/9) = 4/3 inches

The area is the product of length and width, so is ...

  A = (16/9 in)(4/3 in) = 64/27 in²

The area of the rectangle is 2 10/27 square inches.

what is m∠1 if m∠7 = 60°?

Answers

Step-by-step explanation:

95vxgr Tu fjvgzgvkvgshvysrvv


Wrote an expression equivalent to the one below using the identity property 4x1

Answers

Answer:

1x4

Step-by-step explanation:

identity property is any number multiplied by itself is the same number

what represents the quantitative forecast

Answers

Answer:

Quantitative forecasting relies on data that can be measured and manipulated. The data is usually from the past. This type of analysis is best for short-term forecasting as making assumptions about the future based on past performance is much more likely to be accurate in the near future.

Step-by-step explanation:

Find the area of the Composite Shape.

PLEASE HELP! ​

Answers

Answer:

[tex]\large\boxed{41.14 inches^2(2 d.p)}[/tex]

[tex]\large\boxed{41.1inches^2 (1 d.p)}[/tex]

Step-by-step explanation:

Important Information:

Area of a circle= [tex]\pi r^2[/tex]

Area of a triangle= [tex]\frac{base*height}{2}[/tex]

Diameter of a cirlce= [tex]2*radius[/tex]

Method:

The first step is to divide the shape into smaller shapes. In this case, we have a right -angled triangle and a semi-circle.

The next step is to work out the area of the triangle. Since we know the radius of the semi-circle is 3 inches, to work out the diameter we would simply multiply the radius of 3 by 2, this gives us 6 inches. This is because the radius is half of the diameter.

Now that we know the diameter of the semi-cirlce, we can begin to work out the area of the triangle. We can do this by first multiplying the base of 6 inches by the height of 9 inches, this gives us 54 inches squared. This however gives us the area of 2 of those triangles. To work out the area of that triangle, we would need to divide the value of 54 by 2, this gives us 27 inches squared.

The next step is to work out the area of the semi-circle. We can do this by multiplying pi by the radius of 3, squared, this gives us 28.27 inches squared (2 d.p). However, this is for a full circle and we need to work out the area of the semi-circle. We can do this by dividing the area of the circle, which is 28.27, by 2, this gives us 14.14 inches squared (2 d.p). This is because a semi-cirlce is half of a circle.

The final step is to add the Areas of the two shapes together. You can do this by adding the area of the triangle, which is 27 inches squared, to the area of the semi circle, which is 14.14 inches squared (2 d.p), this gives us 41.14 inches squared (2 d.p).

Step by Step:

1) Multiply 3 by 2.

[tex]3*2=6[/tex]

2) Multiply 6 by 9.

[tex]6*9=54 inches^2[/tex]

3) Divide 54 by 2.

[tex]54/2=27inches^2[/tex]

4) Multiply pi by 3 squared.

[tex]\pi*3^2=28.27 inches^2 (2 d.p)[/tex]

5) Divide 28.27 by 2.

[tex]28.27/2=14.14inches^2 (2 d.p)[/tex]

6) Add 27 to 14.14.

[tex]27+14.14=41.14inches^2 (2 d.p)[/tex]

Find the volume of the right cylinder. Round your answer to two decimal places.

Answers

Answer:

307.88

Step-by-step explanation:

At the kennel, there are 6 dogs for every 5 cats. The ratio of cats to dogs is ______ to ______. Enter your answer in this format: "1,2" brainliest if answer

Answers

Answer:

1.0 ez clap

Step-by-step explanation:

The answer is for every cat to dogs is 5 to 6
Or 5:6
If you’re looking for a much simpler answer or scale factor it is 1.2

For a bake sale, Trisha wants to make between 144 and 168 cookies. She already has 24 cookies made and has 4 hours left to bake cookies.

Answers

She sold 57 cookies 57 will be the awnser

HELP PLS. THIS IS WORTH THE MAX AMOUNT OF POINTS I CAN GIVE! PLS!!!!!!!!

Answers

Answer:

what's the grade level?

Step-by-step explanation:

Answer:

122,850 sq. ft.

Step-by-step explanation:

The area of a circle is A = πr²; since these are semi-circles, the area would be given by A = 1/2πr².  Using 1/2x in place of r, we have

A = 1/2π(1/2x)² = 1/2π(1/4x²) = 1/8πx²

Using 22/7 for π, we have

A = 1/8(22/7)x² = 22/56x²

Since there are 2 semi-circles, this gives us

2(22/56x²) = 44/56x²

Simplifying this, we have

A = 22/28x² = 11/14x²

This gives us the expression

2x²+11/14x² for our expression for the area.

(Without using 22/7 for pi, we have

2x²+2(1/8πx²) = 2x²+2/8πx² = 2x²+1/4πx²

Using 210 for x and 22/7 for π, we have

A = 2(210²)+1/4(22/7)(210²) = 88200+34650= 122,850

FIND THE MEASURE OF ANGLE F PLS HELP ASAP!

Answers

Answer:

We know that the sum of the the interior angles of a quadrilateral is 360°.

In the figure, angle H = angle F

angle H+ angle F+ angle E+ angle G =360°

[tex]x + x + 87 + 31 = 360 \\ 2x + 118 = 360 \\ 2x = 242 \\ x = \frac{242}{2} \\ \boxed{x = 121}[/tex]

Therefore, Angle F = 121°.

A group of students recycled 7 2/3 pounds of glass and 9 3/4 pounds of paper. How many pounds of glass and paper did the students recycle alltogether?

Answers

Answer:

17 5/12 is the final answer  

Step-by-step explanation:

First change the fractions so they have the same denominator so that would make 7 2/3 ---- 7 8/12 and 9 3/4 would become 9 9/12 then you add to get 16 17/12 which is an improper fraction so change that to 17 5/12.

Which product shows the decimal placed correctly?

1.4 x 1.5

A) 210
B) 21
C) 2.1
D) 0.21

Answers

Answer:

the answer is C __________________________________

C)2.1 I at he correct answer

aight plz help anyone lol

Answers

Answer:

=140/7-13/7

hope it helps.

Helpppppppppppppppp pleaseeeeee

Answers

290.4 I'm guessing cuz bbn it closest to what I got

A train travels 90 3/5 miles in 3/4 of an hour. What is the average speed, in miles per hour, of the train? I also have to show my work please help

Answers

Answer:

[tex]120 \frac{4}{5}[/tex] or 120.8 miles per hour

Step-by-step explanation:

We first convert the distance into an improper fraction to facilitate calculation.

[tex]90 \frac{3}{5} = \frac{90\times 5 + 3}{5} = \frac{453}{5}[/tex]

Average speed

= distance/time

= [tex]\frac{\frac{453}{5}}{\frac{3}{4}}[/tex]miles per hour

= [tex]\frac{453}{5} \times \frac{4}{3}[/tex] miles per hour

= [tex]\frac{604}{5}[/tex] miles per hour

= [tex]120 \frac{4}{5}[/tex] miles per hour or 120.8 miles per hour

What is the linear inequality that represents the graph shown?​

Answers

Answer:2/4

Step-by-step explanation:

In ΔVWX, the measure of ∠X=90°, the measure of ∠W=9°, and WX = 8.7 feet. Find the length of XV to the nearest tenth of a foot.

Answer:

y<-1/3x+3

Step-by-step explanation:

The slope of this graph is -1/3 (If I read the graph correctly), from points (-3,4) and (0,3).

The graph is a y-intercept of 3, because it crosses the y-axis at 3, (0,3).

To find whether this statement is true or not, you can plug in a random point from the shaded area and test that point. (I like to use the origin, (0,0))

(0)>-1/3(0)+3     (0)<-1/3(0)+3    

0>0+3               (0)<+3    

0>3                    0<3

The one to the right, 0<3, is true so the sign is a less than sign.

Also make sure that the line either makes a less than/ less than or equal to sign. Because the line is dashed, it makes a less than sign.

Addition or division

Answers

Divide
3/8 / 2
3/8 / 2/1
3/8*1/2
3*1/8*2
=3/16

Olivia has a shoe box in the shape of a rectangular prism. She decorates 4 faces of the box, leaving the top and the bottom without decorations. The unshaded parts of the model and the diagram below the parts that she decorates. What is the total area that Olivia decorates?

Answers

Answer:

440

Step-by-step explanation:

Taking the test!

Good luck, buddy!

Answer:

B

Step-by-step explanation: 400 or 4ft x 10ft

Determine whether a triangle can be formed with the given side lengths. If the side lengths
can form a triangle, determine if they will form an isosceles triangle, equilateral triangle, or
neither.
2 mi, 4 mi, 9 mi

Answers

Answer:

it can't form isosceles triangle cause any two sides of the triangle are not equal ,it can't form equalateral triangle cause 3 sides of the triangle are not equal and neither right angle triangle so triangle can't be formed

Helppppppppppppppppppp

Answers

Answer:

Interior angles sum to 180 So 92+ 57+ x= 180 So x= 31
Number one is 35 number two is 125 your welcome

s m a r t p e o p l e o n l y
please help me!

Answers

the answer is 11:37 am

Answer:

answer is 11: 37 am

I am sure ;-))

Given ΔPQR and ΔSTU, what is m∠Q?

Answers

Given that ΔPQR and ΔSTU are similar triangles, m∠Q = 64°.

Similar TrianglesThe ratios of the corresponding sides of similar triangles are always equal to each other, that is, the corresponding sides are proportional.Also, corresponding angles of two similar triangles are congruent.

Thus:

ΔPQR and ΔSTU are similar because:

PQ/ST = PR/SU = QR/TU = 3.5

Therefore,

m∠Q = 180 - 70 - 46

m∠Q = 64°

Thus, given that ΔPQR and ΔSTU are similar triangles, m∠Q = 64°.

Learn more about similar triangles on:

https://brainly.com/question/2644832

Please solve this problem

Deanna is having a party she estimates for that she will need 3 slices of pizza for each guest and 8 extra slices for unexpected guest.

Write an equation that relates the total slices of pizza, T, to the number of guest, g.

Thanks

Answers

Answer:

3g + 8 = T

Step-by-step explanation:

3g + 8 = T because since Deanna estimates 3 slices for each guest, you would times the # of guests by 3, which is 3g. Then you would add 8 because Deanna will need extra 8 slices for the unexpected guests. This equation would tell you how many slices Deanna needs in total.

Hope this helps :D

Where did you get the 165?

Answers

Answer:

There is not enough information to tell the answer to this problem.

Step-by-step explanation:

sorry

Answer:

Sorry but I cant solve this bc there is not enough info

Step-by-step explanation: :/

A bicycle wheel has a diameter of 62cm. The wheel makes 80 complete
revolutions.
How far has the bicycle travelled?
Give your answer in metres

Answers

Answer:

The bicycle traveled 77.9 m

Step-by-step explanation:

Circumference of a Circle

Given a circle of radius r, the circumference or perimeter is calculated as follows:

[tex]C =2\pi r[/tex]

The radius of the bicycle wheel has a radius of r=62 cm. Converting to meters r=62/100=0.62 m.

Calculate the circumference:

[tex]C =2\pi \ 0.62[/tex]

[tex]C=3.8956\ m[/tex]

Given the wheel makes 80 complete revolutions, the total distance covered by the bicycle is:

[tex]D=20*3.8956\ m[/tex]

D = 77.9 m

The bicycle traveled 77.9 m

9x5=
(__×__) + (__×__)=
__+__
=

Answers

Answer:

9×5=(5×5)+(4×5)

Step-by-step explanation:

9×5=(5×5)+(4×5)

25+25

45Answer.

Answer:

Step-by-step explanation:

(3x3)+(2.5x2)=(39+6)

Please help! I’m trying to help my little sister. And I’m not sure what I’m looking at

Answers

Answer:

The answer is 104 because as you can see the angle 126° is bigger than a° so the answer should be 104 :D

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