divide complex numbers -9+8i/-3+9i

Answer:

Hi, there! The total surface area of that prism is 118 cm^2.

Step-by-step explanation:

The three rectangles on the side are called the lateral area, and they add up to 98(I'm assuming you know how to find the area of a 2d shape), and as for the triangles on the sides, you can just use the formula which is [tex]b*h/2[/tex].

Hope this helps :)

Answer:
118 cm²

Step-by-step explanation:

Area of rectangle = l x b
= 7 x 5 = 35cm²
=4 x 7 = 28cm²
Add the area of the three rectangles = 35+35+28
=98cm²
Area of triangle = 1/2 x b x h
= 1/2 x 4 x 5
= 10 + 10 = 20
Therefore, area of the prism = 118cm²

Answer:

1 and 4, 2 and 3, 3 and 7, 4 and 8.

Answer:

2 + x > 8

Step-by-step explanation:

Answer:

Y=6X

Step-by-step explanation:

Step by step explanation is on the pic above

Answer:

y = 6x

Step-by-step explanation:

We can find the relationship by looking at each value for X and Y and finding which number makes the equation true

The first equations says Y = 3 when X = 0.5, Lets put this into an equation

[tex]3= ?*0.5[/tex]

The only number that would make this equation true is 6

[tex]3=0.5*6[/tex]

Lets try another, The Third equation says that Y = 9 when X = 1.5

[tex]9 = 1.5*?[/tex]

Again, the only number that works is 6

[tex]9=1.5*6[/tex]

Hence the equation for this table is [tex]Y=6x[/tex]

Answer:

LA: 37.68 in squared

TSA: 94.2 in squared

Answer:

Hypotenuse= 180.7 cm

Step-by-step explanation:

Using Pythagoras' theorem:

a^2+b^2=c^2                     (let c= Hypotenuse "H")

(136)^2 + (119)^2 =  H^2

18496+14161 =H^2

H^2= 32657

Taking square root on both sides

[tex]\sqrt{H}[/tex]= [tex]\sqrt{32657}[/tex]

H=180.7

To know the number of boxes that can fit divide the volume of the shipping container by the volume of one cereal box.

To do this use the formula;

Since both the container and the boxes likely have a defined rectangular shape you can use this formula:

For example:

Dimensions of the container:

120 cm x 100 cm x 100 cm = 1200000 cubic centimeters

Dimensions of the boxes:

30 cm x 30 cm x 10 cm = 9000 cubic centimeters.

1200000 cc / 9000 cc = 133 boxes.

Note: This question is incomplete because the diagram is not provided; due to this, I answered it based on general knowledge.

Learn more about boxes in: https://brainly.com/question/2511671

Answer:

17 wings

Step-by-step explanation:

Money/How Many

19.60/14=1.4

1.4 is the unit rate, so we divide 23.80/1.4 to find how many chicken wings

which equals 17

Answer:
the lines

Step-by-step explanation:

first you have to draw the lines on a double number line diagram

Answer:

7/10 = x/360

Solve for x and you will get 252 degrees. Now to convert it to radians,

you do 252 * pi/180(1 pi = 180 degrees) = 1.4pi. This means 7pi/5

For the values of x, the quadratic function f(x) = 3x² – 2x + 5 is satisfied. Then the correct option is B.

It is a polynomial that is equal to zero. Polynomial of variable power 2, 1, and 0 terms are there. Any equation having one term in which the power of the variable is a maximum of 2 then it is called a quadratic equation.

At x = –2, the f(x) will be

f(x) = 3x² – 2x + 5

f(x) = 3(–2)² – 2(–2) + 5

f(x) = 12 + 4 + 5

f(x) = 21

At x = –1, the f(x) will be

f(x) = 3x² – 2x + 5

f(x) = 3(–1)² – 2(–1) + 5

f(x) = 3 + 2 + 5

f(x) = 10

At x = 0, the f(x) will be

f(x) = 3x² – 2x + 5

f(x) = 3(0)² – 2(0) + 5

f(x) = 0 + 0 + 5

f(x) = 5

At x = 1, the f(x) will be

f(x) = 3x² – 2x + 5

f(x) = 3(1)² – 2(1) + 5

f(x) = 3 – 2 + 5

f(x) = 6

At x = 2, the f(x) will be

f(x) = 3x² – 2x + 5

f(x) = 3(2)² – 2(2) + 5

f(x) = 12 – 4 + 5

f(x) = 13

More about the quadratic equation link is given below.

https://brainly.com/question/2263981

Answer:$58.80

Step-by-step explanation:

{[(3 x 4) + (2 x 3)/2] - (0.4 x 0.75)} x $4 = $58.80

Answer:

$52000.00

Step-by-step explanation:

formula= principal (1+(rate÷100))^years

500 (1+(4÷100))^1

500 (1+0.04)^1

500 (1.04)

520

$520.00

100 cents = $1

520×100

52000 cents

answer is the 3rd one np

Answer:

Step-by-step explanation:

mP=5x-14

mQ=x-5

mR=2x-9

we know that all the angles in a triangle= 180

that means (5x-14)+(x-5)+(2x-9)=180

5x-14+x-5+2x-9=180  we add the variables and the numbers

8x=180+28

8x=108

x=26

mP=130-14=116

mQ=26-5=21

mR=43

Answer:

Step-by-step explanation:

The volume of a sphere is defined to be:

[tex]V=\frac{4}{3} \pi r^3[/tex]

Plug in the values for both planets. The radii of the planets was already given:

[tex]V_e=\frac{4}{3} \pi (6378.1)^3[/tex]

[tex]V_e=1.1*10^1^2kg^3[/tex]

[tex]V_m=\frac{4}{3} \pi (3390.0)^3[/tex]

[tex]V_m=1.6*10^1^1kg^3[/tex]

Earth is this many times larger than Mars:

[tex]\frac{V_e}{V_m} =\frac{1.1*10^1^2}{1.6*10^1^1} =6.9[/tex]

Answer:

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

Step-by-step explanation:

[tex]\frac{5}{9}[/tex] × [tex]\frac{3}{4}[/tex] = [tex]\frac{15}{36}[/tex]

HCF of 15,36 = 3

[tex]\frac{15}{36}[/tex] ÷ [tex]\frac{3}{3}[/tex] = [tex]\frac{5}{12}[/tex]

Answer:

1090 yd squared

Step-by-step explanation:

First, let's find the area of the base

16 x 17 = 272

Now let's find the triangular face

1/2 x 16 x 15

8 x 15 = 120

Since there are 2, we multiply 120 by 2

240

Now the rectangular face

17 x 17 = 289

Since there are 2, we multiply 289 by 2

289 x 2 = 578

Now we add them all together

578 + 240 + 272 = 1090

1090 yd squared

Answer:

A, D, and F

Step-by-step explanation:

A. True, because  represents a quadratic function (the greatest power of x is 2)

B. False, because this function is quadratic, so cannot be linear

C. False. The vertex of the parabola is at point (-7,4) (see diagram)

D. True. The axes of symmetry is the line x=-7 that passes through the vertex.

E. False. The y-intercept is at point x=0 and

F. True. The graph has the maximum at the vertex, where

G. False. The graph of the parabola intersects the x-axis at two points (-9,0) and (-5,0), so x=-9 and x=-5 are two real solutions of the equation f(x)=0.

Answer:

5.94587615×10^9

Step-by-step explanation:

You just...put it in a calculator?

All of the above except for the last one

Answer:

A = 280 ft²

Step-by-step explanation:

the figure is composed of a rectangle and a triangle.

area of rectangle = 20 × 10 = 200 ft²

area of triangle = [tex]\frac{1}{2}[/tex] bh ( b is base and h the height )

b = 20 and h = 18 - 10 = 8 , then

area = [tex]\frac{1}{2}[/tex] × 20 × 8 = 10 × 8 = 80 ft²

total area A = 200 + 80 = 280 ft²

Answer:

8.2 m

Step-by-step explanation:

Divide 37.72 (area) by 4.6 (height) to find the base. H x b = A

Answer:

the answer is 135

Step-by-step explanation:

........

Answer:

85/14 or 6 1/14

step by step explanation:

2 3/7 = 17/7

17/7  /  2/5 = 85/14

85/14 = 6 1/14

Answer:

583 x 6% = 34.98 = approximately 35

Answer:

[tex]

\begin{gathered}A=\underbrace{\begin{pmatrix}1&2\\4&3\end{pmatrix}}_{M_1}\underbrace{\begin{pmatrix}6&1&5\\7&3&4\end{pmatrix}}_{M_2}\end{gathered}[/tex]

Step-by-step explanation:

[tex]If AA is \: the \: matrix \: product

\begin{gathered} \: A=\underbrace{\begin{pmatrix}1&2\\4&3\end{pmatrix}}_{M_1}\underbrace{\begin{pmatrix}6&1&5\\7&3&4\end{pmatrix}}_{M_2}\end{gathered}A=M1(1423)M2(671354)[/tex]