The length of a rectangular field is 6 metres longer than its width. If the area of the field is 72 square metres, What are the width and the length of the field?​

Answer:

397.16 cm²

Step-by-step explanation:

Area of the circle = πr²

3.14 * 144 = 452.16

452.16 - (11 x 5 ) = area shaded region

452.16 - 55 = 397.16

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Answer:

Step-by-step explanation:

[tex]Tan \ B =\frac{4}{3} = \frac{opposite \ side \ of B}{adjacent \ side \ of B}[/tex]

BC = 15 cm

3x = 15

x = 15/3 = 5

AB =4x = 4*5 = 20 cm

Pythagorean theorem,

AC² = AB² + BC²

       = 20²  + 15 ²

       = 400 + 225

       = 625

AC = √625 = 25 cm

AC = 25 cm

[tex]Sin \ A = \frac{opposite \ side \ of \ angle A }{hypotenuse}\\\\ = \frac{BC}{AB}=\frac{15}{25}=\frac{3}{5}[/tex]

The quotient of 40 and 5

40÷5=8

=> Product of that number with 7 and 8

So number to find is : 7x8=56

The product of 7 and the quotient of 40 divided by 5 is 56.

The quotient is the result which is derived by the division of two numbers.

For example, the quotient of 30 divided by 3 is 10.

The product is the multiplication of two numbers which is written as a*b.

For example, the product of 8 and 9 is 72.

Here given we have to calculate the product of 7 and the quotient of 40 divided by 5.

The quotient of 40 divided by 5 is 40/5= 8

The product of 7 and The quotient of 40 divided by 5= 7*8= 56

Therefore the product of 7 and the quotient of 40 divided by 5 is 56.

Learn more about quotient

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Answer:

5555+2929

= 8484

its an irrational no.

thanks

Answer:

The slope is undefined.

Step-by-step explanation:

    By looking at the table of values, you can see the x values are not changing. If these points were graphed, they would make a vertical line. Whenever this is the case, the line has an undefined slope.

    You can calculate the slope if graphing cannot be done by using the formula: [tex]m=\frac{y_2-y_1}{x_2-x_1}[/tex]

[tex]m=\frac{4-1}{-2-(-2)}\\m=\frac{3}{0}\\[/tex]

    Therefore, the slope of this representation is undefined.

Answer:

0.00065104166

Step-by-step explanation:

Answer:

650000/12% and in fraction 650000devide by 12% you will get 541.`6

Answer:

D 1,433.25

Step-by-step explanation:

1/2(10)(7)=35

35*13=455

455*3.15=1,433.25

Answer:

D

Step-by-step explanation:

You need to find the volume of the attic (I would find the surface area myself -- but this is math. You just have to obey the rules of the question no matter how silly).

The Volume is found by V = B * h1

The base is a triangle.

b = 7 m

h1 = 10 m

Area = 1/2 * 7 * 10

area = 35 m^2

The volume of the attic is

V = B * h

V = 35 * 13

V = 455 m^3

The cost = cost /m^3  * m^3

m^3 = 455

Cost = 3.15 * 455

Cost = 1433.25

Answer:

it uses 3,600 watts of electricity in 3 hours

Electricity used in 40 minutes = 800 watts

So, electricity used in 1 minute

= 800watts/40

= 20 watts

Electricity used in 3 hours

= electricity used in 180 minutes

= electricity used in 1 minute × 180

= 20 watts × 180

= 3600 watts

Answer:

VW=6

Step-by-step explanation:

UW=VW+UV

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

5x= 7x-4

7x-5x=4

2x=4

x=4/2=2

VW=5x-4=5(2)-4=10-4=6

I hope I helped you^_^

Answer:

B

Step-by-step explanation:

The equation of a parabola in vertex form is

y = a(x - h)² + k

where (h, k) are the coordinates of the vertex and a is a multiplier

Here the vertex = (- 2, - 3 ) , then

y = a(x - (- 2))² - 3 , that is

y = a(x + 2)² - 3

To find a, substitute any point on the graph into the equation

Using the coordinates of the y- intercept (0, 5 )

5 = a(0 + 2)² - 3 ( add 3 to both sides )

8 = a(2)² = 4a ( divide both sides by 4 )

2 = a

y = 2(x + 2)² - 3 → B

Given: Figure of a plane named Q with a normal [tex]\overleftrightarrow{BF}[/tex] at point B, containing two lines [tex]\overleftrightarrow{AC}[/tex] and [tex]\overleftrightarrow{DE}[/tex] that intersect at point B

To find:

A line is named using any two points lying on it. A plane, on the other hand is named using any three non-collinear points lying on it.

The logic behind this is that there is an unique line passing through any two points. So, any two points lying on a line is sufficient to name the line.

Similarly, an unique plane can be found that passes through any two lines. That is, any two lines lying on a plane is sufficient to name the plane. Since a line can be defined uniquely by two points, two lines can be defined uniquely by two points each, that is, four points. However, if we take a common point, that is, if we take the point of intersection of the two lines as one of our points, then we need at most three points to define a plane.

Note that, we have to take care that the three points be non-collinear, because if they are collinear, they can only give a single unique line which is not sufficient to uniquely give a plane. Indeed, infinite number of planes passes through a single line.

So, we name a line using two points lying on it and a plane using three non-collinear points lying on it.

Now, the line [tex]\overleftrightarrow{AB}[/tex] clearly passes through points A and B. As can be seen from the figure, it also passes through the point C. We name a line using any two points lying on the line.

So, another name for [tex]\overleftrightarrow{AB}[/tex] can be [tex]\overleftrightarrow{AC}[/tex].

The plane Q contains the points A, B, C, D and E of which the points A, B and C, and the points E, B and D are collinear. So, choosing two sets of three points each such that they are non-collinear, we can have points A, E and C, and the points C, D and B.

Equivalently, two other names for the plane Q can be AEC and CDB.

EBD is not an acceptable name for plane Q because the points E, B and D are collinear points, that is they lie on the same line.

So, we have found that another name for [tex]\overleftrightarrow{AB}[/tex] can be [tex]\overleftrightarrow{AC}[/tex], two other names for the plane Q can be AEC and CDB, and EBD is not an acceptable name for plane Q because the points E, B and D are collinear points.

Learn more about naming of lines and planes here:

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I am simplifying the ven diagram :-

Answer:

KL = 6

Step-by-step explanation:

IL = 26

IJ = 9

JK = 11

KL = ?

To find KL

Let KL be x

IJ + JK + KL = IL

9 + 11 + x = 26

20 + x = 26

transpose to find KL that is x

x = 26 - 20

x = 6

therefore KL = 6

Answer:

KL = 6

Step-by-step explanation:

First step is to create an equation

Given: IL = 26

This means that the sum of the segments that make up IL also equal 26

In other words, IJ + JK + KL = 26 ( note that this is the equation that we will use to solve for the missing segment )

Given: IJ = 9 , JK = 11 and KL = ?

To find the length of the missing segment we simply plug in the known segment lengths into the equation we created and solve for the unknown one.

Equation created: IJ + JK + KL = 26

Variables: IJ = 9 , JK = 11 and KL = ?

Plug in variables into equation

9 + 11 + KL = 26

Now solve for KL

Step 1 Combine like terms ( 9 + 11 = 20 )

20 + KL = 26

Step 2 Subtract 20 from both sides

20 - 20 + KL = 26 - 20

KL = 6

And we are done!

Answer:

[tex] \frac{41}{3} < 14 < \sqrt{200} [/tex]

[tex]0.6 < \frac{2}{3} < \sqrt{ \frac{9}{16} } [/tex]

Step-by-step explanation:

[tex] \sqrt{200} = 10 \sqrt{2} = 14.1 \\ 14 = 14 \\ \frac{41}{3} = 13.6[/tex]

So ;

[tex] \frac{41}{3} < 14 < \sqrt{200} \\ 13.6 < 14 < 14.1[/tex]

[tex] \frac{2}{3} = 0.66 \\ \sqrt{ \frac{9}{16} } = \frac{3}{4} = 0.75 \\ 0.6 = 0.6[/tex]

So ;

[tex]0.6 < \frac{2}{3} < \sqrt{ \frac{9}{16} } \\ 0.6 < 0.66 < 0.75[/tex]

I hope I helped you^_^

GOOD MORNING,

HAVE A GREAT DAY AHEAD

excuse me please

do u want full explanation

Answer:

[tex]4(6a + 2b^2) - 1/3 (27b^2 - 15a)[/tex]

a = -2

b = 3

[tex]4\left(6\left(-2\right)+2^2\right)-1/3\left(27\left(3\right)^2-15\left(-2\right)\right)[/tex]

Follow the PEMDAS order of operations:-

[tex]4\left(6\left(-2\right)+2^2\right)[/tex]

calculate within Parentheses

[tex]6\left(-2\right)+2^2[/tex]

[tex]2^{2} =4[/tex]

[tex]6(-2)=-12[/tex]

Add:-

[tex]-12+4=-8[/tex]

[tex]4\left(-8\right)-1/3\left(27\left(3\right)^2-15\left(-2\right)\right)[/tex]

calculate within Parentheses:-

[tex]27\left(3\right)^2-15\left(-2\right)[/tex]

[tex](3)^{2} =9[/tex]

[tex]27*9=243[/tex]

[tex]243-15\left(-2\right)[/tex]

[tex]15(-2)=-30[/tex]

[tex]243-\left(-30\right)[/tex]

[tex]=273[/tex]

[tex]4\left(-8\right)-1/3\cdot \:273[/tex]

Multiply:-

[tex]4\left(-8\right)=-32[/tex]

[tex]-32-1/3\cdot \:273[/tex]

[tex]1/3*273=91[/tex]

[tex]=-32-91[/tex]

[tex]=-123[/tex]

OAmalOHopeO

Answer:

521.25

Step-by-step explanation:

the circle is 78.75 in area and the square is 600 so 600- 78.75 = 521.25

Answer:

The average value of the Function f(x) by squeeze theorem states that no extreme or greater value will exist within the designated area for f(x)

Answer:

Option A

Step-by-step explanation:

–x2 + 16 = 0

x2=16

x=root16

x=±4

Answer:

A. ±4

Step-by-step explanation:

-x² +16 = 0

x² - 16 = 0

x² = 16

x = ±√16

x = ±4

Answer: A ; ±4

The correct option is

(A)  ±4

Step-by-step explanation:  We are given to solve the following quadratic equation using the method of square roots :

In square root method, we should take x² term on one side and the constant the on other side of the equation Then, we should take the square roots.

From equation (i), we have

Thus, the required solution of the given equation is x =  ±4.

Option (A) is CORRECT.

Answer:

x +10 = 2x-50

x-2x = -50-10

-x. = -60

-x/-1 = -60/-1

x = 60°

Answer:

xjjvbbbnhzxb hai jhfVbfxkdXhxx

Answer:

If this is a numerical equation that you need, than here is an example: 2(6x+5)

or, if you ae not using variables, 2(6+5)

Step-by-step explanation:

In both cases the 2 is the number being distributed. This means that 2 is being multiplied by both 6x and 5 (or 6 and 5).

Answer:

0.02

Step-by-step explanation:

X has 10 boxes and when divided by 100 is equal to 0.1. Y is 2 boxes so just divide it by 100 and you get 0.02.

Answer:

169 sq cm

Step-by-step explanation:

Step-by-step explanation:

C(x) = 2.50 + 5(0.40x)

<=> C(x) = 2.50 + 2.00 x

The required expression for the taxi charges is C(x) = $2.50 + 0.4  * x/5.

Given that,
A New York City taxi charges $2.50, plus $.40 for each fifth of a
mile if it is not delayed by traffic. To determine an expression for the cost of the ride, if travel x miles in the taxi with no traffic delays to determined.

In mathematics, it deals with numbers of operations according to the statements. There are four major arithmetic operators, addition, subtraction, multiplication and division,

Here,
Let the number of miles be x,
The total charge be C(x)
Now accoding to the condition total charge could be the sum of the cost of every fifth mile and $2.40. So, every fifth mile = x / 5
Now,
C(x) = 2.40 + 0.40 * x/5

Thus, the required expression for the taxi charges is C(x) = $2.50 + 0.4  * x/5.

Learn more about arithmetic here:

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Answer:

$65.

Step-by-step explanation:

We know that he spent $65 and had no money left, which means that he started with $65.

Brainliest, please! (I'm trying to become an Ace :))

Answer:

Hello,

Step-by-step explanation:

The well-known magic square. (first apparition in China).

Here it the methode du Marquis de Liouville: (odd square:3,5,7,9,11,13,...)

We are going to put successively the number from 1 to n² (here n=3)

We imagine that the square is put on a sphere;

We begin in the middle of the last line where we put 1

ICI:

We move in direction SE of one case and put le next number

until we reach of multiple of n

After have reached a multiple of n, we move verticaly of one case

and we go to ICI until we reach n²