[IMC 2014 Q23] A sector of a disc is removed by
making two straight cuts from the circumference
to the centre. The perimeter of the sector has the
same length as the circumference of the original
disc.
What fraction of the area of the disc is removed?

The ordered pairs are;

A (2, 4)

B ( -1, 2 ) ,

C (-3, -2) ,

D (2, 0) ,

E ( 0, -4 )

F ( 5, -4 )

What is Coordinate?

A pair of numbers which describe the exact position of a point on a cartesian plane by using the horizontal and vertical lines is called the coordinates.

Now, To find ordered pairs we can count the number of intervals on horizontal and vertical lines.

Horizontal line gives the coordinate of x - axis and vertical line gives the coordinate of y - axis.

So, To find ordered pairs as;

We start at the origin ( where the axis cross).

The point A move 2 units to the right and 4 units up.

So, The ordered pair of A is;

⇒ A (2, 4)

The point B move 1 units to the left and 2 units up.

So, The ordered pair of B is;

B ( -1, 2 ) ,

The point C move 3 units to the left and 2 units down.

So, The ordered pair of C is;

C (-3, -2) ,

The point D move 2 units to the right and on x - axis.

So, The ordered pair of D is;

D (2, 0) ,

The point E on y- axis and move 4 down.

So, The ordered pair of E is;

E ( 0, -4 )

The point F move 5 units to the right and 4 units down.

So, The ordered pair of F is;

F ( 5, -4 )

Therefore, The ordered pairs are;

A = (2, 4)

B = ( -1, 2 ) ,

C = (-3, -2) ,

D = (2, 0) ,

E = ( 0, -4 )

F = ( 5, -4 )

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[tex]\huge\text{Hey there!}[/tex]

[tex]\large\textsf{Looks like you are finding the \boxed{sum} in this question you are \boxed{\rm{adding}} .}[/tex]
[tex]\large\textsf{Now, let us solve for your given equation.}[/tex]

[tex]\mathsf{(-}\large\textsf{10})\large\textsf{ + 1}\\\\\large\textsf{To find the given answer to this equation, you have to START at }\mathsf{-}\textsf{10 \&}\\\large\textsf{go UP 1 space to the right \& you have reached your answers.}\\\\\mathsf{(-}\large\textsf{10})\large\textsf{ + 1}\\\mathsf{= -}\large\textsf{10 + 1}\\\mathsf{= -\large\textsf{9}}\\\\\\\huge\textbf{Therefore, your answer should be:}\\\huge\boxed{\mathsf{-9}}\huge\checkmark[/tex]

[tex]\huge\text{Good luck on your assignment \& enjoy your day!}[/tex]

The value of the expression is  -8 31/35

The expression is given as:

negative 2 and 3 over 5 minus 6 and 2 over 7.

Rewrite properly as

- 2 3/5  - 6 2/7

Express as improper fraction

-13/5 - 44/7

Take the LCM

(-13 * 7 - 44 * 5)/35

Evaluate the difference of products

-311/35

Express as mixed fraction

-8 31/35

Hence, the value of the expression is  -8 31/35

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Answer:

B

Step-by-step explanation:

If the length of one side of Rory's garden is [tex]5^{2}[/tex] then the area of the garden will be equal to 625 [tex]feet^{2}[/tex].

Given that Rory' garden is square in shape and the length of one side of the garden is [tex]5^{2}[/tex] feet.

We are required to find the area of the garden.

Area is basically the quantity that expresses the extent of a region on the plane or on a curved surface.

Area of square=Side*Side

Area=[tex]5^{2}[/tex]*[tex]5^{2}[/tex]

=[tex]5^{4}[/tex]

=625 [tex]feet^{2}[/tex]

Hence if the length of one side of Rory's garden is [tex]5^{2}[/tex] then the area of the garden will be equal to 625 [tex]feet^{2}[/tex].

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Answer: -21

Step-by-step explanation:

Answer:

Step-by-step explanation: bnnnnnnnnnnnnnnm

The number of pennies and nickels are 9 and 11 respectively.

Autumn has $.64 worth of pennies and nickels. She has a total of 20 pennies and nickels all together.

Therefore,

let

x = number of pennies

y = number of nickels

Hence,

x + y = 20

0.01x + 0.05y = 0.64

Multiply equation(i) by 0.01

0.01x + 0.01y = 0.2

0.01x + 0.05y = 0.64

0.04y = 0.44

y = 0.44 / 0.04

y = 11

Therefore,

x = 20 - 11

x = 9

Therefore, the number of pennies and nickels are 9 and 11 respectively.

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He spends x pounds of Raspberries  and y  pounds of pears, then the equation can be 2.5x + 2.25 y

Algebra is the part of mathematics that helps represent problems or situations in the form of mathematical expressions.

Given:

Raspberries cost $2.50 per pound

pears cost $2.25 per pound

so, she spends

=2.5 * 3 + 2.25 *2

=7.5+4.5

=$12

If he spends x pounds of Raspberries  and y  pounds of pears.

then the equation can be

2.5x + 2.25 y

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Answer:   Choice D

Valid. The inner circle is those who protrice a hocethorn, and the outer circle is those who are dribbed.

=======================================================

Explanation:

Refer to the diagram below. It's a visual representation of what choice D is describing.

The "protrice a hocethorn" circle is denoted as "circle P" or simply "P" for short. While circle D refers to those who are dribbed.

If we throw a dart randomly at the inner circle, then we always will land in the outer circle. This is because the inner circle is completely contained within the outer circle. The inner circle is a subset of the outer circle.

If you land in circle P, then you land in circle D.

But Steve did not land in circle D (premise 2). This must mean he could not possibly have landed in circle P.

This is how we reach the conclusion that he did not protrice a hocethorn

For more information, check out the modus tollens rule. Some logic textbooks may refer to it as "denying the consequent".

----------------------------

Here's another example of modus tollens

We can think of the events "it rains" and "the grass got wet" as two dominoes. If the second domino did not fall over, then there's no way the first one did. This is because first one topples the second.

Answer:

x=80 degrees

Step-by-step explanation:

Since the angle is supplementary with the 100 degree angle, then the angles must equal 180 degrees.

[tex]180-100=80[/tex]

By comparing the  given integer we come to know that 671,287 is greater than 617,827.

An integer is a whole number (not a fractional number) that can be positive, negative, or zero. Zero is not a fraction or decimal of any number. It is neither positive nor negative.

Given:

The given integer is

671,287 and  617,827

According to given question we have

If one number is significantly greater than another number, it may be difficult to compare the numbers effectively with a number line.

The number farthest to the right is the greater number.

So,  671,287 > 617,827.

Therefore, by comparing the  given integer we come to know that 671,287 is greater than 617,827.

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Answer:

2.2 inches

Step-by-step explanation:

because the question says divided equal parts you can simply divide 11 by 5

11inches/5eaqual parts

11/5 = 2.2

Each part is 2.2 inch in length.

The unitary method is a technique for solving a problem by first finding the value of a single unit, and then finding the necessary value by multiplying the single unit value.

Given:

Total length of strip = 11 inch

Now, the strip is cuts into 5 equal parts.

So, the length of each part is

=11/5

=2.2 inch

Hence, the each part is 2.2 inch in length.

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7.14 containers ≈7 containers are required to fill gallons containers equally for 25 gallons of gas

Given that Tom has 25 gallons of gas and needs to fill it equally in 3[tex]\frac{1}{2}[/tex]  gallons containers and asked how many gallons containers are required to fill equally.

25 gallons gas are required too put in 3[tex]\frac{1}{2}[/tex] gallons containers.

As a result, Divide 25 with 3[tex]\frac{1}{2}[/tex]  to get how many containers are required to fill equality.

⇒[tex]\frac{25}{3\frac{1}{2} }[/tex]

⇒[tex]\frac{50}{7}[/tex]

⇒7.14 gallons containers ≈7 gallons containers

Therefore,7.14 gallons containers ≈7 gallons containers are required to fill gallons containers equally for 25 gallons of gas

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Answer:

(0;3), (7.5;0).

Step-by-step explanation:

if the given equtaion is y=-0.4x+3, then

1) condition 'x-intercept' means y=0, then

-0.4x+3=0; ⇒ x=7.5;

2) condition 'y-intercept' means x=0, then

y=-0.4*0+3; ⇒ y=3.

3) finally,

x-intercept is x=7.5;

y-intercept is y=3.

Answer:

3

Step-by-step explanation:

Answer: 420

Step-by-step explanation:

60 apples per day times 7 days in a week = 420

Answer: u need to send a pic of the angle

Step-by-step explanation:

Answer:

Do like this:

Step-by-step explanation:

x+9=5+2x

and

2x-x=9-5

x=4

Answer: 3.3 hours

Step-by-step explanation:

Greetings from Brasil...

We know that:

48 = 8 · 6
and 8 - 2 = 6, so

48 = 8 · 6 = 8 · (8 - 2)

then

X · (X - 2) = 48

X · (X - 2) = 8 · 6

We can conclude that

The price of one pound is $0.8.

This problem can be solved by unitary method. To understand this we must know that in this method we need to calculate the value of a unit of product and then multiply that value with the required value for which we have to calculate the value.

Given, that the weight of the apple is 5.2 pounds.

Cost of the apple is = $4.16

Therefore the cost of one pound of apple = [tex]\frac{4.16}{5.2}[/tex]

                                                                 = $0.8

So, to buy a pound of apple one must pay $0.8.

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Answer:

48,236.7

Step-by-step explanation:

40,000 + 8,000 + 200 + 30 + 6 + 7/10

7/10 can also be written .7

Answer:

7.5

Step-by-step explanation:

38 times 1.25

minus 16 times 1.25

times 2

The characteristics which is not associated a general journal is that transactions are ordered from greatest to smallest.

Given that four options which are as under:

1) Transactions are ordered from greatest to smallest,

2) It is used daily to record transactions,

3) Events are listed in chronological order,

4) The amount credited equals the amount debited.

We are required to choose the correct option which is not a characteristics of general journal.

A general journal is basically an initial record-keeping that records all the transactions except those recorded in a specialty journal like a cash journal, purchase journal, etc.

The option which is correct is option a which tells that transactions are ordered from greatest to smallest.

Hence the characteristics which is not associated a general journal is that transactions are ordered from greatest to smallest.

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Question is incomplete. It should include the following options:

1) Transactions are ordered from greatest to smallest,

2) It is used daily to record transactions,

3) Events are listed in chronological order,

4) The amount credited equals the amount debited.

Answer:

 ∠ROS = 19

Step-by-step explanation:

The angle sum theorem is applicable.

 ∠POQ + ∠QOR = ∠POR

 ∠QOR = ∠POR - ∠POQ . . . . . subtract ∠POQ

__

 ∠QOR +∠ROS = ∠QOS

 ∠ROS = ∠QOS - ∠QOR . . . . . subtract ∠QOR

 ∠ROS = ∠QOS - (∠POR - ∠POQ) . . . . . substitute for ∠QOR

 ∠ROS = ∠QOS - ∠POR + ∠POQ = 58 -61 +22

 ∠ROS = 19

Step-by-step explanation:

Pop es igual a 95 y ros es 55

Answer:

III

Step-by-step explanation:

It is expanded by an uneven scale factor.

The value of  (f(x + h) − f(x))/h is 1 - 6h - 12x.

For any function, say f(x) = x + a, the value of f(x+b) = (x + b) + a or (x + b + a)

Here, we are given that

f(x) = x−6x^2

and we need to find the value of (f(x + h) − f(x))/h

Firstly,

f(x + h) = (x+h) - 6(x+h)^2

Now, f(x + h) − f(x) = (x+h) - 6(x+h)^2 - (x−6x^2)

= (x+h) - 6(x+h)^2 - x + 6x^2

= x - x + h - 6(x^2 + h^2 + 2xh) + 6x^2

= h - 6x^2 - 6h^2 - 12xh + 6x^2

=  h - 6x^2  + 6x^2 - 6h^2 - 12xh

= h - 6h^2 - 12xh

= h( 1- 6h - 12x)

Thus, (f(x + h) − f(x))/h = [h( 1- 6h - 12x)] / h

= 1 - 6h - 12x

Therefore, the value of  (f(x + h) − f(x))/h is 1 - 6h - 12x.

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Answer:

#1 is 95220 #2 is 95160

Step-by-step explanation:

>

Answer:

Step-by-step explanation:

x=

43/2

Answer:

[tex]x=\frac{43}{2}[/tex]

Step-by-step explanation:

[tex]Rule: \left(a\right)=a\\=3x+5+x-1=90\\3x+x+5-1=90\\3x+x=4x \rightarrow 4x+5-1=90\\5-1=4 \rightarrow 4x+4=90\\(-4)~4x+4-4=90-4\\4x=86\\(\div 4)~\frac{4x}{4}=\frac{86}{4}\\x=\frac{43}{2}[/tex]