Find the area of the shape:

Perimeter simply represents the sum of all side lengths of a shape. The length of the missing side of the ticket is 5 cm; the length of gold line on each ticket is 20 cm, and 2 bottles of gold ink are required to draw gold lines on 200 tickets.

I've added the image of the ticket as an attachment.

(a) The missing side length

From the attachment, the 4 unknown side lengths are equal. Represent this side length with L.

So, we have:

[tex]Perimeter =2\times 11 + 4 \times L[/tex]

This gives

[tex]2\times11 + 4 \times L = 42[/tex]

[tex]22 + 4 \times L = 42[/tex]

Collect like terms

[tex]4 \times L = 42-22[/tex]

[tex]4 \times L = 20[/tex]

Divide both sides by 4

[tex]L =5cm[/tex]

(b) The length of the gold lines

There are 4 slant lines and the length of one of the slant lines is 5 cm (as calculated above).

So, the length of the gold line is:

[tex]Gold = 4 \times L[/tex]

[tex]Gold = 4 \times 5cm[/tex]

[tex]Gold = 20cm[/tex]

(c) The number of gold ink bottles.

[tex]n = 200[/tex] --- number of tickets

The length of all gold line in the 200 tickets is:

[tex]Length = 200 \times Gold[/tex]

[tex]Length = 200 \times 20cm[/tex]

[tex]Length = 4000 cm[/tex]

[tex]Length = 4000 \times 0.01m[/tex] ---- convert to meters

[tex]Length = 40m[/tex]

Given that:

[tex]Bottle = 20m[/tex] --- 1 bottle for 20 m

The number of bottles (n) is:

[tex]n = \frac{Length}{Bottles}[/tex]

[tex]n = \frac{40m}{20m}[/tex]

[tex]n = 2[/tex]

Hence, 2 bottles of gold ink are enough.

Read more about perimeters at:

https://brainly.com/question/6465134

Answer:

17 and 19

Step-by-step explanation:

Let n denote the first odd integer.

If the two integers are consecutive and odd, then the second number is n+2.

Hence, n+n+2=36

=2n=34

Divide both sides by 2

=n=17

Therefore, the numbers are 17 and 19.

Answer:

[tex]3g + 9g = - 48 \\ 12g = - 48 \\ g = - \frac{48}{12} \\ g = - 4 \\ \\ - 4m - 6m - 30 = - 80 \\ - 4m - 6m = - 80 + 30 \\ - 10m = - 110 \\ m = \frac{ - 110}{ - 10} \\ m = 11 \\ \\ 12 = - 8n - 24 - 4n \\ 12 + 24 = - 8n - 4n \\ 36 = - 12n \\ n = \frac{36}{ - 12} \\ n = - 3 \\ \\ 5y + 2y + \frac{1}{2} = - \frac{1}{2 } \\ 5y + 2y = - \frac{1}{2} - \frac{1}{2} \\ 7y = - 1 \\ y = - \frac{1}{7} \\ \\ 22x + 0.25 - 16x = 0.85 \\ 22x - 16x = 0.85 - 0.25 \\ 6x = 0.6 \\ x = \frac{0.6}{6} \\ x = 0.1 \\ \\ 17k + 6k + 11 = 80 \\ 17k + 6k = 80 - 11 \\ 23k = 69 \\ k = 3[/tex]

Answer:

4) x -2,-3 hope it helps to you

minus/negative ten dollars.

.eygywhwusjsi

Answer:

100/360

Step-by-step explanation:

A circle is 360 degrees

100/360

10/36

5/18

Answer: $10.20

Step-by-step explanation:

convert the percentage to a decimal: 0.15

multiply the decimal 0.15 by the original price, $12, to find the amount that it will be discounted by: $1.80

subtract the discount from the original price: $10.20

Answer:

$9

Step-by-step explanation:

reduced price=15%*$12

= 15/100*$12

= $3

Sale price=original price - reduced Price

=$12-$3

=$9

Answer:

x=50

Step-by-step explanation:

The Intersecting Secant-Tangent Theorem states that if a secant and tangent line intersect outside of a circle, then

(length of the tangent line)² = (length of secant line from outside the circle to touching it) * (part of secant that is a chord). In this example, we can say that

30² = 18 * x

900 = 18 * x

divide both sides by 18 to isolate x

x=50

Answer:

8

Step-by-step explanation:

more details

2(10)-3(4)

20-12

8

Answer:

17) 120°

18) 85°

Step-by-step explanation:

→ Find the sum of angles in each shape

Quadrilateral = 360°

Triangle = 180°

→ Add the angles together and subtract it from the sum

360 - ( 80 + 80 + 80 ) = 120° for number 17

180 - ( 35 + 60 ) = 85° for number 18

Answer:

ım not speak english because i'm turkish sorry

The scale factor of the dilation is 0.78

The centre of dilation is located at (0,0)

The scale factor of a dilation is the ratio of the corresponding component of the final image to the original image.

According to the image given, the scale factor will be the ratio of the radius of the final image to the original image as shown below:

[tex]Scale \ factor = \frac{small \ radius}{large \ radius} \\Scale \ factor = \frac{7}{9}\\ Scale \ factor=0.78[/tex]

Hence the scale factor of the dilation is 0.78

The centre of dilation is located at the origin because the radius is the distance between the centre of the circle and its circumference. We can therefore conclude that the centre of dilation is located at (0,0)

The scale factor of the dilation is [tex]\frac{7}{9}[/tex].

The center of dilation is a point to the right of both circles.

From Analytical Geometry we know that every Circle is defined by its Radius, its form is directly proportional to its radius. Hence, the Scale Factor of the Dilation ([tex]f[/tex]) is the following ratio:

[tex]f = \frac{r_{2}}{r_{1}}[/tex] (1)

Where:

[tex]r_{1}[/tex] - Radius of the original circle.

[tex]r_{2}[/tex] - Radius of the dilated circle.

If we know that [tex]r_{1} = 9[/tex] and [tex]r_{2} = 7[/tex], then the scale factor of the dilation is:

[tex]f = \frac{7}{9}[/tex].

The scale factor of the dilation is [tex]\frac{7}{9}[/tex].

There is a geometrical approach to determine the location of the Center of Dilation. We draw two lines tangent (blue lines) to both circles and we extend to the right of the scene, the point in which both intersects each other is the location of the center of dilation. (representation is included in the image attached below)

In a nutshell, the center of dilation is a point to the right of both circles.

Answer:

y = -10

Step-by-step explanation:

When x = 17, the equation be -17 + y = -27 when you plug in 17 for x

Then, add 17 to both sides to get y = -10

Answer:  " y =  -10 . "

___________________

Step-by-step explanation:

___________________

The question:

Find the  value of  "y" when "x" equals 17.

Given the equation:

 - x + y = -27 ;

___________________

We plug in the given value: "17" ; for "x" ; and solve for "y" :

- 17 + y = -27 ;

_____________________

↔ y + (-17) = -27 ;

Rewrite as:

   y − 17  = -27 ;   {since:  "adding a negative value" is the same

                                           as "subtracting a positive value."}.

_____________________

Now, we add "17" to each side of the equation;

to isolate "y" on one side of the equation; and to solve for "y" :

  y − 17 + 17  = -27 + 17 ;

to get:

  y  =  - 10 .

_____________________

Hope this is helpful to you.

Best wishes to you in your academic pursuits—

    and within the "Brainly" community!

_____________________

Since the angle of the arc is 90°, we'll plug that in for theta. We're finding the length of the arc, so we'll use the circumference formula.

The monthly income is $844.

Given:

To find: The monthly income

The monthly income refers to the amount of money left over each month after paying all expenses.

Evaluating, we have,

The total monthly expense = $([tex]725 + 125 + 120 + 35 + 48 + 78 + 600 + 225[/tex])

That is, the total monthly expense is $1956.

It is given that weekly earning after taxes is $700. Since a month contains 4 weeks, we can say that monthly earning after taxes is $([tex]700 \times 4[/tex]), that is, $2800.

Then, monthly income is given by the difference between the monthly earnings and the monthly expenses. So, monthly income is $([tex]2800-1956[/tex]), that is, $844.

The monthly income is $844.

Learn more about income and expenses here:

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Answer:

a. 499

Step-by-step explanation:

a. factors of 1000 are 1,2,4,5,8,10,20,25,40,50,100,125,200,250,500.

the largest one is 500 and the smallest one is 1. So 500 - 1 = 499.

Answer:

(3)(x + 4)(x-2)

Step-by-step explanation:

3x^2 + 6x – 24

3(x^2 + 2x - 8)

(3)(x + 4)(x-2)

Answer:

3(x - 2)(x + 4).

Step-by-step explanation:

3x^2 + 6x – 24

= 3(x^2 + 2x - 8)

= 3(x - 2)(x + 4).

Answer:

Answer:

The answer is B.

I think I answered the wrong answer.

Answer: 3

Step-by-step explanation:

When you subtract 25 from 22 you get 3 and when you subtract 3 from 25 you 22.

Answer:

see below

Step-by-step explanation:

0/7 = 0

We can divide 0 by a non zero number

5/0 = undefined

We cannot divide by 0

Answer:

The number has to be less than 3.

Step-by-step explanation:

Some examples:

3 - (-5) = 3 + 5 = 8, a positive difference

3 - 0 = 3, a positive difference

3 - 1 = 2, a positive difference

3 - 3 = 0, NOT a positive difference. 3 is where the difference switches from positive to negative.

3 - 4 = -1, NOT a positive difference.

Answer:

a = zm

Step-by-step explanation:

z = a/m for a

Multiply all sides by m

zm = a or a = zm

Example:

2 = 6/3

in this case, z = 2, a = 6, and m = 3

We would multiply z(2) and m(3) to get a(6)

If my answer is incorrect, pls correct me!

If you like my answer and explanation, mark me as brainliest!

-Chetan K

Answer:

4

Step-by-step explanation:

10=z+6

or, z+6=10

or, z=10-6

or,z=4

May this help you

Answer:

x(x+11)

Step-by-step explanation:

x^2+11x

Factor out x

x*x+11x

x(x+11)

Answer:

y = -x+2

Step-by-step explanation:

The y intercept is 2

The slope is found by using 2 point

I picked (0,2) and (2,0)

m = ( y2-y1)/(x2-x1)

   = ( 0-2)/(2-0)

    = -2/2 = -1

Slope intercept form is

y = mx+b where m is the slope and b is the y intercept

y = -1x+2

y = -x+2

Answer:46

Step-by-step explanation:

Answer:

D

Step-by-step explanation:

Output = 3*input - 2. Observe the graph again