Name the smallest angle of ABC. The diagram is not to scale.<br> с<br> 11<br> 10<br> B

9. The ticket at right has a perimeter of 42 cm.

Liula [17]

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:

$Perimeter =2\times 11 + 4 \times L$

This gives

$2\times11 + 4 \times L = 42$

$22 + 4 \times L = 42$

Collect like terms

$4 \times L = 42-22$

$4 \times L = 20$

Divide both sides by 4

$L =5cm$

(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:

$Gold = 4 \times L$

$Gold = 4 \times 5cm$

$Gold = 20cm$

(c) The number of gold ink bottles.

$n = 200$ --- number of tickets

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

$Length = 200 \times Gold$

$Length = 200 \times 20cm$

$Length = 4000 cm$

$Length = 4000 \times 0.01m$ ---- convert to meters

$Length = 40m$

Given that:

$Bottle = 20m$ --- 1 bottle for 20 m

The number of bottles (n) is:

$n = \frac{Length}{Bottles}$

$n = \frac{40m}{20m}$

$n = 2$

Hence, 2 bottles of gold ink are enough.

Read more about perimeters at:

brainly.com/question/6465134

4 0

2 years ago

A tiling company completes two jobs. The first job has $1200 in labor expenses for 40 hours worked, while the second job has $15

daser333 [38]

Answer:

The correct option is;

1560 = 30(52) + b

Step-by-step explanation:

The cost of the first job = $1,200 in labor and expenses

The number of hours worked in the first job = 40

The second job costs $1,560 in labor and expenses

The number of hours worked in the second job = 52

If the cost of labor per hour = L and the expenses = b, we have;

$1,200 = 40×L + b......................(1)

$1,560 = 52×L + b.......................(2)

Subtracting equation (1) from (2), we have;

52×L + b - (40×L + b) = 52×L - 40×L + b - b = $1,560 - $1,200 = $360

12×L = $360

L = $360/12 = $30/hour

From equation (1), we have;

$1,200 = 40×L + X = 40×$30 + b

Therefore, the equation that can be used to calculate the y-intercept of the linear equation is either;

1200 = 40(30) + X or 1560 = 32(52) + b, which gives the correct option as 1560 = 32(52) + b

6 0

3 years ago

Horizon Building Company is constructing a new office building. They have 5,176 ceiling tiles. The office building will have nin

slavikrds [6]

Answer:575 and 1 extra tile

Step-by-step explanation:if the total tiles is 5,176 which will be used in 9 floors .We will divide the total tiles by the floors .Therefore we will get 5176 /9 =575.111

Therefore each floor will have 575 tiles

To get the remaining tiles

575*9 = 5175 which gives us a remainder of 1 tile when you subtract the total 5176 -5175 =1

5 0

3 years ago

What is 1 3/4 - 5/6r =8/3

fenix001 [56]

1 3/4 - 5/6r = 8/3

-5/6r + 7/4 = 8/3

-5/6r +7/4 - 7/4 = 8/3 -7/4
-5/6r = 11/12

(6/-5)*(-5/6r)=(6/-5)*(11/12)
=-11/10

r = -1 1/10

6 0

3 years ago

Which number is written in scientific notation

I am Lyosha [343]

A and B.
____________

5 0

3 years ago

Read 2 more answers

Name the smallest angle of ABC. The diagram is not to scale. с 11 10 B