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weeeeeb [17]
2 years ago
9

Twenty toothpicks, each 6 cm long, form a figure consisting of six equilateral triangles and a rectangle as shown. What is the t

otal area of the figure? Express your answer as a decimal to the nearest hundredth.
Mathematics
1 answer:
Roman55 [17]2 years ago
7 0

The total area of the figure is 139.20 square centimeters

Areas

The area of a shape is the amount of space it occupies

<h3>Composite figure</h3>

The figure (see attachment) is a composite figure, and the total area is the sum of the areas of each shape that makes up the complete figure

The shape has 6 equilateral triangles, each of which has an area of:

A_1 = \sqrt{\frac{3s^2}{4}}

Where:

s = 6 --- the length of each toothpick

The area of the rectangle is then represented as:

A_2 =3s \times s

A_2 =3s^2

So, the total area of the figure is:

Total = 6A_1 + A_2

This gives

Total =6 \times \sqrt{\frac{3s^2}{4}} + 3s^2

Substitute 6 for s

Total =6 \times \sqrt{\frac{3(6)^2}{4}} + 3(6)^2

Total =6 \times \sqrt{27} + 108

Total =6 \times 5.20+ 108

Total =139.20

Hence, the total area of the figure is 139.20 square centimeters

Read more about areas at:

brainly.com/question/21135654

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(5,-3), (5,8). Find slope
anzhelika [568]

Answer: 0 slope, horizontal line.

Step-by-step explanation:

when using y2-y1/x2-x1, you would get 8-(-3)/5-5. This simplifies to 11/0, which means that the line would have 0 slope. A line with 0 slope is a horizontal line.

7 0
3 years ago
The product of four consecutive odd numbers(all four positive or all four negative)is 62985.find the two possible sets of four n
emmasim [6.3K]

Answer:

Step-by-step explanation:

Let X be the first number.

(X)*(X+2)*(X+4)*(X+6) = 62985

(X^2 + 6X)^2 + 8(X^2 + 6X) = 62985

X = 13, AND X= -19

A.  X = 13

(13)(15(17)(19) = 62985

B.  X = -19

(-19)(-17)(-15)(-13) = 62985

8 0
2 years ago
The table below shows the typical hours worked by employees at a company. A salaried employee makes $78,000 per year. Hourly emp
uranmaximum [27]

We will recommend option C which is Salaried pay. Salaried employees make more per week than hourly employees.

<h3>How do you find out the best salary option?</h3>

Given that, Salary per year = $78,000.

Hourly employees get paid $26 per hour, but get $39 per hour for each hour over 40 hours.

The total number of working hours from Sunday to Saturday is 47.

The payment for 47 hours of work per week will be given below.

Salary per week = 40 \times 26 + 7 \times 39

Salary per week = $1313

We know that there are 52 weeks in one year. So the salary for one year is given below.

Salary per year = 1313\times 52

Salary per year = $68276

We can see that we calculate the yearly salary with per hour rate, the amount will be lower than the salary per year $78000.

Hence we will recommend option C which is Salaried pay. Salaried employees make more per week than hourly employees.

To know more about years and weeks, follow the link given below.

brainly.com/question/1123016.

6 0
2 years ago
15 POINTS-
Doss [256]
I think it’s $3.55
I think this because if u subtract 2.45- 45% = 1.10 sooo u will have to add $1.10 to 2.25 and that will add up the 45% that Walmart is paying with the original price.
8 0
2 years ago
PLEASE HELP ME PLZ PLZ PLZ
Oksana_A [137]

Answer:

4

Step-by-step explanation:

pythagoras theorem = a* + b* = c* ( by '*' i mean squared)

2* + b* = square root twenty

4 + b* = 20

b* = 16

b = 4

4 0
3 years ago
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