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Klio2033 [76]
3 years ago
15

Please help me asap! please​

Mathematics
1 answer:
Slav-nsk [51]3 years ago
3 0

Answer:

65 degree

35 degree

90 degree

115 degree

80 degree

Step-by-step explanation:

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Twenty toothpicks, each 6 cm long, form a figure consisting of six equilateral triangles and a rectangle as shown. What is the t
Roman55 [17]

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

7 0
2 years ago
The path from the whales to the sharks is parallel to the path from the penguins to the stingrays. What is the distance between
gulaghasi [49]

The distance between the penguins and the stingrays which is parallel to the path from the whales to the sharks is 28 ft.

<h3>What is proportional segment between parallel lines?</h3>

In two triangle in which the one side of the first triangle is parallel to the one side of the other triangle, two similar triangle formed.

Due to this similar triangle the segment formed by the parallel line are proportional segment.

The path from the whales to the sharks is parallel to the path from the penguins to the stingrays.

The map of the zoo is attached below.

The distance from whale to shark is 18 ft, and this side is parallel to the path from the penguins to the stingrays. Suppose the distance between the penguins and the stingrays is x meters.

Thus, in the given triangle, the ratio of these two sides will be equal to the ratio of their corresponding sides. Hence,

\dfrac{x}{18}=\dfrac{42}{27}\\x=\dfrac{42}{27}\times18\\x=28\rm\; ft

Thus, the distance between the penguins and the stingrays which is parallel to the path from the whales to the sharks is 28 ft.

Learn more about the similar triangle here;

brainly.com/question/14285697

7 0
2 years ago
What is the possible value of x?
zvonat [6]

Answer:

Step-by-step explanation:

3^2+x^2=6^2

9+x=36

36-9=27

sqrt 27

x=5.2

5 0
3 years ago
Use the rules for multiplication by powers of 10 to calculate 3 times 100
Georgia [21]
3 * 100 = 300 because it is only asking you to claculate 3*100
3 0
3 years ago
Alfred has strawberries and tomatoes in his garden. He picked 314kg of strawberries in the morning. In the afternoon he picked 1
meriva

Answer:

439kg of strawberries in the afternoon

Step-by-step explanation:

This is simply 314+125

4 0
3 years ago
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