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Verizon [17]
2 years ago
9

Two trapeziums are similar, thee area of one of the trapezium is 4times that of the other. Determine the ratio of the perimeter

& the corresponding side length of the trapezium​
Mathematics
1 answer:
Stolb23 [73]2 years ago
3 0

Answer:

The ratio of the perimeters of the two trapezium is 2

The ratio of the corresponding sides of the two trapezium is 2

Step-by-step explanation:

The given parameters in the question are;

Two trapeziums are similar

The area of one trapezium = 4 × The area of the other trapezium

Let, A₁, and A₂ represent the area of the two trapeziums, we have

A₁ = 4 × A₂

∴ A₁/A₂ = 4

Given that ratio of areas = (Ratio of sides)²

Ratio of sides = Ratio of perimeter

∴ Ratio of areas = (Ratio of perimeter)²

Therefore, given that the ratio of the areas of the two trapeziums A₁/A₂ = 4, we have;

Ratio of areas = 4 = (Ratio of sides)²

The ratio of the corresponding sides = √4 = 2

The ratio of the corresponding sides = 2

Ratio of areas = 4 = (Ratio of perimeter)²

The ratio of the perimeter = √4 = 2

The ratio of the perimeter = 2

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Dvinal [7]

If you convert 840,000 to scientific notation; you would take 840,000 and divide it by 10^5 (ten to the fifth power) which is 100,000 and that would leave you with 8.4 divided by 10^5. Remember scientific notation must be expressed as a number 1 through 9 but less than 10.

7 0
1 year ago
Need help with this. Hope someone can help
ratelena [41]

First, convert all of the cm measurements to m measurements (so they are all the same unit measurement)

2000 cm = 20 m         800 cm = 8m    

<u>Total Perimeter </u>(Note that circumference of a semi-circle is 2 π r/2 = π r)

Add up the lengths of all of the outside edges. I am going to start on the top and move counter-clockwise:

40 + π (10) + 8 + 25 + 8 + (40 - 25 - 10) + 8 + 10 + 8 + π(10)

= 40 + 10π + 41 + (5) + 26 + 10π

= 112 + 20π

= 112 + 62.8

= 174.8

Answer: 174.8 m

<u>Total Area</u>

Split the picture into 5 sections (2 semi-circles, top rectangle, bottom left rectangle, and bottom right rectangle).  Find the area for each of those sections and then add their areas together to find the total area.

2 semi-circles is 1 Circle: A = π · r²  ⇒ A = π(20/2)² =  π(10)²  = 100π  ≈  314

top rectangle: A = L x w  ⇒  A = 40 x 20  = 800

bottom left rectangle: A = L x w  ⇒  A = 25 x 8  = 200

bottom right rectangle: A = L x w  ⇒  A = 10 x 8  = 80

Total = 314 + 800 + 200 + 80  = 1394

Answer: 1394 m²


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3 years ago
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No, line graphs are used only to show change over time
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---

hope it helps

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2 years ago
1/8 multiplied by 4 2/3
Anna35 [415]
First you Change the mixed number to an improper fraction (14/3) then you simplify (1/4 X 7/3) and then you multiply 1/4 X 7/3 = 7/12 :)
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3 years ago
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