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Agata [3.3K]
3 years ago
15

The ratio of the areas of two similar polygons is 400:25. what is the ratio of their corresponding sides

Mathematics
2 answers:
Bogdan [553]3 years ago
3 0
The ratio of areas is given by:
 A1 / A2 = 400/25 = k ^ 2
 Therefore, the relationship of the sides is given by:
 L1 / L2 = k
 Clearing k we have:
 k = root (400/25)
 Rewriting we have:
 L1 / L2 = k = 20/5
 Answer:
 
The ratio of their corresponding sides is:
 
20: 5
Tasya [4]3 years ago
3 0

Answer: 16:1

simplify 400:25 by dividing 400 by 25, which is 16.

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const2013 [10]

Part 1

<h3>Answer:   13</h3>

---------------------

Explanation:

We'll replace every copy of x with -3. Then use PEMDAS to simplify.

f(x) = -2x+7

f(-3) = -2(-3)+7

f(-3) = 6+7

f(-3) = 13

===========================================================

Part 2

<h3>Answer:  -11</h3>

---------------------

Explanation:

We work backwards in a sense compared to what part 1 did. Instead of finding f(x) based on x, we determine what x must be for a given f(x).

We'll replace f(x) with 29 and solve for x like so

f(x) = -2x+7

29 = -2x+7

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-2x = 22

x = 22/(-2)

x = -11

Note how if you replaced x with -11, we'd get,

f(x) = -2x+7

f(-11) = -2(-11)+7

f(-11) = 22+7

f(-11) = 29

which helps confirm we have the correct answer.

8 0
3 years ago
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