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Lady_Fox [76]
3 years ago
8

a polygon has an area of 225 square meters. A similar polygon is created with an area that is triple the first. By what factor i

s the length of each side increased?
Mathematics
1 answer:
GuDViN [60]3 years ago
6 0
The area of the original polygon is:
 A = 225 m ^ 2
 The similar polygon area is:
 A '= (k ^ 2) * (A)
 Substituting values:
 3 * 225 = (k ^ 2) * (225)
 Clearing k we have:
 k ^ 2 = 3
 k = (3) ^ (1/3)
 Answer:
 
The length of each side increased by:
 
k = (3) ^ (1/3)
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A high rise apartment building has 15 floors with 26 apartments on each floor.There are 3 kinds of apartments in the building: 1
konstantin123 [22]

Answer:

The number of each kind of apartment in the building is 130  .

Step-by-step explanation:

Given as :

The total number of floor in a building = 15

The number of apartment on each floor = 26

So, The total number of apartment = 26 × 15 = 390

The number of kinds of apartment in the building is 3 ,  i.e 1-bedroom ,               2-bedroom , 3-bedroom

Let The number of each kind of apartment in building = x

So, According to question

The number of each kind of building = \dfrac{\textrm Total number of apartment }{number of kinds of apartment}

or, x = \frac{390}{3}

∴   x = 130

Hence The number of each kind of apartment in the building is 130  . Answer

3 0
3 years ago
The step by step and final answer
Mumz [18]
32. (a) For an even function, f(x) = f(-x). Given f(5) = 3, we know f(-5) = 3.
Therefore (-5, 3) is also on the graph.

For an odd function, f(-x) = -f(x). Given f(5) = 3, we know f(-5) = -3.
Therefore (-5, -3) is also on the graph.

33. f(-x) = -f(x). The function is odd.
34. f(-x) = x/(x-1) ≠ -f(x) ≠ f(x). The function is neither even nor odd.
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4 0
3 years ago
Item 3
Soloha48 [4]

Answer: 203

Step-by-step explanation:

to find the area, you have to multiply the length of the sides together. 29x7 = 203

5 0
3 years ago
As shown, a section of a roller coaster track (figure 3) follows the form of y=(2/3)x1.5. locate the centroid x? of the track be
LiRa [457]
F(x)=(2/3)x^1.5

The centroid position along the x-axis can be obtained by 
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then divide by the area of the graph,
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Expressed mathematically,
x_bar=(∫f(x)*x dx )/(∫ f(x) dx  limits are between x=0 and x=3.5m
=15.278 m^3 / 6.1113 m^2
=2.500 m
3 0
3 years ago
find each unit rate round to the nearest hundredth if necessary on a hundred and $140 for 18 ft squared
Marina86 [1]
Divide both by 18. 
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<span>So... $7.78 per foot</span>
4 0
3 years ago
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