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Julli [10]
3 years ago
13

There is a constant ratio between corresponding sides of similar figures. Since circles don't have sides, what ratio(s) could yo

u use to prove that all circles are similar?
Mathematics
2 answers:
inessss [21]3 years ago
7 0
A circle's size and shape is fully defined by its radius. Given two circles with radii r and r', the diameters are d=2r and d'=2r' and they are in the ratio 

<span>d'/d = (2r')/(2r) = r'/r. </span>

<span>The diameter ratio is the same as the radius ratio. Similarly, the circumferences c=πd and c' = πd' are in the ratio </span>

<span>c'/c = (πd')/(πd) = d'/d = r'/r </span>

<span>The circumference ratio is the same as the diameter ratio and the radius ratio. All of the key linear dimensions are in the same proportion. </span>

<span>You might point out that the same thing happens with a square, where the size and shape are also completely determined by a single measurement, the length s of a side, with the diagonal and perimeter (corresponding to diameter and circumference) being d = √2 s and p = 4s. </span>

<span>Maybe you can lead at least some of the students to generalize to other regular polygons. Some of them (like the equilateral triangle and regular hexagon) can be demonstrated like the square and circle above with formulas from geometry. The general case needs trig ratios to state the formulas relating side length to the radius and apothem of the polygon.</span>
hodyreva [135]3 years ago
5 0

Answer:

The ratio of circumference to diameter in all circles is a constant value, pi. Also, the ratio of the diameters and the ratio of the circumferences of any two circles reduces to the ratio of their radii.

Step-by-step explanation:

just answered question, answer above is what it said to be a possible answer

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Which set of ordered pairs represents a function?
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Answer:

b

Step-by-step explanation:

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3 years ago
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What is the average rate of change for this function for the interval from x=3 to x=5?
SSSSS [86.1K]

Answer:

A. 49

Step-by-step explanation:

The average rate of change for the interval ranging from x = 3 to x = 5 for the given function represented in the table above can be calculated using:

Average rate of change = \frac{f(x2) - f(x1)}{x2 - x1}

x2 = 5

x1 = 3

f(x2) = f(5) = 125

f(x1) = f(3) = 27

Thus,

Average rate of change = \frac{125 - 27}{5 - 3}

= \frac{98}{2}

Average rate of change = 49

Average rate of change of the given table values representing an exponential function is A. 49.

4 0
3 years ago
Pepper jack he decides the map of three times larger what is the scale of The new map
Elan Coil [88]

Answer:Solution:

Let starting map of youth center has Dimension (Preimage)

1 unit of y= k units

1 unit of x = t units

The new map of youth center which is 3 times larger than original(Image)

1 unit of y= 3 k units

1 unit of x = 3 t units

Image = 3 × Pre- image

The image is larger than Pre- image.

So, Scale of the new map = 3 × The original dimension of map.

Step-by-step explanation:

6 0
3 years ago
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What is the answer for this question?
Len [333]
The correct answer is D
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Challenge
Katen [24]

Answer:

a). Distance from the surface of miner elevator=532 feet, Distance from the surface of equipment elevator=60 feet

b). The miner elevator is deeper since it is 472 feet deeper than the equipment elevator

Step-by-step explanation:

Equipment elevator speed=4 feet per second

Miner elevator=14 feet per second

Total time of miner elevator=(23+15)=38 seconds

Total time of equipment elevator=15 seconds

a). Distance from the surface of each elevator

Distance from the surface of miner elevator=Miner Speed×Miner Time

Distance=(14×38)=532 feet

Distance from the surface of equipment elevator=Equipment Speed×Equipment Time

Distance=(15×4)=60 feet

b). Which elevator is deeper

Distance from the surface of miner elevator=532 feet

Distance from the surface of equipment elevator= 60 feet

Difference=(532-60)=472 feet

The miner elevator is deeper since it is 472 feet deeper than the equipment elevator

5 0
3 years ago
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