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erma4kov [3.2K]
2 years ago
11

Proving That All Circles Are Similar give: cicrcle x with radius r and circile y with radius s prove: circle x is similar to cir

cle y
Mathematics
1 answer:
sergij07 [2.7K]2 years ago
4 0

Answer:

Two shapes are similar when they have the same shape while their sizes may be the same or different

Therefore, two similar shapes are shapes that have a relationship such that the dimensions of one of the shapes can be obtained from the dimensions of the other shape by multiplying by a scale factor

All circles have the same shape and are defined by their center and radius

Given circle with center at 'x' and radius 'r' and circle with center 'y' and radius 's', then there exist a scale factor a = s/r such that we have;

r × a = s

Where a = s/r, we get;

r × s/r = s

We can therefore, obtain a circle with with the same size as the circle with center 'y' and radius 's' by multiplying the radius of the circle with center at 'x' and radius 'r' by a

Therefore the circle with center at 'x' and radius 'r' is similar to the circle with center 'y' and radius 's'

Step-by-step explanation:

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Story Problem
Agata [3.3K]

Answer:

41.15

Step-by-step explanation:

41.15

7 0
3 years ago
Write a function describing the relationship of the given variables.
zhuklara [117]

Answer:

The function is A = 10√r

Step-by-step explanation:

* Lets explain the meaning of direct variation

- The direct variation is a mathematical relationship between two

  variables that can be expressed by an equation in which one

  variable is equal to a constant times the other

- If Y is in direct variation with x (y ∝ x), then y = kx, where k is the

 constant of variation

* Now lets solve the problem

# A is varies directly with the square root of r

- Change the statement above to a mathematical relation

∴ A ∝ √r

- Chang the relation to a function by using a constant k

∴ A = k√r

- To find the value of the constant of variation k substitute A and r

 by the given values

∵ r = 16 when A = 40

∵ A = k√r

∴ 40 = k√16 ⇒ simplify the square root

∴ 40 = 4k ⇒ divide both sides by 4 to find the value of k

∴ 10 = k

- The value of the constant of variation is 10

∴ The function describing the relationship of A and r is A = 10√r

8 0
2 years ago
Read 2 more answers
As the music plays,the volume changes In the beginning of the piece can be modeled by the equation s=10Ix-4I+50 where s represen
Ipatiy [6.2K]

Answer:

-127

Step-by-step explanation:

s = 101x-41+50

80 = 101x - 4+ 50

-101x

-181 = x - 4 +50

-181 = x -54

+ 54

-127 = x

I hope this helps

8 0
2 years ago
Need help to solve question
jeka57 [31]

Answer:

I think its A...

Step-by-step explanation:

4 0
3 years ago
Which of the following explains why f(x) = log2x
Radda [10]

Answer:

  • There is no power of 2 that is equal to 0.
  • Its inverse does not have any x-intercepts.

Step-by-step explanation:

Given the function

\:\:f\left(x\right)=\log \:_2\left(x\right)

This function can be written as:

y=\log _2\left(x\right)

As the rule tells s that

\:y=log_ax\Rightarrow \:a^y=x

so

x=2^y\:\:

As we know that the value of x=0 at y-intercept.

0=2^y\:\:

For any value of y, this statement is false as there is no power of 2 that is equal to 0.

Also

Lets interchange x and y in the equation x=2^y\:\:  to find the inverse of the function.

y=2^x\:\:

So, it doesn't have any x-intercepts as for any value of x, the value of y can not be zero for this function.

Therefore, Its inverse does not have any x-intercepts.

3 0
2 years ago
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