Ask question

Ask question

All categories

3 years ago

8

Explain how you could use the information that all circles are similar to show that the value of pi is a constant.

1 answer:

zhenek [66]3 years ago

7 0

Answer:

The proof that πk(C1)=πk(C2) of course would just apply the similarity of polygons and the behavior of length and area for changes of scale. This argument does not assume a limit-based theory of length and area, because the theory of length and area for polygons in Euclidean geometry only requires dissections and rigid motions ("cut-and-paste equivalence" or equidecomposability). Any polygonal arc or region can be standardized to an interval or square by a finite number of (area and length preserving) cut-and-paste dissections. Numerical calculations involving the πk, such as ratios of particular lengths or areas, can be understood either as applying to equidecomposability classes of polygons, or the standardizations. In both interpretations, due to the similitude, the results will be the same for C1 and C2.

You might be interested in

Find the compound interest when principal =2000 rate =20%per annum and time 3 years

lbvjy [14]

<h2>Question:-</h2>

Find the compound interest when
principal =2000
rate =20%per annum
and time 3 years.

<h2>To find:-</h2>

Compound interest

<h2>Given:-</h2>

Principal = Rs.2,000
Rate = 20%
Time = 3 years.

<h2>Solution:-</h2>

⇒ $A = P (1 + \dfrac{R}{100} )^{n}$

= $2000 (1 + \dfrac{20}{100})^{3}$

= $2000 ( 1 + \dfrac{1}{5} )^{3}$

= $2000 (\dfrac{6}{5}) ^{3}$

= $2000 \times\dfrac{6}{5} \times \dfrac{6}{5} \times \dfrac{6}{5}$

= 16 × 6 × 6 × 6

⇒A = Rs.3456

⇒CI = A - P

⇒CI = 3456 - 2000

⇒CI = Rs.1456

Answer:-

·Compound interest is Rs.1456.

3 0

3 years ago

laurens suv was detected exceeding the posted speed limit of 60 kilometers per hour , how many kilometers would she have been tr

Vlada [557]

Answer:

60 kilometers per hour (kmph) over the limit

Step-by-step explanation:

The speed limit is 60 kmph

Let's find his original rate:

We know D = RT

Where

D is the distance, in km

R is the rate, in kmph

T is the time in hours

He went 10 km in 5 minutes, so we need the time in hours, first. That would be:

5/60 = 1/12 hour

So, putting into formula, we find rate:

D = RT

10 = R(1/12)

R = 10/(1/12)

R = 10 * 12

R = 120 kmph

He was going over by:

120 - 60 = 60 kmph

6 0

3 years ago

Bruce is solving a system of equations.

Valentin [98]

Answer:

Option 3,4,5 are correct.

Step-by-step explanation:

The system of equations are:

$3x+5y=9\,\,\,\,(1)\\x-y=-5\,\,\,\,(2)$

Multiply equation (2) with -3 and add with equation (1)

$3x+5y=9\\-3x+3y=15\\-------\\8y=24\\y= 24/8\\y=3$

Value of y is 3

Putting value of y in eq(2)

$x-y=-5\\x-3=-5\\x=-5+3\\x=-2$

Value of x is -2

So, Option 3,4,5 are correct.

Keywords: System of Equations

Learn more about System of Equations at:

#learnwithBrainly

7 0

3 years ago

Help I need help on this question

nevsk [136]

Answer:

1/3 is the y intercept

Step-by-step explanation:

f(x) = -2/9x + 1/3

This is written in slope intercept form

y = mx+b where m is the slope and b is the y intercept

-2/9 is the slope and 1/3 is the y intercept

6 0

3 years ago

Read 2 more answers

Combine the like terms to create an equivalent expression <br> 4z- (-3z)

NNADVOKAT [17]

Answer:

7z

Step-by-step explanation:

subtracting a negative is like adding

$4z - (-3z)\\4z+3z\\7z$

4 0

4 years ago