All categories

3 years ago

Explain why you think it is or is not possible to give the exact length of the circumference as a decimal.

Mathematics

1 answer:

Naddik [55]3 years ago

8 0

Answer:

It is not possible.

Step-by-step explanation:

How exact is exact? Since the circumference of a circle depends on pi, you have to discuss the nature of pi. C = pi * the diameter.

You are getting to a place where the air is pretty thin when you start dealing with pi. Pi has an infinite number of digits associated with it. Not only that, but if I were to tell you what the 100th digit was, you would have a random chance of figuring out what the 99th digit was or the 101 digit should be, that's only to the hundredth digit. The circumference would go beyond what we can measure with the thousandth digit.

In addition, pi is an irrational number. That means it cannot be represented by any kind of a fraction.

You might be interested in

Find the length of the segment that joins the points (-5, 4) and (6,-3).

Helen [10]

Answer:

$\boxed {\boxed {\sf d=\sqrt{170} \ or \ d\approx 13.04}}}$

Step-by-step explanation:

We are asked to find the length of a segment or the distance between the 2 points. The formula for distance is:

$d= \sqrt{(x_2-x_1)^2+(y_2-y_1)^2$

where (x₁ y₁) and (x₂, y₂) are the points. We are given the points ( -5, 4) and (6, -3). If we match the number and the corresponding variable, it is:

x₁= -5
y₁= 4
x₂= 6
y₂ = -3

Substitute the values into the formula.

$d= \sqrt{(6--5)^2+(-3-4)^2$

Solve inside the parentheses.

6--5 (Back to back negative signs become a positive)= 6+5 =11
-3-4= -7

$d= \sqrt{(11)^2+(-7)^2$

Solve the exponents.

(11)²= 11*11= 121
(-7)²= -7*-7= 49

$d= \sqrt {(121)+(49)$

Add.

$d= \sqrt {170}$

$d=13.0384048104$

Even though it's not specified, we could round to the nearest hundredth to make the answer more concise. The 8 in the thousandth place tells us to round the 3 to a 4 in the hundredth place.

13.0384048104

$d\approx 13.04$

The length of the segment is √170 or approximately 13.04.

7 0

3 years ago

Jorge is playing a computer math game. In Round 1 he lost 3.8 points, Round 2 he lost another 6.7 points, and in Round 3 he gain

ad-work [718]

The overall change in points after three rounds is 5.3 points

8 0

3 years ago

Evaluate C= 2 A r, for r= 8. C=10, C = 16 C= 28.7 C= 16

USPshnik [31]

Answer: Second Option

$C = 16\pi$

Step-by-step explanation:

We are evaluating aarco lengths

The formula for the arc length is:

$C = 2\pi r$

We want to know what is the arc length for a radius of r = 8

Then we substitute r = 8 in the equation and solve

$C = 2 \pi * 8$

$C = 16\pi$

The correct answer is the second option

8 0

3 years ago

Read 2 more answers

A car company makes 2 types of cars: luxury and sport. Each luxury car costs the company $15,000 for parts and requires 1,600 ma

Mademuasel [1]

Answer:

luxury=15

sports cars 25

Step-by-step explanation:

Step one:

let the luxury cars be x

and the sports cars be y

the objective function is

maximize

15000x+16000y=625000------1

the constraints are

1. Man-hours

1600x+1500y=61500-----------2

Step two:

the system of equation for the situation is

15000x+16000y=625000------1

1600x+1500y=61500-----------2

let us reduce both equation

divide equation 1 be 1000

and equation 2 by 100 we have

15x+16y=625--------1 x15

16x+15y=615--------2 x16

225x+240y=9375

-256x+240y=9840

=-31x+0=-465

31x=465

x=465/31

x=15

put x=15 in 15x+16y=625 we have

15(15)+16y=625

225+16y=625

16y=625-225

16y=400

y=400/16

y=25

3 0

3 years ago

What is the rvalue of the following data, to three decimal places?

Karolina [17]

Answer:

Step-by-step explanation:

8 0

3 years ago