All categories

2 years ago

Which number is the best approximation for π/3 : 1, 1.03, 1.05, or 1.07?

Mathematics

2 answers:

Evgen [1.6K]2 years ago

7 0

Answer:

1,05

Step-by-step explanation:

Karolina [17]2 years ago

3 0

9514 1404 393

Answer:

1.05

Step-by-step explanation:

The relative errors are ...

1 : -4.5%
1.03 : -1.6%
1.05 : +0.3%
1.07 : +2.2%

Of these choices, the best approximation is 1.05.

_____

A very good rational approximation of π is 355/113, which has a relative error of about 0.0000085%. This makes 355/339 a good approximation of π/3.

The relative error in the value n is ...

(3n/π -1) × 100%

You might be interested in

How to solve 6x^2+5x-4=0

Vesna [10]

$6x^2+5x-4=0\\\\6x^2+8x-3x-4\\\\2x(3x+4)-1(3x+4)=0\\\\(3x+4)(2x-1)=0\iff3x+4=0\ or\ 2x-1=0\\\\3x=-4\ or\ 2x=1\\\\\boxed{x=-\frac{4}{3}\ or\ x=\frac{1}{2}}$

6 0

3 years ago

you deposit $2,000 in an account that earns simple interest. after 6 months the account earns $210 in interest. what is the annu

Luden [163]

Answer:

21%

Step-by-step explanation:

210 is 10.5% of the amount that is for 6 months doubling it will make it 420 that is 21% of the total amount of 2000.

8 0

2 years ago

Whats 8 5/7 plus 5 13/14 ASAP

lozanna [386]

14.6428 in decimal , in fraction 14 16/25

7 0

2 years ago

Work the following problem

neonofarm [45]

Answer:

Option B is the correct answer.

Step-by-step explanation:

Given

List Price=$720

The percentage of discount=13%

In order to find the amount of discount, 13% of the amount has to be calculated. To calculate 13% , the amount is multiplied by 13/100.

Amount of discount=13% of list price

=720*13/100

=720*0.13

=$93.60

The amount of discount is $93.6..

5 0

3 years ago

Which expression is equivalent to3 (1 + x)+7

ivann1987 [24]

Expressions equivalent to 3(1+x)+7 is x+10

6 0

3 years ago

Which number is the best approximation for π/3 : 1, 1.03, 1.05, or 1.07?​

Which number is the best approximation for π/3 : 1, 1.03, 1.05, or 1.07?