1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
Sergeu [11.5K]
3 years ago
9

The formula for the circumference of a circle is c=pi d, where d is the length of the diameter. If d is a rational number, what

can you conclude about the circumference?
Mathematics
1 answer:
tensa zangetsu [6.8K]3 years ago
7 0

Answer:

The circumference is an irrational number.

Step-by-step explanation:

\pi is an irrational number, multiplying \pi by a rational number different from 0 will give as a result an irrational number. This is because if that is not the case, then there would exist rational numbers <em>a</em> and <em>b</em>, with <em>a</em> different from 0, such that  \pi *a = b, then \pi = \frac{b}{a} .

Since the quotient of two rational numbers is a rational number, if b and a were rational, then \pi should also be rational, which is not the case.

We conclude that, since the diameter is positive and rational, that the circumference cant be rational, therefore it is irrational.

You might be interested in
What adds to negative 23 and multiples to negative 50
jolli1 [7]

-25 + 2 = -23  and...   -25 × 2 = - 50

hope that helps :D

8 0
3 years ago
A population of 100 frogs increases at an annual rate of 22%. How many frogs will there be in 5 years? Write an expression to re
gizmo_the_mogwai [7]
Exponential growth of the form:

F=Ar^t

F=100(1.22)^t

F(5)=100(1.22)^5

F(5)=270.27

F(5)=270 to the nearest frog...

....

1.22=r^12

r=1.22^(1/12)

F=100(1.22^(1/12)^t)

F=100(1.22^(t/12))  now it will produce monthly populations...

Say we did the same as before but instead of 5 years you have 60 months...

F(60)=100(1.22^(60/12))

F(60)=270 to the nearest frog... :P 
6 0
4 years ago
Show all you're work!! Point's and will mark brainliest
Musya8 [376]

Answer:

d = 7.2

Step-by-step explanation:

Step 1: Write out equation

d/1.2 = 6

Step 2: Multiply both sides by 1.2

d = 7.2

4 0
3 years ago
6y+4−3y−7=3(y−1) How many solutions are for this?
Kryger [21]

Answer:

Infinite amount of solutions.

General Formulas and Concepts:

  • Order of Operations: BPEMDAS
  • Regular + Equality Properties

Step-by-step explanation:

<u>Step 1: Define equation</u>

6y + 4 - 3y - 7 = 3(y - 1)

<u>Step 2: Solve for </u><em><u>y</u></em>

  1. Combine like terms:                         3y - 3 = 3(y - 1)
  2. Distribute 3:                                       3y - 3 = 3y - 3
  3. Subtract 3y on both sides:               -3 = -3

Here we see that there will be infinite amount of solutions. We can plug in any number <em>y</em> and it will render the equation true.

8 0
3 years ago
Read 2 more answers
Make a factor tree for 24
Flura [38]
24 = 2 x 12, 24 = 8 x 3, 24 = 6 x 4, draw factor trees that all show 24 = 2 x 2 x 2 x 3 at the end.

Pls give me a brainliest if this helped thx
3 0
3 years ago
Read 2 more answers
Other questions:
  • I need help with these .help me plz
    7·1 answer
  • Need help please provide steps
    7·2 answers
  • given the parallelogram ABCD, solve for X when angle A equals (30+ 5x)° and angle D equals (15+10x)° degrees. Also, sides AB and
    5·2 answers
  • Carlos reads a book for language arts class.He finished the book on Friday.On Monday he read 27 pages.On Tuesday he read 31 page
    5·2 answers
  • Determine the remainder when (x3 – 5x2 14x – 5) is divided by (x 3)
    6·2 answers
  • Solve for w. -3( -7w+4) - 7w=2(w-3)-3
    12·1 answer
  • 3x translate when the function is changed to f(x) =
    7·1 answer
  • The line L passes through the points (0,7) and (3,19). Work out the equation of the line L.
    8·1 answer
  • If y is proportional to the sqaure root of x and y equal x when x equal 5,evaluate y when x eqaul 9.​
    5·1 answer
  • Simplify: 11y-110/50-5y
    6·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!