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
r-ruslan [8.4K]
3 years ago
11

Which is an equivalent equation solved for r?

Mathematics
2 answers:
Anna [14]3 years ago
8 0

Answer:

r= C over 2π

Step-by-step explanation:

C =  2πr

To solve for r, divide each side by  2π

C/  2π =  2πr/  2π

C/  2π =  r

Elza [17]3 years ago
8 0

Answer: r= C over 2π or r=\dfrac{C}{2\pi}

Step-by-step explanation:

Formula to find the circumference of a circle is given by :-

C=2\pi r, where r is the radius of the circle .

To find the formula for r , we need to divide both sides by 2\pi, we get

r=\dfrac{C}{2\pi}

Hence, an equivalent equation solved for r will be :-

r=\dfrac{C}{2\pi} i.e. r= C over 2π

You might be interested in
Angel bought a 4 cups of freshly squeezed lemon juice. Be used 1/3 of a cup while making homemade lemonade. How many cups of lem
Debora [2.8K]

Answer:

12

Step-by-step explanation:

4/ 1/3=12

7 0
2 years ago
Let f(x) = log(x). Find values of a such that f(kaa) = kf(a).
meriva

Answer:

a = k^{\frac{1}{k-2}}

Step-by-step explanation:

Given:

f(x) = log(x)

and,

f(kaa) = kf(a)

now applying the given function, we get

⇒ log(kaa) = k × log(a)

or

⇒ log(ka²) = k × log(a)

Now, we know the property of the log function that

log(AB) = log(A) + log(B)

and,

log(Aᵇ) = b × log(A)

Thus,

⇒ log(k) + log(a²) = k × log(a)         (using log(AB) = log(A) + log(B) )

or

⇒ log(k) + 2log(a) = k × log(a)            (using log(Aᵇ) = b × log(A) )

or

⇒ k × log(a) - 2log(a) = log(k)

or

⇒ log(a) × (k - 2) = log(k)

or

⇒ log(a) = (k - 2)⁻¹ × log(k)

or

⇒ log(a) = \log(k^{\frac{1}{k-2}})          (using log(Aᵇ) = b × log(A) )

taking anti-log both sides

⇒ a = k^{\frac{1}{k-2}}

3 0
3 years ago
Find the general solution to 3y′′+12y=0. Give your answer as y=... . In your answer, use c1 and c2 to denote arbitrary constants
lozanna [386]

Answer:

y(x)=c_1e^{2ix}+c_2e^{-2ix}

Step-by-step explanation:

You have the following differential equation:

3y''+12y=0     (1)

In order to find the solution to the equation, you can use the method of the characteristic polynomial.

The characteristic polynomial of the given differential equation is:

3m^2+12=0\\\\m^2=-\frac{12}{3}=-4\\\\m_{1,2}=\pm2\sqrt{-1}=\pm2i

The solution of the differential equation is:

y(x)=c_1e^{m_1x}+c_2e^{m_2x}   (2)

where m1 and m2 are the roots of the characteristic polynomial.

You replace the values obtained for m1 and m2 in the equation (2). Then, the solution to the differential equation is:

y(x)=c_1e^{2ix}+c_2e^{-2ix}

4 0
3 years ago
Sandeep used 8 litres of fuel to travel 76 miles.
OleMash [197]

Answer:

I got, when calculated, 209 miles. (It may be wrong)

Step-by-step explanation:

First, I calculated how many miles can Sandeep travel with 1L, therefore I divided 76 miles by 8L and got 9.5 miles on 1L.

Then I multiplied 9.2 miles by 22L and got 209 miles.

This may be wrong but if anyone else is able to work it out much appreciated if it's correct.. Your most welcome!

4 0
2 years ago
I NEED HELPPPPPPLLLPLEASE
RideAnS [48]

Step-by-step explanation:

variability = larger range

can you put your answer below

5 0
2 years ago
Other questions:
  • The pattern of numbers below is an arithmetic sequence:
    14·2 answers
  • Anyone?! please I need to get this done
    12·1 answer
  • A silver piece of art in the shape of a regular heptagon has an apothem length of 27 mm and a side length of 26 mm.
    10·1 answer
  • Graph of Parent Functions
    9·2 answers
  • A worker at a factory earns $12 per hour plus 2.50 for each unit produced that hour. The worker earns a total of $27 in one hour
    14·1 answer
  • I need help ASAP with this?
    14·1 answer
  • Fator the following problem x^2+12x+36​
    7·2 answers
  • PLEASE HELP!! within the interval notation of [-3,-2) the function below is…
    10·1 answer
  • Please help me, What is 640.31 written in expanded form?
    13·2 answers
  • 1. Plot two points to form a square in the above graph. Label the points R and S. A square is a quadrilateral with all four side
    7·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!