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
irinina [24]
3 years ago
14

Describe the relationship between the area of a circle and its circumference.

Mathematics
2 answers:
MAVERICK [17]3 years ago
7 0

Answer 1. area 2. 1\2 3. radius

Step-by-step explanation:

it is trsut me i got it right on the exam

AfilCa [17]3 years ago
6 0

Answer:

1)

Area

2)

1/2

3)

Radius

Step-by-step explanation:

We know that for any circle with radius r the formula for the area and circumference of the circle is given as:

Area of circle=πr².

and circumference of circle = 2πr.

Hence, to describe  the relationship between the area of a circle and its circumference.

The Area of circle is 1/2 times the radius times the circumference.

( Since,

Area=1/2 × r× 2πr

Area=πr² )

You might be interested in
**Spam answers will not be tolerated**
Morgarella [4.7K]

Answer:

f'(x)=-\frac{2}{x^\frac{3}{2}}

Step-by-step explanation:

So we have the function:

f(x)=\frac{4}{\sqrt x}

And we want to find the derivative using the limit process.

The definition of a derivative as a limit is:

\lim_{h \to 0} \frac{f(x+h)-f(x)}{h}

Therefore, our derivative would be:

\lim_{h \to 0}\frac{\frac{4}{\sqrt{x+h}}-\frac{4}{\sqrt x}}{h}

First of all, let's factor out a 4 from the numerator and place it in front of our limit:

=\lim_{h \to 0}\frac{4(\frac{1}{\sqrt{x+h}}-\frac{1}{\sqrt x})}{h}

Place the 4 in front:

=4\lim_{h \to 0}\frac{\frac{1}{\sqrt{x+h}}-\frac{1}{\sqrt x}}{h}

Now, let's multiply everything by (√(x+h)(√(x))) to get rid of the fractions in the denominator. Therefore:

=4\lim_{h \to 0}\frac{\frac{1}{\sqrt{x+h}}-\frac{1}{\sqrt x}}{h}(\frac{\sqrt{x+h}\sqrt x}{\sqrt{x+h}\sqrt x})

Distribute:

=4\lim_{h \to 0}\frac{({\sqrt{x+h}\sqrt x})\frac{1}{\sqrt{x+h}}-(\sqrt{x+h}\sqrt x)\frac{1}{\sqrt x}}{h({\sqrt{x+h}\sqrt x})}

Simplify: For the first term on the left, the √(x+h) cancels. For the term on the right, the (√(x)) cancel. Thus:

=4 \lim_{h\to 0}\frac{\sqrt x-(\sqrt{x+h})}{h(\sqrt{x+h}\sqrt{x}) }

Now, multiply both sides by the conjugate of the numerator. In other words, multiply by (√x + √(x+h)). Thus:

= 4\lim_{h\to 0}\frac{\sqrt x-(\sqrt{x+h})}{h(\sqrt{x+h}\sqrt{x}) }(\frac{\sqrt x +\sqrt{x+h})}{\sqrt x +\sqrt{x+h})}

The numerator will use the difference of two squares. Thus:

=4 \lim_{h \to 0} \frac{x-(x+h)}{h(\sqrt{x+h}\sqrt x)(\sqrt x+\sqrt{x+h})}

Simplify the numerator:

=4 \lim_{h \to 0} \frac{x-x-h}{h(\sqrt{x+h}\sqrt x)(\sqrt x+\sqrt{x+h})}\\=4 \lim_{h \to 0} \frac{-h}{h(\sqrt{x+h}\sqrt x)(\sqrt x+\sqrt{x+h})}

Both the numerator and denominator have a h. Cancel them:

=4 \lim_{h \to 0} \frac{-1}{(\sqrt{x+h}\sqrt x)(\sqrt x+\sqrt{x+h})}

Now, substitute 0 for h. So:

=4 ( \frac{-1}{(\sqrt{x+0}\sqrt x)(\sqrt x+\sqrt{x+0})})

Simplify:

=4( \frac{-1}{(\sqrt{x}\sqrt x)(\sqrt x+\sqrt{x})})

(√x)(√x) is just x. (√x)+(√x) is just 2(√x). Therefore:

=4( \frac{-1}{(x)(2\sqrt{x})})

Multiply across:

= \frac{-4}{(2x\sqrt{x})}

Reduce. Change √x to x^(1/2). So:

=-\frac{2}{x(x^{\frac{1}{2}})}

Add the exponents:

=-\frac{2}{x^\frac{3}{2}}

And we're done!

f(x)=\frac{4}{\sqrt x}\\f'(x)=-\frac{2}{x^\frac{3}{2}}

5 0
3 years ago
The product of
Basile [38]

Answer:

a= 12

b=-2

Step-by-step explanation:

12 x -2 = -24

12 - (-2) = 14

12 + (-2) = 10

3 0
3 years ago
One car travel 56 miles per hour and another travels 31 miles per hour. If they start from the same place at the same time and t
Vitek1552 [10]

After 3 hours, the faster car will be 75 miles ahead of the slower car.

Step-by-step explanation:

Given,

Speed of first car = 56 miles per hour

Speed of second car = 31 miles per hour

Let,

x be the number of hours.

Distance covered by first car = Speed * time = 56x

Distance covered by second car = 31x

According to given statement;

Difference between distance covered by both cars = 75 miles

Distance of faster car - Distance of slower car = 75 miles

56x-31x=75\\25x=75

Dividing both sides by 25

\frac{25x}{25}=\frac{75}{25}\\x=3

After 3 hours, the faster car will be 75 miles ahead of the slower car.

Keywords: subtraction, division

Learn more about subtraction at:

  • brainly.com/question/1329620
  • brainly.com/question/1332667

#LearnwithBrainly

4 0
3 years ago
4a + 6b= 10 2a - 4b =12 what does 12a=
mixer [17]
4a + 6b = 10
2a - 4b = 12...multiply by -2
----------------
4a + 6b = 10
-4a + 8b = - 24 (result of multiplying by -2)
------------------add
14b = - 14
b = -14/14
b = -1

2a - 4b = 12
2a - 4(-1) = 12
2a + 4 = 12
2a = 12 - 4
2a = 8
a = 8/2
a = 4

so 12a = 12(4) = 48 <==
3 0
4 years ago
4(3x + 2)<br> (Box)x+ 8<br><br> What number belongs in the box?<br> A. 3<br> B. 4<br> C. 7<br> D. 12
ASHA 777 [7]

Answer:

option D 12 is correct..

in second question the student didn't multiply -3 with 4. that's the mistake he did.

hope it helps

4 0
3 years ago
Read 2 more answers
Other questions:
  • Help pleaseeeee! It’s urgent
    13·1 answer
  • Y=4x-1 is the equation of a straight line graph. What is its gradient ?
    13·1 answer
  • The currency exchange for US dollars (USD) to Canadian dollars (CAD) changes daily. If the rate today is one CAD for every $0.85
    12·1 answer
  • The school has an acceptance rate of 15%. 15% of the students that apply get in. The school took in 1800 students last year. How
    12·1 answer
  • Slove for f<br> f+1/4= -7/2
    11·2 answers
  • Hypothesize why human artifacts on the Moon might need to be protected.
    15·1 answer
  • Two points from the line of best fit can be used to find the slope of the line, which can be used to find the equation of the li
    13·1 answer
  • Jason has been smoking cigarettes since he was 13 years old. He has smoked an a age of one pack of cigarettes a day since he sta
    11·1 answer
  • 4 (3x - 4) = -(-2x + 21) solve for x
    6·2 answers
  • Find the discriminant and describe the nature of the root(s) of the equation: 6x2 - 2x - 4 = 0)
    10·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!