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
babunello [35]
3 years ago
15

Suppose the area of a circle is 4π. What is its diameter?

Mathematics
2 answers:
mart [117]3 years ago
6 0
Area=pi times radius^2 so

if area=4pi=pi times r^2
4 times pi=r^2 times pi
divide both sdies by pi
4=r^2
square root
2=radius since legnth cannot be negative

radius=1/2 diamters
2 radius=diameter
2(2)=diameter=4
diameter=4
Ganezh [65]3 years ago
6 0
A=4\pi=\pi r^2\\
4\pi=\pi r^2\\
r^2=4\\
r=2\\\\
d=2r\\
d=2\cdot2\\
d=4
You might be interested in
​Find all roots: x^3 + 7x^2 + 12x = 0 <br> Show all work and check your answer.
Aliun [14]

The three roots of x^3 + 7x^2 + 12x = 0 is 0,-3 and -4

<u>Solution:</u>

We have been given a cubic polynomial.

x^{3}+7 x^{2}+12 x=0

We need to find the three roots of the given polynomial.

Since it is a cubic polynomial, we can start by taking ‘x’ common from the equation.

This gives us:

x^{3}+7 x^{2}+12 x=0

x\left(x^{2}+7 x+12\right)=0   ----- eqn 1

So, from the above eq1 we can find the first root of the polynomial, which will be:

x = 0

Now, we need to find the remaining two roots which are taken from the remaining part of the equation which is:

x^{2}+7 x+12=0

we have to use the quadratic equation to solve this polynomial. The quadratic formula is:

x=\frac{-b \pm \sqrt{b^{2}-4 a c}}{2 a}

Now, a = 1, b = 7 and c = 12

By substituting the values of a,b and c in the quadratic equation we get;

\begin{array}{l}{x=\frac{-7 \pm \sqrt{7^{2}-4 \times 1 \times 12}}{2 \times 1}} \\\\{x=\frac{-7 \pm \sqrt{1}}{2}}\end{array}

<em><u>Therefore, the two roots are:</u></em>

\begin{array}{l}{x=\frac{-7+\sqrt{1}}{2}=\frac{-7+1}{2}=\frac{-6}{2}} \\\\ {x=-3}\end{array}

And,

\begin{array}{c}{x=\frac{-7-\sqrt{1}}{2}} \\\\ {x=-4}\end{array}

Hence, the three roots of the given cubic polynomial is 0, -3 and -4

4 0
3 years ago
If 4 (x-2/3) = -18, what is the value of 2x
BaLLatris [955]

Answer:

-11.5

Step-by-step explanation:

4(x-2/3)=-18

4x-8/3=-18

4x-8=-18×3

4x-8=-54

4x=-54+8

4x=-46

x=-46/4

x=-11.5

4 0
3 years ago
Leo and her on spent 3/4 hour shopping 5/6 hour preparing the pizzas and 11/12 hour cleaning up after the party how many minutes
Aneli [31]

Answer:

150 minutes

Step-by-step explanation:

First we have to express all these fractions of an hour in minutes, then add them and get the total of minutes.

To pass these numbers in hours to minutes, we only have to multiply by 60 because one hour has 60 minutes.

3/4 h =

3/4 * 60 = 45m

5/6 h =

5/6 * 60 = 50m

11/12 h =

11/12 * 60 = 55m

to calculate the total number of minutes we have to add the 3 values ​​that we have

45m + 50m + 55m = 150m

8 0
3 years ago
Chance knows the length of a football field (including end zones) is 120 yards. The width of the field is 53.33 yards. What is t
givi [52]

Answer = about 6,400 yards squared

Step-by-step explanation:

4 0
3 years ago
Convert 65,000,000 to scientific notation.
Sophie [7]

Answer:

6.5 x 10^7. PLEASE MARK BRAINLIEST IF THIS HELPS.

Step-by-step explanation:

Well, its kind of hard to explain but i'll do my best.

65,000,000 has six zeros, and in order to get the answer, you have to put the answer into a decimal. So all you have to do is put the decimal right here. 65000000.< Hope that makes sense. Then all you have to do is move that decimal to the left however many times is needed to make the answer a decimal (in this case it is 7 times). Which makes the answer 6.5 but your not done yet, then, since you had to move to the left seven times in order to get your decimal, that means the second part of your answer is 10^7, (10 to the seventh power) since you moved seven times. Example: if you had had to move to the left 9 times to get your decimal, then it would have been 10^9, if that makes any sense. So that means your final product would be 6.5 x 10^7

8 0
3 years ago
Read 2 more answers
Other questions:
  • How do you solve systems of equations using matrices? I need help with the steps please
    6·1 answer
  • Write an inequality to solve how many comic books would have Jose have to sell to make at least $100.
    15·1 answer
  • The listing Pagoda of Phan-ling is leaning 5 feet off center . Every 25 years, The pagoda leans an additional foot. It will coll
    11·2 answers
  • Could someone please help?
    9·2 answers
  • A line passes through (-2, 5) and has a slope of what is the equation of the line in point-slope form?
    14·1 answer
  • Hey y'all mind helping me with geometry, I'd really appreciate it :)
    15·1 answer
  • Find the area of DUO
    12·1 answer
  • How do you find the inverse f-1(x) given f(x)=x^3+7?
    11·1 answer
  • Explain how to find the product of 3/8 x 7/9 .Use complete sentences in your answer.
    7·1 answer
  • How are you all my friends?​
    14·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!