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
Olegator [25]
3 years ago
15

3 а. A = 6 cm Calculate the diameter of the circle.​

Mathematics
1 answer:
jeyben [28]3 years ago
6 0

Answer:

2.739... cm

Step-by-step explanation:

The formula for finding diameter from area is

d = 2√(a/pi)

Replace the a with 6, and the answer becomes

2.739

You might be interested in
Save me the headache
maxonik [38]

(9\sin2x+9\cos2x)^2=81

Taking the square root of both sides gives two possible cases,

9\sin2x+9\cos2x=9\implies\sin2x+\cos2x=1

or

9\sin2x+9\cos2x=-9\implies\sin2x+\cos2x=-1

Recall that

\sin(\alpha\pm\beta)=\sin\alpha\cos\beta\pm\cos\alpha\sin\beta

If \alpha=2x and \beta=\dfrac\pi4, we have

\sin\left(2x+\dfrac\pi4\right)=\dfrac{\sin2x+\cos2x}{\sqrt2}

so in the equations above, we can write

\sin2x+\cos2x=\sqrt2\sin\left(2x+\dfrac\pi4\right)=\pm1

Then in the first case,

\sqrt2\sin\left(2x+\dfrac\pi4\right)=1\implies\sin\left(2x+\dfrac\pi4\right)=\dfrac1{\sqrt2}

\implies2x+\dfrac\pi4=\dfrac\pi4+2n\pi\text{ or }\dfrac{3\pi}4+2n\pi

(where n is any integer)

\implies2x=2n\pi\text{ or }\dfrac\pi2+2n\pi

\implies x=n\pi\text{ or }\dfrac\pi4+n\pi

and in the second,

\sqrt2\sin\left(2x+\dfrac\pi4\right)=-1\implies\sin\left(2x+\dfrac\pi4\right)=-\dfrac1{\sqrt2}

\implies2x+\dfrac\pi4=-\dfrac\pi4+2n\pi\text{ or }-\dfrac{3\pi}4+2n\pi

\implies2x=-\dfrac\pi2+2n\pi\text{ or }-\pi+2n\pi

\implies x=-\dfrac\pi4+n\pi\text{ or }-\dfrac\pi2+n\pi

Then the solutions that fall in the interval [0,2\pi) are

x=0,\dfrac\pi4,\dfrac\pi2,\dfrac{3\pi}4,\pi,\dfrac{5\pi}4,\dfrac{3\pi}2,\dfrac{7\pi}4

5 0
3 years ago
Read 2 more answers
if sec theta equals negative 5/3, such that 180° <thata<270° then determine what is tan theta ?
Svetllana [295]
I hope this makes sense, if not please feel free to let me know and I'll explain it. 

4 0
3 years ago
Factor both quadratic expressions. (x 4 + 5x 2 - 36)(2x 2 + 9x - 5) = 0
Sonbull [250]

So focusing on x^4 + 5x^2 - 36, we will be completing the square. Firstly, what two terms have a product of -36x^4 and a sum of 5x^2? That would be 9x^2 and -4x^2. Replace 5x^2 with 9x^2 - 4x^2: x^4+9x^2-4x^2-36

Next, factor x^4 + 9x^2 and -4x^2 - 36 separately. Make sure that they have the same quantity inside of the parentheses: x^2(x^2+9)-4(x^2+9)

Now you can rewrite this as (x^2-4)(x^2+9) , however this is not completely factored. With (x^2 - 4), we are using the difference of squares, which is a^2-b^2=(a+b)(a-b) . Applying that here, we have (x+2)(x-2)(x^2+9) . x^4 + 5x^2 - 36 is completely factored.

Next, focusing now on 2x^2 + 9x - 5, we will also be completing the square. What two terms have a product of -10x^2 and a sum of 9x? That would be 10x and -x. Replace 9x with 10x - x: 2x^2+10x-x-5

Next, factor 2x^2 + 10x and -x - 5 separately. Make sure that they have the same quantity on the inside: 2x(x+5)-1(x+5)

Now you can rewrite the equation as (2x-1)(x+5) . 2x^2 + 9x - 5 is completely factored.

<h3><u>Putting it all together, your factored expression is (x+2)(x-2)(x^2+9)(2x-1)(x+5)=0</u></h3>
5 0
3 years ago
One tennis ball can holds 3 balls. Jenna filled 5 cans and had 1 ball left over.
wariber [46]

Answer:

It is C  5 x 3 + 1 = n

Step-by-step explanation:

You would multiply 5 x 3 because you have 3 balls that can fit in a can and there are 5 cans

Then you would add 1 because you had one extra ball that didn't fit in a can

8 0
3 years ago
Read 2 more answers
10 out of 85 students are left handed a my school if 391 students are at my school total how many students in my school at left
svet-max [94.6K]

Answer:

About 40 students are left handed

Step-by-step explanation:


3 0
3 years ago
Other questions:
  • What is the absolute deviation of the data set 4, 4, 6, 6, 7, 8, 8, 8, 9, 10
    5·1 answer
  • Identify the length of BP. PLEASE HELP ASAP!!
    8·2 answers
  • A savings account grows by 3% each year. Sofia places $500 in the account at the beginning of the year. (a) How much does Sofia
    9·1 answer
  • a card is drawn from a standard 52-card deck. what is the probability that the card is a red jack, given that the card is a face
    11·1 answer
  • Amy is eight years older than twice her cousin Alicia’s age. The sum of their ages is less than 32.
    15·2 answers
  • Y + 5 = -x<br> Slope intercept
    10·1 answer
  • Calculate the product below and give your answer in scientific notation .2x10^6 x 0.0009
    15·1 answer
  • Tim bought five new baseball trading cards to add to his collection. The next
    9·2 answers
  • 5. ALGEBRA Refer to the figure in
    14·1 answer
  • An angle measures 130.8° more than the measure of its supplementary angle. What is the measure of each angle
    13·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!