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
Kay [80]
2 years ago
9

May someone please help? thank you!

Mathematics
1 answer:
tester [92]2 years ago
7 0

Answer:

6\sqrt2\\OR\\8.48528137

Step-by-step explanation:

The area of a sector of a circle is found by:

A = \frac{\theta*r^2}{2}

The question asks for the radius so the equation above can be repurposed

r = \sqrt\frac{2A}{\theta}

A = 3pi

angle = pi/12

\frac{6\pi}{\pi/12} = \frac{72\pi}{\pi} = 72

\sqrt{72} = 6\sqrt2 = 8.48528137

You might be interested in
Find the volume of the largest rectangular box in the first octant with three faces in the coordinate planes and one vertex in t
Tresset [83]

Answer: The volume of largest rectangular box is 4.5 units.

Step-by-step explanation:

Since we have given that

Volume = xyz

with subject to x+2y+3z=9

So, let z=\dfrac{9-x-2y}{3}

So, Volume becomes,

V=xyz\\\\V=xy(\dfrac{9-x-2y}{3})\\\\V=\dfrac{9xy-x^2y-2xy^2}{3}

Partially derivative wrt x and y we get that

9-2x-2y=0\implies 2x+2y=9\\\\and\\\\9-x-4y=0\implies x+4y=9

By solving these two equations, we get that

x=3,y=\dfrac{3}{2}

So, z=\dfrac{9-x-2y}{3}=\dfrac{9-3-3}{3}=\dfrac{3}{3}=1

So, Volume of largest rectangular box would be

xyz=3\times \dfrac{3}{2}\times 1=\dfrac{9}{2}=4.5

Hence, the volume of largest rectangular box is 4.5 units.

4 0
3 years ago
Multiple Choice [x] + 5 = 18 A 5 or -5 B. 13 or -13 ​
Charra [1.4K]

Answer: don't know sorry

Step-by-step explanation:

4 0
3 years ago
Read 2 more answers
What's the next number? 0 , 1/3 , 1/2 , 3/5 , 2/3​
madam [21]

Answer:

The next number of the series 0, 1/3, 1/2, 3/5, and 2/3 is 5/7

Step-by-step explanation:

The given numbers are;

0, 1/3, 1/2, 3/5, and 2/3

The number sequence is formed adding \dfrac{1}{\left (\dfrac{n^2 + n}{2} \right ) } to each (n - 1)th term to get the nth term number in the sequence, with the first term equal to 0, as follows;

For the 2nd term, the (n - 1)th term is 0, and n = 2, gives;

The

0 +\dfrac{1}{\left (\dfrac{2^2 + 2}{2} \right ) } = 0 + \dfrac{1}{3} = \dfrac{1}{3}

For the 3rd term, the (n - 1)th term is 1/3, and n = 3, gives;

\dfrac{1}{3} +\dfrac{1}{\left (\dfrac{3^2 + 3}{2} \right ) } = \dfrac{1}{3} + \dfrac{1}{6} = \dfrac{1}{2}

For the 4th term, the (n - 1)th term is 1/2, and n = 4, gives;

\dfrac{1}{2} +\dfrac{1}{\left (\dfrac{4^2 + 4}{2} \right ) } = \dfrac{1}{2} + \dfrac{1}{10} = \dfrac{3}{5}

For the 5th term, the (n - 1)th term is 3/5, and n = 5, gives;

\dfrac{3}{5} +\dfrac{1}{\left (\dfrac{5^2 + 5}{2} \right ) } = \dfrac{3}{5} + \dfrac{1}{15} = \dfrac{2}{3}

For the next or 6th term, the (n - 1)th term is 2/3, and n = 6, gives;

\dfrac{2}{3} +\dfrac{1}{\left (\dfrac{6^2 + 6}{2} \right ) } = \dfrac{2}{3} + \dfrac{1}{21} =  \dfrac{15}{21} = \dfrac{5}{7}

The next number of the series 0, 1/3, 1/2, 3/5, and 2/3 = 5/7.

6 0
3 years ago
2+2 (I have been struggling on this for a long time)
Dmitry [639]
You might need a maths degree for this one, I believe it’s 4 but don’t quote me on that.
5 0
2 years ago
Read 2 more answers
18. Explain the Error Andy and Sylvie each incorrectly simplified
tangare [24]

Answer:

the correct solution is -8x + 9.

Step-by-step explanation:

6 0
2 years ago
Other questions:
  • What is an dividend in a math equation?
    6·1 answer
  • What is 1.45,1 1/2,1 1/3,1.2 in order from least to greatest?
    13·1 answer
  • Rectangular prism A measures 6 inches by 4 inches by 5 inches. Rectangular prism B's dimensions are twice those of prism A. Find
    8·2 answers
  • In degrees, what is the sum of the exterior angles of a square?
    15·2 answers
  • What is 68742 in expanded form?
    10·2 answers
  • Deal 1: $16.05 for 5 Caramel apples Deal 2: $19.14 for 6 caramel
    11·2 answers
  • Which of these R-values represents the weakest correlation?
    8·2 answers
  • A bow is made from 30cm of ribbon. How many can be made from 8.4m of ribbon and is there any left over?
    13·2 answers
  • Add 3 5/6 + 2 5/9 simplify the answer and multiply as a mixed number
    9·1 answer
  • What is the function of the tentacles of a cnidarian?
    5·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!