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
lina2011 [118]
2 years ago
8

What is the following quotient?

Mathematics
1 answer:
Sergio039 [100]2 years ago
3 0

Answer:

\frac{\sqrt{3} }{4}

Step-by-step explanation:

\frac{1}{1+\sqrt{3} }

basically we want to get rid of the √3 on the denominator

to do so we multiply it by itself so it is a perfect square

but whatever we do to the top we must do to the bottom so we multiply the numerator and denominator by √3

\frac{1*\sqrt{3} }{1+\sqrt{3}*\sqrt{3}  }=\frac{\sqrt{3} }{1+\sqrt{9} } =\frac{\sqrt{3} }{1+3} =\frac{\sqrt{3} }{4}

notes : √3 × √3 = √9 which is a perfect square that simplfies to 3

You might be interested in
Which of the following is an example of scale?
Elena-2011 [213]

Answer:

12 inches in 1 foot

Step-by-step explanation:

In this problem, we need to find an example that is a scale.

There must be a relation between two units.

There are many types of units of lengths. These can be metre, cm, mm, foot, inches.

The relation between inch and foot is given by :

1 foot = 12 inch

So, we can say there are 12 inches in 1 foot.

<u>Hence, the correct option is (c).</u>

5 0
3 years ago
A city planner makes a scale drawing of a proposed playground. The length of the actual playground is 78 feet, and the width is
Allushta [10]

Answer:

  B)  6.5 inches by 3.5 inches

Step-by-step explanation:

Multiplying the actual dimensions by the scale gives the scale dimensions:

  (0.5 in)/(6 ft) × {78 ft, 42 ft}

  = {39/6 in, 21/6 in}

  = {6.5 in, 3.5 in}

The size on the scale drawing is 6.5 inches by 3.5 inches.

5 0
3 years ago
Read 2 more answers
Worker A finishes the job in 10 hours; worker B finishes it in 12 hours, and worker C finishes it in 15 hours.
nika2105 [10]
A=1/10, b=1/12, c=1/15  (these are the rates for each worker...)

1.)

2(1/10)+4(1/12)+t/15=1

1/5+1/3+t/15=1

(3+5+t)/15=1

3+5+t=15

8+t=15

t=7

So it would take c 7 hours to finish the job.

2.)

1/40-1/60

(3-2)/120

1/120

The drain rate is 1/60.  So you will need to find t when the tank is empty, while starting at 2/3 capacity...

2/3-t/60=0

(40-t)/60=0

40-t=0

t=40

It would take 40 minutes to empty the tank when it is 2/3 full.
5 0
4 years ago
How many outliers are there in this data set 1, 4, 6, 9, 12, 13, 13, 17, 19
Katarina [22]
Just find the average and whatever is more than like say 5 away is an out lier
8 0
4 years ago
What would be the value of expressing something like the national debt in scientific notation? What information would be lost in
Vikki [24]
<span>As of January 8, 2015, the U.S. is $18.1 trillion in debt. (Source: National Priorities Project)

1 Trillion 

= 1 Thousand Billion

= 1,000,000,000,000

= 10</span>¹²
<span>
---------------------------

U.S National debt currently stands at:

$ 18.1 x 10</span><span>¹²
</span><span>
*What information would be lost? Well firstly the 0's. The 0's put the size of the number into perspective. The word "trillion" would also be taken out of the picture, once again altering the perspective of the number.

Personally I'd prefer to hear "18.1 Trillion Dollars". Sounds more interesting.

</span>
8 0
3 years ago
Other questions:
  • I need help solving this please?
    13·1 answer
  • One pound of pork is $2 and one loaf of bread is $1.50 if you buy ten items you pay $18 what did I buy
    11·1 answer
  • In geometry how you get surface number on a shape with three different measurements
    10·1 answer
  • F(n+1)=-10f(n). If f(1)=1, what is f(3)?
    6·1 answer
  • Golden Corral charges $11 for a buffet plus $1 for each drink. Western Sizzlin charges $9 for a buffet plus $2 for each drink. W
    8·1 answer
  • Tom is 4 more than twice Andrews age. If Tom and Sara are twins, how old is Andrew?
    14·1 answer
  • 17. What is the solution to -7s=-35? (1 point)<br> Os=-6<br> Os=-5<br> Os = 5<br> Os=6
    9·2 answers
  • Please help<br><br> What is 2 2/3 - 4/5
    8·2 answers
  • Help please? :)
    13·2 answers
  • Which is the graph of x - y = 1?
    7·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!