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
puteri [66]
3 years ago
11

Find the length of side x in simplest radical form with a rational denominator.

Mathematics
1 answer:
IRINA_888 [86]3 years ago
7 0

Answer: 10√3 / 3

Step-by-step explanation:

cos 30 = 5 / x

x = 5 / cos 30

= 5 / √3 / 2

= 10 √3

= 10√3 / 3

You might be interested in
BC is tangent to circle A at B and to circle D at C. AB= 10 BC= 21 DC= 8 find AD to the nearest tenth
Andrei [34K]
The attached diagram is an interpretation of the question.
If there are other details, please post.

The distance AD is found by Pythagoras theorem, with 
AD=sqrt(BC^2+(AB-DC)^2)=sqrt(21^2+2^2)=sqrt(441+4)=sqrt(445)
=21.095 (to the third decimal place)

4 0
3 years ago
Can someone help me please
Anarel [89]

Answer:

Step-by-step explanation:

I made a table with a pretend number of years of teaching by picking a somewhat random number to start

"Clark has less seniority than Cornwall but more than Prendergast:"  I picked 3 for Clark 4 for Cornwall, and 2 for Prendergast, to start.

"Prendergast has more than Brown but less than Alexander:"  I see I'm running out of easy numbers here.  "Prendergast has more than Brown" means give Brown 1 year but this new teacher, Alexander needs a number between Clark and Prendergast.  To make room, I increased Clark and Cornwall by 1 and finished the remainder in the "Final Years" column:

<u>Teacher </u>     <u>Years</u>     <u> Final Years</u>

Clark         3               4

Cornwall         4               5

Prendergast                  2    

Brown                          1

Alexander                  3

The highest seniority teacher, Cornwall, is smart and refuses the job.  That leaves Clark, at number 2 seniority, to become the new supervisor.

6 0
2 years ago
There is a bag filled with 6 blue and 5 red marbles.
Cerrena [4.2K]

Answer:

Step-by-step explanation:

Um

8 0
3 years ago
Use the quadratic formula to find the solutions to the quadratic equation below x^2-6x-5=0
Sonja [21]

Answer:

\large\boxed{x=3-\sqrt{14}\ \vee\ x=3+\sqrt{14}}

Step-by-step explanation:

x^2-6x-5=0\qquad\text{add 5 to both sides}\\\\x^2-6x=5\\\\x^2-2(x)(3)=5\qquad\text{add}\ 3^2\ \text{to both sides}\\\\x^2-2(x)(3)+3^2=5+3^2\qquad\text{use}\ (a-b)^2=a^2-2ab+b^2\\\\(x-3)^2=5+9\\\\(x-3)^2=14\to x-3=\pm\sqrt{14}\qquad\text{add 3 to both sides}\\\\x=3-\sqrt{14}\ \vee\ x=3+\sqrt{14}

8 0
2 years ago
The quotient of 8 times a number and the cube root of the number
galben [10]

Answer:

you would be dividing so it will be n over 8

Step-by-step explanation:

n/8...

hope this helped?

3 0
3 years ago
Other questions:
  • What ratio would you use to convert 1.5 feet to miles?
    11·1 answer
  • 20 % of 2 is equal to
    9·2 answers
  • If u can help me and show work plzzz!!!
    5·1 answer
  • Ms andrew made a line plots below to compare the quiz score for her first period math class and her second -period math class. s
    8·2 answers
  • An animal shelter has a ratio of cats to dogs that is 9:7. What fraction of these animals are dogs?
    6·2 answers
  • Can someone pls help need it ASAP<br> :)<br> it is not <br> x=-13.4, y=-3.2
    8·1 answer
  • Multiply: -14(y+11)
    9·2 answers
  • PLEASE HELP!! DUE SOON :(
    12·1 answer
  • Find the exact perimeter of quadrilateral ABCD plotted below. A-3,2) B(6,-2) D(0,-6) C(3.-6)​
    6·2 answers
  • Showw the work need it fastt
    14·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!