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
LUCKY_DIMON [66]
3 years ago
10

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

Mathematics
1 answer:
zysi [14]3 years ago
6 0

Step-by-step explanation:

  1. sin60°=opposite/adjacent
  2. sin60°=x/7
  3. √3/2=X/7 u will crisscross it here
  4. 7√3/2=X
  5. X=7√3/2
You might be interested in
Let G denote the centroid of triangle ABC. If triangle ABG is equilateral with side length 2, then determine the perimeter of tr
zhannawk [14.2K]
We know from Euclidean Geometry and the properties of a centroid that GC=2GM. Now GM=sin60*GA=\sqrt{3}. Hence CM=GC+GM=3*\sqrt{3} /. Now, since GM is normal to AB, we have by the pythagoeran theorem that:
AC^2=AM^2+GM^2=BM^2+GM^2=BC^2
Hence, we calculate from this that AC^2= 28, hence AC=2*\sqrt{7}=BC. Thus, the perimeter of the triangle is 2+4*\sqrt{7}.

3 0
3 years ago
It is estimated that 0.54 percent of the callers to the Customer Service department of Dell Inc. will receive a busy signal. Wha
stira [4]

Using the binomial distribution, it is found that there is a 0.8295 = 82.95% probability that at least 5 received a busy signal.

<h3>What is the binomial distribution formula?</h3>

The formula is:

P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}

C_{n,x} = \frac{n!}{x!(n-x)!}

The parameters are:

  • x is the number of successes.
  • n is the number of trials.
  • p is the probability of a success on a single trial.

In this problem:

  • 0.54% of the calls receive a busy signal, hence  p = 0.0054.
  • A sample of 1300 callers is taken, hence n = 1300.

The probability that at least 5 received a busy signal is given by:

P(X \geq 5) = 1 - P(X < 5)

In which:

P(X < 5) = P(X = 0) + P(X = 1) + P(X = 2) + P(X = 3) + P(X = 4).

Then:

P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}

P(X = 0) = C_{1300,0}.(0.0054)^{0}.(0.9946)^{1300} = 0.0009

P(X = 1) = C_{1300,1}.(0.0054)^{1}.(0.9946)^{1299} = 0.0062

P(X = 2) = C_{1300,2}.(0.0054)^{2}.(0.9946)^{1298} = 0.0218

P(X = 3) = C_{1300,3}.(0.0054)^{3}.(0.9946)^{1297} = 0.0513

P(X = 4) = C_{1300,4}.(0.0054)^{4}.(0.9946)^{1296} = 0.0903

Then:

P(X < 5) = P(X = 0) + P(X = 1) + P(X = 2) + P(X = 3) + P(X = 4) = 0.0009 + 0.0062 + 0.0218 + 0.0513 + 0.0903 = 0.1705.

P(X \geq 5) = 1 - P(X < 5) = 1 - 0.1705 = 0.8295

0.8295 = 82.95% probability that at least 5 received a busy signal.

More can be learned about the binomial distribution at brainly.com/question/24863377

#SPJ1

6 0
2 years ago
Let s represent a false statement, let p represent a true statement, and let r represent a false statement. Find the truth value
kondaur [170]
<h3>Answer:  false</h3>

Work Shown:

s = false

p = true

r = false

-p = false, which is the opposite of statement p

s or -p = false or false = false

The result of an 'or' operation is false only when both parts are false; otherwise, it is true

(s or -p) or r = false or false = false

(s or -p) or r = false

8 0
3 years ago
A= 1/2 h (a+b) solve for h
Valentin [98]
"<span>A= 1/2 h (a+b) solve for h"
</span>
bh + 1/2h
7 0
3 years ago
The prime factorization of a number is 32 • 5 • 11. What is<br> the number?
Lyrx [107]
160 is the number i believe, hope it helps
3 0
3 years ago
Read 2 more answers
Other questions:
  • If there are 3.5 boxes of Lettie in the coole, and there is four bags in a box how many is left over
    6·1 answer
  • Over the last three evenings, Jane received a total of 123 phone calls at the call center. The second evening, she received 4 ti
    10·1 answer
  • For the points (5,4)and (7,8), find the distance between the points and find the
    10·1 answer
  • How do you prove theorems behind two parallel lines cut by a transversal?
    9·1 answer
  • What is the answer to this question? Please help!
    5·2 answers
  • Identify the area of the figure rounded to the nearest tenth.
    8·1 answer
  • 2÷3 is 2/3. What is 1/3 of 2?
    12·2 answers
  • Pls awnser asap plplplplplplplplplplplplp
    10·1 answer
  • Please help!! CORRECT ANSWERS ONLY! Please show your work!
    14·2 answers
  • What is the range of the function f(x) = |x + 4| + 2?
    15·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!