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
Sholpan [36]
3 years ago
12

Find the length of BC

Mathematics
1 answer:
Helen [10]3 years ago
5 0

Answer:

C, 11.62 units

Step-by-step explanation:

tan 54° = \frac{16}{x}

x tan  54° = 16

x = \frac{16}{tan54}

x≈11.62468045

x= 11.62

You might be interested in
A bag contains 3 blue and 2 green marbles. What is the probability of drawing a blue marble followed by a green marble, without
Vlad [161]

Answer:

3/5 * 2/4 = 3/5 * 1/2 = 3/10 = 0.3 = 30%

4 0
3 years ago
Solve the system of equations 5x + 6y = 26 and -2 + y = -14 by combining the<br> equations.
aniked [119]

Answer:

(19.6,-12)

Step-by-step explanation:

7 0
3 years ago
Read 2 more answers
in a certain population, 11% of people are left-handed. Suppose that you plan to randomly select 100 people and ask each person
Assoli18 [71]

Answer:

c. A and C

Step-by-step explanation:

The binomial distribution is a "DISCRETE probability distribution that summarizes the probability that a value will take one of two independent values under a given set of parameters. The assumptions for the binomial distribution are that there is only one outcome for each trial, each trial has the same probability of success, and each trial is mutually exclusive, or independent of each other".

Let X the random variable of interest, on this case we now that:

X \sim Binom(n=100, p=0.11)

The probability mass function for the Binomial distribution is given as:

P(X)=(nCx)(p)^x (1-p)^{n-x}

Where (nCx) means combinatory and it's given by this formula:

nCx=\frac{n!}{(n-x)! x!}

We need to check the conditions in order to use the normal approximation.

np=100*0.11=11 > 10 \geq 10

n(1-p)=100*(1-0.11)=99 \geq 10

So we see that we satisfy the conditions and then we can apply the approximation.

If we appply the approximation the new mean and standard deviation are:

E(X)=np=100*0.11=11

\sigma=\sqrt{np(1-p)}=\sqrt{100*0.11(1-0.11)}=3.129

Part A

We want this probability:

P(X \geq 12) = 1-P(X

The z score is defined as

Z=\frac{x-\mu}{\sigma}.

P(X \geq 12) = 1-P(X

Part B

P(X>12) = 1-P(X\leq 12) = 1-P(Z< \frac{12-11}{3.129})=1-0.625=0.375[/tex]

Part C

P(10\leq X \leq 14) = P(X

The z score is defined as

Z=\frac{x-\mu}{\sigma}.

P(10 \leq X \leq 14) =P(Z< \frac{14-11}{3.129}) -P(Z< \frac{10-11}{3.129})=P(Z

So then the best option is : c. A and C

8 0
4 years ago
Veronica teaches French in groups of four students. She rents a room for $200 per month. She charges $45 per hour per student. V
alexandr402 [8]
<span>of the task , we know that :
</span>
profit netto = $ 6100
<span>influenza students = 7
</span>hourly rate for one lesson of the French language  = $45

<span>we do not know about
</span>
profit brutto = ?    <span>denoted as x

</span><span>the amount collected lessons
for one student = ?    denoted as y

x = $6100 + $200
</span>y =  \frac{x}{45*7}
<span>
</span>\left \{ {{x=6300} \atop {y= \frac{6300}{315} =2}} \right.
<span>
2 away

</span>y =  \frac{6100 + 200}{45 * 7}  = 2<span>
</span>
4 0
4 years ago
The distance travelled by Ben and Tim is in the ratio 3 : 4. The distance travelled by Ben is 18 miles. Find the distance travel
NemiM [27]
IT NEEDS TO BE EQUAL SO SINCE YOU KNOW 18 DIVIDED BY 3 IS SIX, WE JUST DO 4 TIMES 6 IS 24 AND THERE YOU HAVE IT!
6 0
3 years ago
Read 2 more answers
Other questions:
  • The profit function is P = 50x + 80y, where x represents the number of chairs and y represents the number of sofas. Using the va
    7·2 answers
  • I need the answer to solve this I’ve been stuck all day
    9·1 answer
  • Use the function f(x)=2x^3-3x^2+7 to complete the exercises
    10·2 answers
  • Match the term with the definition
    5·1 answer
  • Please answer ASAP. Will reward Brainliest Answer to first, correct answer, with explanation!
    11·1 answer
  • The number of cans the soup kitchen has is represented by the equation, y = -63x + 825, where x represents the number of days an
    6·1 answer
  • Given: the compass and straightedge construction of angle bisector SP Prove: ΔPWS ≅ ΔPXS Determine the missing reasons in the pr
    7·1 answer
  • A teacher divided the class into two groups of equal size. ⅗ of the first group are right-handed. 80% of the second group are ri
    14·1 answer
  • Mr. Haynes orders carry out from Outback. The cost of his order is $82.37. If Mr. Haynes would like to add a 10% tip, what will
    5·1 answer
  • Evan has a loyalty card good for a discount at his local hardware store. The item he
    6·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!