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
polet [3.4K]
2 years ago
5

Use the law of sines to find the length of side c

Mathematics
1 answer:
AnnyKZ [126]2 years ago
8 0

Answer:

B. 44.93

Step-by-step explanation:

The law of sines states
\frac{a}{sinA} = \frac{b}{sinB} = \frac{c}{sinC}

where a, b and c are the 3 sides of the triangle and A is the angle opposite side a, B the angle opposite side b and C the angle opposite side c

In this particular problem we have

side a = 44, angle A = 46.7
side c = ? , angle C = 48

So 44/sin(46.7) = c/sin(48) or by multiplying both sides by sin(48)

c = sin(48) * 44/sin(46.7)  = 44.92937 which is 44.93 rounded to 2 decimal places

You might be interested in
Velocity is both speed and ___
notka56 [123]
<h3>and health.;</h3><h3 /><h3 /><h3>HOPE THIS HELPED</h3>
6 0
3 years ago
Read 2 more answers
The speaker is the ____________ of the message.
8090 [49]
The speaker is the encoder. That is the correct answer B.
7 0
3 years ago
Calculate the distance between (0,3) and (3,10) to 1 decimal place
Artemon [7]
Alright, so the distance formula is sqrt((x1-x2)^2+(y1-y2)^2), and plugging that in, we get sqrt((0-3)^2+(3-10)^2)=sqrt((-3)^2+(-7)^2)=sqrt(9+49)=sqrt(58)=around 7.6
5 0
3 years ago
A television network is deciding whether or not to give its newest television show a spot during prime viewing time at night. If
musickatia [10]

Answer:

a. The test statistic for this hypothesis would be z=1.71

b. Critical value at α = 0.10: z=1.282

c. Reject H0, the television network should not keep its current lineup.

d. H0: p ≤ 0.50; HA: p > 0.50

Step-by-step explanation:

We have to performa an hypothesis test on a proportion.

The claim is that the proportion of viewers that prefer the new show is bigger than 50% (meaning that most viewers prefer the new show).

The null hypothesis will state that both shows have the same proportion.

Then, the null and alternative hypothesis are:

H_0: \pi\leq0.50\\\\H_a: \pi>0.5

The sample proportion is p=0.53

p=X/n=438/827=0.53

The standard error of the proportion is:

\sigma_p=\sqrt{\dfrac{p(1-p)}{n}}=\sqrt{\dfrac{0.5*0.5}{827}}= 0.017

Then, the z-statistic can be calculated as:

z=\dfrac{p-\pi-0.5/n}{\sigma_p}=\dfrac{0.53-0.50-0.5/827}{0.017}=\dfrac{ 0.029 }{0.017} =1.706

The critical value for a right tailed test at a significance level of 0.10 is zc=1.282. This value can be looked up in a standard normal distribution table.

As the statistic is bigger than the critical value, it lies in the rejection region. The null hypothesis is rejected. There is evidence to support the claim that the proportion of viewers which support the new show is larger than 0.50.

4 0
3 years ago
What is two-thirds a number plus 4 is 7
andriy [413]
2/3x + 4 = 7
         -4    -4
4 cancels out.
2/3x = 3
x 3      x3
6/3 = 2x = 9
         /2     /2
2 cancels out.
x = 9/2 = 4.5

3 0
3 years ago
Read 2 more answers
Other questions:
  • 91 square foot bathroom has a length of 13 feet what is the width of the bathroom
    15·2 answers
  • Which are equations? Check all that apply.
    13·2 answers
  • Which is bigger 1000 feet or 300 yards?
    7·1 answer
  • Nadine made 16 cups of punch for a class party. One serving is 1/2cup. How many servings of punch did Nadine make?
    5·2 answers
  • Katherine is working two summer jobs, making $16 per hour lifeguarding and making $6 per hour walking dogs. In a given week, she
    6·1 answer
  • Help i need this answer by tomorrow
    7·1 answer
  • Find the 51st term of the arithmetic sequence 29, 9, -11,...
    8·1 answer
  • 35 divided by 1 3/4 and 5
    7·1 answer
  • 1+1-1×1÷1 = ?
    12·2 answers
  • Multiply. Write your answer as a fraction in simplest form.<br> 2x7/16
    14·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!