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
Lyrx [107]
3 years ago
14

Laws of cosines!!! find B round to the nearest tenth!!!! second time posting this help ASAP!!!​

Mathematics
1 answer:
Nookie1986 [14]3 years ago
3 0

Answer:

32.7°

Step-by-step explanation:

Use the formula for law of cosines, for this question we need so solve for angle B, so use...

b² = a² + c² - 2(a)(c)Cos B

We are given a, b, and c, so plug them in...

55² = 90² + 50² - 2(90)(50)Cos B

Now simplify...

3,025 = 8100 + 2500 - (9000)Cos B

   -7,575 = -(9000)Cos B   (subtract 8100 and 2500 from both sides)  

   

       0.841666667 = Cos B    (divide both sides by -9000)

       Cos^(-1) 0.841666667 = B  (use cosine inverse function on calculator)

          32.68346376° = B

           32.7° = B

 

You might be interested in
HELP PLS APASAPA I WILL GIVE BRAIN
Alex777 [14]

Answer:

you answer will be a binary number

7 0
2 years ago
For the hypothesis test H0: μ = 10 against H1: μ >10 and variance known, calculate the Pvalue for each of the following test
Basile [38]

Answer:

a) p_v =P(Z>2.05)=1-P(z

b) p_v =P(Z>-1.84)=1-P(z

c) p_v =P(Z>0.4)=1-P(z

Step-by-step explanation:

Some previous concepts

The p-value is the probability of obtaining the observed results of a test, assuming that the null hypothesis is correct.

A z-test for one mean "is a hypothesis test that attempts to make a claim about the population mean(μ)".

The null hypothesis attempts "to show that no variation exists between variables or that a single variable is no different than its mean"

The alternative hypothesis "is the hypothesis used in hypothesis testing that is contrary to the null hypothesis"

Hypothesis

Null hypothesis: \mu=10

Alternative hypothesis: \mu >10

If the random variable is distributed like this: X \sim N(\mu,\sigma)

We assume that the variance is known so the correct test to apply here is the z test to compare means, the statistic is given by the following formula:

z_o=\frac{\bar X -\mu}{\sigma}

Since we have the values for the statistic already calculated we can calculate the p value using the following formulas:

Part a

p_v =P(Z>2.05)=1-P(z

And in order to find the answer using excel we can use the following code:

"=1-NORM.DIST(2.05,0,1,TRUE)"

Part b

p_v =P(Z>-1.84)=1-P(z

And in order to find the answer using excel we can use the following code:

"=1-NORM.DIST(-1.84,0,1,TRUE)"

Part c

p_v =P(Z>0.4)=1-P(z

And in order to find the answer using excel we can use the following code:

"=1-NORM.DIST(0.4,0,1,TRUE)"

Conclusions

If we use a reference value for the significance, let's say \alpha=0.05. For part a the p_v so then we can reject the null hypothesis at this significance level.

For part b the p_v>\alpha so then we FAIL to reject the null hypothesis at this significance level.

For part c the p_v>\alpha so again we FAIL to reject the null hypothesis at this significance level.

3 0
3 years ago
What is the value of x?
stiks02 [169]

Answer:

Step-by-step explanation:

Use Pythagoras Theorem

x² + 16² = 34²

x² + 256 =  1156

x² = 1156 - 256

x² = 900

x= √3*3*10*10

x= 3*10

x = 30

4 0
3 years ago
Read 2 more answers
Scale of a model airplane to the actual airplane is 1 inch equals 10 feet. How many times longer the actual plane is than the mo
WINSTONCH [101]

Answer:

120 times

Step-by-step explanation:

If we want to find a qunatity is how many times as other quantity, we have to divide the large one by the small one (remember, same units).

Let's make both into inches.

We have 1 inch [model]

also

10 feet * 12 = 120 inches

Thus, we can say:

120/1 = 120 times

So, Actual Plane is 120 times than model airplane

6 0
3 years ago
What do all rational numbers have in common?
NISA [10]
They can be expressed as fractions






they have positive values and can be expressed as terminating decimals.
5 0
3 years ago
Other questions:
  • James flipped a quarter 40 times he flipped a head 18 times and a tale 22 times using his data what is the experimental probabil
    8·1 answer
  • 0.007 is 1/10 as much as
    8·1 answer
  • Holly wants to add an odd number to 659. Which number could possibly be the sum? Choose all answers that are correct. A. 677 B.
    12·1 answer
  • Bob has to pack 192 boxes. This morning, he packed 84 boxes in 3.5 hours. If Bob continues at the same rate, how long will it ta
    15·1 answer
  • A tank contains 1000L of brine with 10kg of dissolved salt. Pure water enters the tank at a rate of 25 L/min. The solution is ke
    11·2 answers
  • If sally eats p candy bars and joe eats 8. There is 56 altogether. What is p equal to?
    9·2 answers
  • What is 1km change to (m)?
    11·1 answer
  • Please answer correctly !!!!! Will mark Brianliest !!!!!!!!!!!!!!
    10·1 answer
  • Pls help me as fast as possible
    6·2 answers
  • Matt bought a 12-pack of water for $10.32. What was the unit rate?
    7·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!