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
kotykmax [81]
3 years ago
12

Which proportion could be used to find the length of side b?​

Mathematics
2 answers:
Goshia [24]3 years ago
8 0

Answer:

B

Step-by-step explanation:

Using the Sine Rule in ΔABC

\frac{a}{sinA} = \frac{b}{sinB} = \frac{c}{sinC}

∠C = 180° - (82 + 58)° = 180° - 140° = 40°

Completing values in the above formula gives

\frac{a}{sin58} = \frac{b}{sin82} = \frac{8.4}{sin40}

We require a pair of ratios which contain b and 3 known quantities, that is

\frac{b}{sin82} = \frac{8.4}{sin40}

OR

\frac{sin40}{8.4} = \frac{sin82}{b} → B

Zepler [3.9K]3 years ago
4 0

Answer:

B!

Step-by-step explanation:

You might be interested in
For the following hypothesis test, H0: μ ≥ 150Ha: μ < 150​the test statistic a. must be positive. b. must be negative. c. can
Virty [35]

Answer:

t=\frac{\bar X-\mu_o}{\frac{s}{\sqrt{n}}} (1)      

t-test: "Is used to compare group means. Is one of the most common tests and is used to determine if the mean is (higher, less or not equal) to an specified value".  

And since we are conducting a lower unilateral lest  then we expected that the value for the statistic would be negative. And the correct answer would be:

b. must be negative

Step-by-step explanation:

Data given and notation      

\bar X represent the sample mean    

s represent the standard deviation for the sample      

n sample size      

\mu_o =150 represent the value that we want to test    

\alpha represent the significance level for the hypothesis test.    

t would represent the statistic (variable of interest)      

p_v represent the p value for the test (variable of interest)  

State the null and alternative hypotheses.      

We need to conduct a hypothesis in order to determine if the mean is lower than 150, the system of hypothesis would be:      

Null hypothesis:\mu \geq 150      

Alternative hypothesis:\mu < 150      

We don't know the population deviation, so for this case is better apply a t test to compare the actual mean to the reference value, and the statistic is given by:      

t=\frac{\bar X-\mu_o}{\frac{s}{\sqrt{n}}} (1)      

t-test: "Is used to compare group means. Is one of the most common tests and is used to determine if the mean is (higher, less or not equal) to an specified value".  

And since we are conducting a lower unilateral lest  then we expected that the value for the statistic would be negative. And the correct answer would be:

b. must be negative

7 0
3 years ago
-25 Points-
Over [174]

\bf ~\hspace{5em} \textit{ratio relations of two similar shapes} \\\\ \begin{array}{ccccllll} &\stackrel{\stackrel{ratio}{of~the}}{Sides}&\stackrel{\stackrel{ratio}{of~the}}{Areas}&\stackrel{\stackrel{ratio}{of~the}}{Volumes}\\ \cline{2-4}&\\ \cfrac{\stackrel{similar}{shape}}{\stackrel{similar}{shape}}&\cfrac{s}{s}&\cfrac{s^2}{s^2}&\cfrac{s^3}{s^3} \end{array}~\hspace{6em} \cfrac{s}{s}=\cfrac{\sqrt{Area}}{\sqrt{Area}}=\cfrac{\sqrt[3]{Volume}}{\sqrt[3]{Volume}} \\\\[-0.35em] \rule{34em}{0.25pt}

\bf \cfrac{s}{s}=\cfrac{\sqrt[3]{8}}{\sqrt[3]{125}}\implies \cfrac{s}{s}=\cfrac{2}{5}\qquad \leftarrow \textit{ratio of the sides or scale factor}

8 0
3 years ago
Which diagram could be used to prove<br> ABC - ADEC using similarity transformations?
Simora [160]

Answer:

the answer is C

Step-by-step explanation:

8 0
3 years ago
4(2x + 2) + 12 &gt; 100
Komok [63]

Answer:

x > 10

Step-by-step explanation:

4(2x + 2) + 12 > 100

4(2x + 2) > 100 -12

4(2x + 2) > 88

2x + 2 > 22

2x> 22-2

2x > 20

x > 10

3 0
3 years ago
What is −3 × 6 − 8 ÷ 4? <br><br> Answer in numbers.
yuradex [85]

Answer:

-20

Step-by-step explanation:

7 0
3 years ago
Read 2 more answers
Other questions:
  • Pls help only today
    6·2 answers
  • a driver dove to a location 6 3/5 meters below sea level he then dove to a second location 8 1/5 meters below sea level how many
    8·1 answer
  • Find BC, Round to the nearest tenth
    12·1 answer
  • What is the value of x?
    6·2 answers
  • A bird caught a fish on the waters surface and flew in a straight line diagonal to the water for 100 yards. Then, it dropped the
    13·2 answers
  • Where are my fellow Bi Queens/Kings???&lt;333
    11·1 answer
  • In a sale, all normal prices are reduced by 15%
    15·1 answer
  • Help me with this please.
    8·2 answers
  • Whats 2 plus 2? Whats 10 plus 10? And whats 8 plus 8?
    6·2 answers
  • Convert.<br> pints = 61 quarts
    15·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!