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
fomenos
4 years ago
11

What is the cosine if the sine=√5÷6

Mathematics
1 answer:
qwelly [4]4 years ago
7 0

Answer:

cosine =  √31/6

Step-by-step explanation:

It is given that,

sine=√5/6

we know that, sine = opposite side/Hypotenuse

<u>To find Adjacent side</u>

Adjacent side = √(Hypotenuse² - opposite side²)

Adjacent side =√(6² - √5² ) = √(36 - 5 ) = √31

<u>To find cosine</u>

cosine = Adjacent side/Hypotenuse

cosine =  √31/6

You might be interested in
Use the distributed property to simplify the expression 6(x+4)+1
valkas [14]

Answer:

6x + 25

Step-by-step explanation:

6(x + 4) + 1

6x + 24 + 1

6x + 25

4 0
3 years ago
Read 2 more answers
The National Transportation Safety Board publishes statistics on the number of automobile crashes that people in various age gro
ra1l [238]

Answer:

a) Null hypothesis:p\leq 0.12  

Alternative hypothesis:p > 0.12  

b) z_{\alpha}=1.64

c) z=\frac{0.134 -0.12}{\sqrt{\frac{0.12(1-0.12)}{1000}}}=1.362  

d) p_v =P(z>1.362)=0.0866  

e) For this case since the statistic is lower than the critical value and the p value higher than the significance level we have enough evidence to FAIL to reject the null hypothesis so then we don't have information to conclude that the true proportion is higher than 0.12

Step-by-step explanation:

Information given

n=1000 represent the random sample selected

X=134 represent the number of young drivers ages 18 – 24 that had an accident

\hat p=\frac{134}{1000}=0.134 estimated proportion of young drivers ages 18 – 24 that had an accident

p_o=0.12 is the value that we want to verify

\alpha=0.05 represent the significance level

Confidence=95% or 0.95

z would represent the statistic

p_v{/tex} represent the p valuePart aWe want to verify if the population proportion of young drivers, ages 18 – 24, having accidents is greater than 12%:  Null hypothesis:[tex]p\leq 0.12  

Alternative hypothesis:p > 0.12  

The statistic would be given by:

z=\frac{\hat p -p_o}{\sqrt{\frac{p_o (1-p_o)}{n}}} (1)  

Part b

For this case since we are conducting a right tailed test we need to find a critical value in the normal standard distribution who accumulates 0.05 of the area in the right and we got:

z_{\alpha}=1.64

Part c

For this case the statistic would be given by:

z=\frac{0.134 -0.12}{\sqrt{\frac{0.12(1-0.12)}{1000}}}=1.362  

Part d

The p value can be calculated with the following probability:

p_v =P(z>1.362)=0.0866  

Part e

For this case since the statistic is lower than the critical value and the p value higher than the significance level we have enough evidence to FAIL to reject the null hypothesis so then we don't have information to conclude that the true proportion is higher than 0.12

8 0
3 years ago
1,500,000,000 in scientific notation
timama [110]
1.5 times 10 to the 9th
7 0
3 years ago
Read 2 more answers
Which number make this sentence true 27:45=45:x​
PSYCHO15rus [73]

Answer:

x = 75

Step-by-step explanation:

We can write this as a proportion

27            45

--------- = --------

45            x

We can use cross products to solve

27 x = 45 *45

Divide each side by 27

27 x/27 = 45*45 /27

x = 75

5 0
3 years ago
Read 2 more answers
How to convert 655.575 to word form?
Leni [432]
Six hundred fifty five thousand five hundred seventy five

6 0
3 years ago
Other questions:
  • URGENT TEST PLEASE HELP
    14·2 answers
  • Which of the following statements is true? A. Vertical angles are always complementary. B. Vertical angles are always supplement
    6·2 answers
  • In a art class, there are 32 pens to 40 brushes what is the ratio of pens to brushes written as a fraction in simplest form ?
    7·1 answer
  • After a researcher adds 5 points to every score in a sample, the standard deviation is found to be s = 10. the original sample h
    10·1 answer
  • What is the measure of POR?<br><br>​
    11·1 answer
  • In a quadratic equation: Solve -2x^2+18=7x &amp; Solve x^2+5x+6
    15·1 answer
  • 2x + 7 &gt; 11<br> Please and thank you
    10·1 answer
  • What is the solution set for -4X –10 &lt; 2?<br> A X &lt;-3<br> B x&gt;-3<br> C X&lt;2<br> DX&gt; 2
    6·2 answers
  • There are 12 red apples and 18 green apples. Which is the ratio of green apples to the total number of apples?
    14·1 answer
  • 6.702 rounded to 3 dp
    9·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!