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
Juliette [100K]
1 year ago
3

Hi, can you help to solve the exercise #13 please!!

Mathematics
1 answer:
Nezavi [6.7K]1 year ago
7 0

Answer:

x=39\text{ degrees}

Step-by-step explanation:

This problem can be approached using trigonometric ratios, which are represented by:

Therefore, for an opposite side equals to 4 and adjacent equal to 5:

\begin{gathered} \tan (x)=\frac{4}{5}_{} \\ x=\tan ^{-1}(\frac{4}{5}) \\ x=38.6\text{ } \\ \text{Rounding:} \\ x=39\text{ degrees} \end{gathered}

You might be interested in
What is the least, greatest, median, lower Q, and upper Q for the CHESS CLUB?
pshichka [43]
Least: 8
Greatest: 18
Median: 14
LQ: 11
UQ: 15
3 0
3 years ago
Read 2 more answers
Help me please<br> NO BOTS!!
Aneli [31]

Answer:

True

Step-by-step explanation:

Square root is a number that can be multiplied by itself , 8 × 8 is 64 , making it true.

5 0
1 year ago
If w = 2, x = 3, y = 5, and z = 6 then evaluate the expression: z/2
galina1969 [7]

Answer:

3

Step-by-step explanation:

To evaluate the expression, we have to substitute the variable in the expression, z, for its stated value. Given that z = 6, substitute 6 for the z in the expression and solve:

\frac{z}{2} \\= \frac{6}{2} \\= 3

Thus, the answer is 3.

7 0
3 years ago
The data below were obtained from an experiment were participants were given drinks with or without caffeine and then asked to t
Black_prince [1.1K]

Answer:

The  95% confidence interval is  244.26  <  \mu < 246.95  

The pivot function used is  

           t = \frac{\=x - \mu}{ \frac{\sigma}{\sqrt{n} } }

Step-by-step explanation:

From the question we are told that

  The  data given is 246 242 248 245 250 244 252 248 248 247 250 248 246 242 248 244 245 246 250 242

  The  sample  size is  n=  20

   

Given that the confidence level is 95% then the level of significance is

      \alpha = (100 - 95)\%

      \alpha =  0.05

The  degree of freedom is mathematically represented as

    df =  20 -1

    df =  19

From the student t-distribution table  the critical value of  \frac{\alpha }{2}  is  

          t_{\frac{\alpha }{2} ,  19 } =  2.093

The mean is mathematically represented as

          \= x  = \frac{\sum x_i}{ n}

         \= x  = \frac{246+ 242 +248+245+ 250+ 244+252+ 248 +248 +247+ 250+ 248+ 246+ 242 +248 +244 +245 +246+ 250+ 242}{20}\= x  =  246.6

The standard deviation is mathematically represented as

            \sigma  = \sqrt{\frac{\sum (x_i -  \= x )^2)}{n} }

           \sigma  = \sqrt{\frac{(246- 246.6)^2 +(242- 246.6)^2 +(248- 246.6)^2 + (248- 245)^2+}{20} } \ ..

             \ ...\sqrt{\frac{(250-246.6 )^2+ (244- 246.6)^2+(252- 246.6)^2+ (248- 246.6)^2+ (248- 246.6)^2+}{20} } \ ...

              \ ..\sqrt{\frac{(247- 246.6)^2+ (250- 246.6)^2+ (248-246.6)^2+ (246-246.6)^2+  (242-246.6)^2+  (248-246.6)^2+ (244-246.6)^2+}{20} } \ ...       \sqrt{\frac{ (245-246.6)^2+  (246-246.6)^2+ ( 246-246.6)^2 + ( 250-246.6)^2+ ( 242-246.6)^2 +( 246-246.6)^2+ ( 242-246.6)^2 }{20} }\sigma =  2.87411

The margin of error is mathematically represented as

       E =  t_{\frac{\alpha }{2} , 19} *  \frac{\sigma }{\sqrt{n} }

      E =  2.093 *  \frac{2.87411 }{\sqrt{20} }

      E =  1.345

The 95% confidence interval is mathematically represented as

       \= x  -  E  <  \mu < \= x  +  E

=>   245.6 - 1.345  <  \mu

=>    244.26  <  \mu < 246.95  

The pivot function used is  

           t = \frac{\=x - \mu}{ \frac{\sigma}{\sqrt{n} } }

     

8 0
4 years ago
What is the equation of the midline of the sinusoidal function? Enter your answer in the box.
belka [17]

The equation of the midline of the sinusoidal function is y =0.

We have to determine

What is the equation of the midline of the sinusoidal function?

<h3>The midline of the sinusoidal function;</h3>

The mid-line of any Sinusoidal function is a line that goes between the highest and lowest values of y of that function.

Here we will take the middle value of y.

The formula is used to find midline is;

\rm Mid-line=\dfrac{Highest \ value + Lowest \ value}{2}

In the given graph, the Highest value of the function is 5 and the Lowest value of the function is -5.

Substitute all the values in the formula;

\rm Mid-line=\dfrac{Highest \ value + Lowest \ value}{2}\\\\\rm Mid-line=\dfrac{5+(-5)}{2}\\\\Mid-line =\dfrac{0}{2}\\\\Mid-line =0

Hence, The equation of the midline of the sinusoidal function is y =0.

Learn more about Sinusoidal Function here:

brainly.com/question/12078395

4 0
3 years ago
Other questions:
  • 4. A<br> is an algebraic expression made by<br> adding or subtracting terms.
    9·1 answer
  • a typical human stomach can hold up to 4 cups of food write an inequality to represent how many cups of food a stomach can hold
    12·2 answers
  • What is 1/3 into a decimal?
    6·2 answers
  • Will mark brainliest :)
    5·1 answer
  • Subtract 11/14-2/7?Make sure your answer is fully reduced.​
    5·1 answer
  • How are the figures similar?Explain
    15·1 answer
  • Simplify:<br> 49 - 4 x 49 ÷ 7<br><br><br> 21<br> 34<br> 36
    9·2 answers
  • Solve forn. (7^2)^4=n^8​
    7·2 answers
  • Write an inequality that represents the verbal expression. 9 less than a number n is less than 17
    6·1 answer
  • If x,y are in inverse proportion then complete the following table x= 42 y=-15 , x=30 y=-----
    8·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!