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Yuri [45]
1 year ago
15

Use trigonometric identities, algebraic methods, and inverse trigonometric functions, as necessary, to solve the following trigo

nometric equation on the interval [0, 27).Round your answer to four decimal places, if necessary. If there is no solution, indicate "No Solution."Scos(x) - 5 = 0

Mathematics
1 answer:
uranmaximum [27]1 year ago
6 0

we have the function

5\cos x-5=0

Rewrite

\begin{gathered} 5\cos x=5 \\ \cos x=\frac{5}{5} \\ \cos x=1 \end{gathered}

The domain for x is the given interval [0,2pi) ----> 2pi is not included

the values of x are

x=0 radians

<h2>The solution is x=0</h2>
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Student A has a probability of 0.9 of solving a problem while student B has a probability of 0.6 of solving the problem. What is
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answer

0.54

explanation

since student A and student B are independent of each other, we multiply their individual probabilities to get the probability of both solving the problem

A * B

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there is a 0.54 probability that both will solve the problem

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It's A

11-5=6
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3 years ago
Find the equation for the line that passes through the point (1,-3) and that is parallel to the line with the equation 3/2x-2y=-
kondaur [170]

The equation for the line that passes through the point (1,-3) and that is parallel to the line with the equation \frac{3}{2}x - 2y = \frac{-17}{2} is:

y = \frac{3}{4}x - \frac{15}{4}

<h3><u>Solution:</u></h3>

Given that line that passes through the point (1, -3) and that is parallel to the line with the equation \frac{3}{2}x - 2y = \frac{-17}{2}

We have to find equation of line

<em><u>The slope intercept form is given as:</u></em>

y = mx + c

Where "m" is the slope of line and "c" is the y-intercept

Let us first find slope of line containing equation \frac{3}{2}x - 2y = \frac{-17}{2}

\frac{3}{2}x - 2y = \frac{-17}{2}

Rearrange the above equation into slope intercept form

\frac{3x}{2} + \frac{17}{2} = 2y\\\\y = \frac{3x}{4} + \frac{17}{4}

On comparing the above equation with slope intercept form y = mx + c,

m = \frac{3}{4}

So the slope of line containing equation \frac{3}{2}x - 2y = \frac{-17}{2} is m = \frac{3}{4}

We know that slopes of parallel lines are equal

So the slope of line parallel to line having above equation is also m = \frac{3}{4}

<em><u>Now let us find the equation of line having slope m = 3/4 and passes through point (1 , -3)</u></em>

Substitute m = \frac{3}{4} and (x, y) = (1 , -3) in slope intercept form

y = mx + c

-3 = \frac{3}{4}(1) + c\\\\c = -3 - \frac{3}{4}\\\\c = \frac{-15}{4}

<em><u>Thus the required equation of line is:</u></em>

substitute m = \frac{3}{4} and c = \frac{-15}{4} in slope intercept form

y = \frac{3}{4}x + \frac{-15}{4}\\\\y =\frac{3}{4}x - \frac{15}{4}

Thus the equation of line is found out

3 0
3 years ago
Scores on an English test are normally distributed with a mean of 30.6 and a standard deviation of 6. Find the score that separa
Travka [436]

Answer:

The score that separates the top 59% from the bottom 41% is 31.68

Step-by-step explanation:

3 0
3 years ago
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