Sin and cos are related by the following identity:
sin (90 - θ) = cos(θ)
The value of θ in the given case is 48, so the equation becomes:
sin(90 - 48) = cos(48)
sin (42) = cos(48)
Thus, in the given question value of <span>ø will be 42 degrees.</span>
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Answer:
x = {-0.44, 1.69}
Step-by-step explanation:
Multiply by the denominator to eliminate the fraction.
3 = x(4x -5)
4x^2 -5x -3 = 0 . . . . . subtract 3 and put in standard form
Using the quadratic formula with a=4, b=-5, c=-3, we have the solutions as ...
Solutions rounded to hundredths are ...
x = -0.44
x = 1.69
_____
A graphing calculator can show the x-intercepts easily, so it works well to write the equation in the form
f(x) = 0
3/(4x -5) -x = 0
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Answer:
Option D. No solution
Step-by-step explanation:
<u>We have the equation of a line:
</u>
We find their cut points.
<em>Cut point with the y axis. (x = 0)
</em>
<em>Cut point with the x axis. (y = 0)
</em>
.
The line cuts to the x-axis at and cuts the y-axis at
<u>We have a parabola
</u>
We can factor this quadratic equation by looking for 2 numbers that when multiplied give as result -3 and that when adding these numbers as a result -2. These numbers are -3 and 1.
Then the factors are:
The zeros are 3 and -1. So <em>the parabola cuts to the x axis at points </em><em>3</em><em> and</em><em> -1</em><em>.
</em>
<em>Now we find the cut points with the y axis. (x = 0)
</em>
<em>The parabola cuts to the axis y in y = -3.
</em>
Now we can graph the line and the parabola. Observe the attached image.
<em>The system has no solution because the line and the parabola never intersect or touch each other. The answer is the option D</em>