The required value of the acute angle x in a right angle triangle is 20. Option A is correct.
Given that
In a right triangle, the acute angles have a relationship,
sin (2x+4) = cos(46)
To determine the value of x
<h3>What are trigonometric equations?</h3>
These are the equation that contains trigonometric operators such as sin, cos.. etc.. In algebraic operation.
sin (2x+4) = cos(46) - - - - - -(1)
Since,
cos(46) = cos (90 - 44)
cos(46) = sin (44)
put it in equation 1
sin (2x+4) = sin (44)
2x + 4 = 44
2x = 44 - 4
2x = 40
x = 20
Thus, the required value of the acute angle x in a right angle triangle is 20. Option A is correct.
Learn more about trigonometry equations here:
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Answer:
(Choice C) C Replace one equation with a multiple of itself
Step-by-step explanation:
Since system A has the equations
-3x + 12y = 15 and 7x - 10y = -2 and,
system B has the equations
-x + 4y = 5 and 7x - 10 y = -2.
To get system B from system A, we notice that equation -x + 4y = 5 is a multiple of -3x + 12y = 15 ⇒ 3(-x + 4y = 5) = (-3x + 12y = 15).
So, (-x + 4y = 5) = (1/3) × (-3x + 12y = 15)
So, we replace the first equation in system B by 1/3 the first equation in system A to obtain the first equation in system B.
So, choice C is the answer.
We replace one equation with a multiple of itself.
Answer:
Therefore the answer is 7
From the law of sines, we have
where 
is the leg we're interested in, 
is the hypothenuse, 
is the angle opposite to , and 
is the angle between and .
So, in the first case, we can use
And in the second excercise, we use
0.618 divided by 1.03 will equal to 0.6
