Step-by-step explanation:
the answer is $1,145.39
Answer:
option-B
Step-by-step explanation:
we are given
<H and <X are supplementary angles
so,
<H+<X=180
we know that
<H and <E are vertically opposite angles
so, they must be equal
<H=<E
we can plug it
<E+<X=180
It means that angle(E) and angle(X) are supplementary angles
and these two angles are same side interior angles
By using same side interior angles converse
so, line(l) and line(n) must be parallel
so, option-B
Answer:
i) sin(2x) = 
ii) cot(x+360) = 
iii) sin(x-180) = 
Step-by-step explanation:
sec(x) = 2
Since cos(x) is reciprocal of sec(x), this means:
cos(x) = 
cosec(x) is negative , this means sin(x) is also negative. The only quadrant where cos(x), sec(x) are positive and sin(x), cosec(x) are negative is the 4th quadrant. Hence the terminal arm of the angle x is in 4th quadrant.
Part i)
sin(2x) can be simplified as:
sin(2x) = 2 sin(x) cos(x)
First we need to find the value of sin(x). According to Pythagorean identity:

Since, angle is in 4th quadrant, sin(x) will be negative. So considering the negative value of sin(x) and substituting the value of cos(x), we get:

So,

Part ii)
We have to find cot(x + 360)
An addition of 360 degrees to the angle brings it back to the same terminal point. So the trigonometric ratios of the original angle and new angle after adding 360 or any multiple of 360 stay the same. i.e.
cot(x + 360) = cot(x)

Using the values, we get:

Part iii)
We need to find the value of sin(x - 180)
sin(x - 180) = - sin(x)
Addition or subtraction of 180 degrees changes the angle by 2 quadrants. The sign of sin(x) becomes opposite if the angle jumps by 2 quadrants. For example, sin(x) is positive in 1st quadrant and negative in 3rd quadrant.
So,
sin(x - 180) = 
The number of beads that are gold is 35.
<h3>How many gold beads are there?</h3>
Percentage can be described as a fraction out of an amount that is usually expressed as a number out of hundred.
Number of gold beads = percentage of gold beads x total number of beads
70% x 50
0.7 x 50 = 35
To learn more about percentages, please check: brainly.com/question/25764815
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