Answer:
theta = 180 -(A +B)
Step-by-step explanation:
The sum of the angles of a triangle is 180
theta + A + B = 180
solve for theta
Subtract ( A + B) from each side
theta +A+B -(A +B) = 180 -(A +B)
theta = 180 -(A +B)
The values of sin (x/2) = 4/√17, cos (x/2) = 1/√17 and tan (x/2) = 4.
<h3>What is Trigonometry?</h3>
Trigonometric ratios are the ratios of the length of sides of a triangle. These ratios in trigonometry relate the ratio of sides of a right triangle to the respective angle.
Here, cos x = -15/17 (given)
we know, cos x = 2cos²x/2 - 1
cos²(x/2) = (cos x + 1)/2
cos²(x/2) = (-15/17 + 1)/2
cos²(x/2) = 1/17
cos (x/2) = 1/√17
then, sin (x/2) = √(1- cos²(x/2))
sin (x/2) = √(1 - 1/17)
sin (x/2) = √16/17
sin (x/2) = 4/√17
and tan (x/2) = sin (x/2) / cos (x/2)
tan (x/2) = 
tan (x/2) = 4
Thus, the values of sin (x/2) = 4/√17, cos (x/2) = 1/√17 and tan (x/2) = 4.
Learn more about Trigonometry from:
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This rule applies to your expression
If all denominators of an expression are equal, simplify by adding the numerators
Thus; (numerators) 4 + 2 + 1 = 7
Simplifying your expression to a fraction of 7/8
Equivalent
Hello!
Firstly, we need to know what the slope-intercept form is. Slope-intercept form is y = mx + b. In this equation, m is the slope and b is the y-intercept.
Our goal here is to find the y-intercept. To find b, we will substitute the slope and the given ordered pair into the slope-intercept equation and solve algebraically.
y = mx + b (substitute the slope and point P)
2 = 2(8) + b (multiply)
2 = 16 + b (subtract 16 from both sides)
b = -14
Therefore, the equation is y = 2x - 14.
Answer:
2. 1080
3. 56
4. $1665
Step-by-step explanation:
2. 1080 (/6), 180 (/6), 30 (/6), 5
3. 4(6 + 8) = 4 x 14 = 56
4. $75 + 30(53) = $75 + 1590 = $1665
