Answer:
Step-by-step explanation:
Coin 1 = quarter
Coin 2 = dine
Coin 3 = penny
Fifty-five, 23+22, 50 + 5? IDK if that helps.
Answer:
x= 3
Step-by-step explanation:
8x - 9 =15
+9 on both sides
8x = 15 + 9
Add 15 and 9 to get 24
8x = 14
Divide 8 by both sides
x = 3
The half-angle formula for tangent is:
tan(a/2) = (sin a / (1 + cos a)) = ((1 - cos a) / sin a)
Now we can plug in values:
tan(5π/8) = (sin(5π/4) / (1 + cos(5π/4)) = ((1 - cos(5π/4)) / sin(5π/4)
tan(5π/8) = (-√2/2) / (1 + (-√2/2)) = (1 - (-√2/2)) / (-√2/2)
tan(5π/8) = ((-√2/2)) / ((2 - √2)/2) = ((2 + √2)/2) / (-√2/2)
Now we can solve the first half:
(-√2/2)(2 / (2 - √2))
(-√2/2)((4 + 2√2) / 2)
(-√2/2)(2 + √2)
(-2√2 - 2)/2
-√2 - 1
tan(5pi/8) = -√2 - 1