Answer: its b
Step-by-step explanation:
Complete Question
We can calculate EEE, the amount of euros that has the same value as DDD U.S. Dollars, using the equation
E= 17/20 D
a) How many euros have the same value as 1 U.S. Dollar? euros
b) How many U.S. Dollars have the same value as 1 euro? dollars
Answer:
a) 0.85 euros
b) 1.18 dollars
Step-by-step explanation:
The equation is given as:
E= 17/20 D
a) How many euros have the same value as 1 U.S. Dollar? euros
E = 17/20D
D = 1 dollar
Hence:
E = 17/20 × 1
E = 0.85 euros
b) How many U.S. Dollars have the same value as 1 euro? dollars
E = 17/20D
E = 1 euro
1 = 17/20D
D = 1 ÷ 17/20
D = 1 × 20/17
D = 1.1764705882 dollars
D = 1.18 dollars
By definition of tangent,
tan(2<em>θ</em>) = sin(2<em>θ</em>) / cos(2<em>θ</em>)
Recall the double angle identities:
sin(2<em>θ</em>) = 2 sin(<em>θ</em>) cos(<em>θ</em>)
cos(2<em>θ</em>) = cos²(<em>θ</em>) - sin²(<em>θ</em>) = 2 cos²(<em>θ</em>) - 1
where the latter equality follows from the Pythagorean identity, cos²(<em>θ</em>) + sin²(<em>θ</em>) = 1. From this identity we can solve for the unknown value of sin(<em>θ</em>):
sin(<em>θ</em>) = ± √(1 - cos²(<em>θ</em>))
and the sign of sin(<em>θ</em>) is determined by the quadrant in which the angle terminates.
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We're given that <em>θ</em> belongs to the third quadrant, for which both sin(<em>θ</em>) and cos(<em>θ</em>) are negative. So if cos(<em>θ</em>) = -4/5, we get
sin(<em>θ</em>) = - √(1 - (-4/5)²) = -3/5
Then
tan(2<em>θ</em>) = sin(2<em>θ</em>) / cos(2<em>θ</em>)
tan(2<em>θ</em>) = (2 sin(<em>θ</em>) cos(<em>θ</em>)) / (2 cos²(<em>θ</em>) - 1)
tan(2<em>θ</em>) = (2 (-3/5) (-4/5)) / (2 (-4/5)² - 1)
tan(2<em>θ</em>) = 24/7
The answer to the question
Question B) you want to take 0.75, divide it to both sides and you get m= 21 0.75m=15.75 m = 21 ___________ = 0.75
