Answer:
373,952 dollars
Step-by-step explanation:
375/1,0028
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
Answer:
7.74cm ^2
Step-by-step explanation:
a=pie * r ^2
3.14*3^2=3.14*9=28.26 then you know all sides of a square are equal and 3 is half of 1 side so 6*6-=36 36-28.26=7.74
Answer:
7.5 ft
Step-by-step explanation:
divide 5 by 2 -- 5 ÷ 2 = 2.5
now multiply 2.5 by 3 -- 2.5 × 3 = 7.5
Answer:
The population is decaying at a rate of 11% per minute.
Step-by-step explanation:
We have that € is the inicial sample of algae cells, and f(t) shows the sample after t minutes.
As € is multiplied by a number between 0 and 1, that means the sample will decrease it's size as the time passes.
The inicial sample is €, and after 1 minute the sample will be 0.89€, that is, it will decrease by 0.11€ or 11% of the previous sample.
So the correct option is:
The population is decaying at a rate of 11% per minute.
