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➷ A variable is an unknown number that is represented by a letter, for example, x.
It is usually found in an algebraic expression.
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TROLLER
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.
<em />
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
Which is the most appropriate to describe a quantity decreasing at a steady rate?
With a linear equation.
Answer:
267.947 cm^{3} of gel is required to fill the plastic ball.
Step-by-step explanation:
<em>The radius of the ball is given as 4 cm.</em>
<em>The gel is filled in the plastic ball, that means the gel occupies the volume of the radius.</em>
The volume of the sphere is given by the formula,
, the R is the radius of sphere.
Thus, the volume of gel required to fill the plastic ball to make it stress ball is
267.947 cm^{3} of gel.
Answer:
15%
Step-by-step explanation:
Find the percent of profit by dividing 45 by 300:
45/300
= 0.15
So, the percent profit was 15%
