The y-coordinate is 42.
Hexagons have 6 sides. Since the x-coordinate is 7, there are 7 hexagons. 7 hexagons * 6 sides each = 42 sides for the y-coordinate.
14 trout out of 50 total fish. The total amount of fish in the lake is 7500. Let’s make this into a proportion.
14/50=x/7500
x represents how much trout is in the lake, we don’t know yet, but we’ll find out.
First, cross multiply.
14*7500=105000
50*x=50x
Now let’s turn this into an equation.
50x=105000
Divide both sides by 50
50x/50=x
105000/50=2100
x=2100
Out of the 7500 fish in the lake, 2100 were trouts.
<span>1. a sine curve with amplitude 2, and period 4pi radians
</span>
the general equation of the sine curve ⇒⇒ y = a sin (nθ)
where: a is the amplitude and n = 2π/perid
∵ <span>amplitude 2, and period 4pi radians
</span>
∴ y = 2 sin (θ/2)
The correct answer is option D. y = 2 sin (θ/2)
===========================================
<span>2.The period and amplitude of the function ⇒⇒ y = 5 cos 2θ
</span>
<span>comparing with y = a cos nθ
</span>
where : a is the amplitude and n = 2π/period
<span>amplitude = 5 , period = 2π/n = 2π/2 = π
</span>
The correct answer is option B. Period: pi radians: Amplitude:5
============================================================
3. tan (2π/3) = tan 120° = -√3
120° lie in the second quadrant and its reference angle = 180° - 120° = 60°
tan function in the second quadrant is negative
∴ tan 120° = - tan 60 = -√3
The correct answer is C. -sqrt3
=====================================================
4. <span>Tan 5π/6 = tan 150° = -(√3)/3
</span>
150° lies in the second quadrant and its reference angle = 180° - 150° = 30°
tan function in the second quadrant is negative
∴ tan 150° = - tan 30 = -(√3)/3
The correct answer is <span>B.-sqrt3/3</span>
Today is 3/14/17 and where is the content at
-7, -5,-4,0,3
Hope this helps
