Mel moves 50-35=15 feet in 5-2=3 seconds. Descent rate=15/3=5 ft/sec.
Victor moves 60-50=10 feet in 4-1=3 seconds. Descent rate=10/3=3⅓ ft/sec. Mel is faster at 5 ft/sec.
We know that the angles of a triangle sum to 180°. For ΔABC, this means we have:
(4x-10)+(5x+10)+(7x+20)=180
Combining like terms,
16x+20=180
Subtracting 20 from both sides:
16x=160
Dividing both sides by 16:
x=10
This means ∠A=4*10-10=40-10=30°; ∠B=5*10+10=50+10=60°; and ∠C=7*10+20=70+20=90.
For ΔA'B'C', we have
(2x+10)+(8x-20)+(10x-10)=180
Combining like terms,
20x-20=180
Adding 20 to both sides:
20x=200
Dividing both sides by 20:
x=10
This gives us ∠A'=2*10+10=20+10=30°; ∠B'=8*10-20=80-20=60°; and ∠C'=10*10-10=100-10=90°.
Since the angle are all congruent, ΔABC~ΔA'B'C' by AAA.
We have that
Profit margin is calculated by finding the net profit as a percentage of the revenue
Profit margin = [Net profit / Revenue]
Net profit= [Revenue-Cost]
we know that
Revenue = $16.25 million
Cost = $13.5 million + $2.7 million
Net profit = [16.25 million - (13.5 million + 2.7 million)]
Net profit = $0.05 million
Profit margin = 0.05 / 16.25
Profit margin = 0.003077 or 0.3077%
<h3><u>Radius as function of volume is:</u></h3>
<em><u>Solution:</u></em>
<em><u>The volume of cone is given as</u></em>:
Where,
r is the radius
h is the height
From given,
height = 20 inches
From formula,
Rearrange , so that r is alone in left side of equation
Substitute h = 20
Thus, radius as function of volume is:
