Answer:
376.52 is the volume of the composite figure.
Step-by-step explanation:
Let's break this into two shapes.
A rectangular prism and a hemisphere
Volume Formula for rectangular prism: l • h • w
Volume Formula for hemisphere: (2/3)πr^3
l • h • w
10 • 4 • 8
40 • 8
320
Rectangular Prism: 320
(2/3)πr^3
2/3(3)^3
2/3(3.14)(27)
2.09333333333(27)
56.52
Hemisphere: 56.52
320 + 56.52 = 376.52
If this can be modelled by exponential decay, therefore
the function must be in the form of:
A = Ao (1 + r)^t
where A is the final value, Ao is the initial = 15000, r
is the rate of decay = -0.0015, t is time = 2010 – 1990 = 20
A = 15,000 (1 – 0.0015)^20
A = $14,556.36
Let the base angle be x. If the obtuse angle is two and a half times the base angle, it will be 2.5x. In a triangle, all three angles will add up to 180. The third angle, the other base angle will be equal to x. So the equation will be:
x + x + 2.5x = 180
2x + 2.5x = 180
4.5x = 180
x = 40
If x = 40, then 2.5x = 100
#1: 0.35
#2: 75%
#3: s = 4
#4: 0.08 is greater
#5: 15
#6: t = 20
#7: 2 7/10
#8: 100.06
#9: 0
