Round to nearest tenth 8 divided by 6.403
2 answers:
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Answer:
a) 40, 50, 55, 57.5
b)
Step-by-step explanation:
h₀ = Initial height of the ball =20
r = Rebound fraction = 0.5
a) The series of bouncing balls is given by
Sₙ=h₀+2h₀(r¹+r²+r³+r⁴.........rⁿ)
S₁=h₀+2h₀r¹=20+2×20×0.5=40
S₂=h₀+2h₀(r¹+r²)=20+2×20×(0.5+0.5²)=50
S₃=h₀+2h₀(r¹+r²+r³)=20+2×20×(0.5+0.5²+0.5³)=55
S₄=h₀+2h₀(r¹+r²+r³+r⁴)=20+2×20×(0.5+0.5²+0.5³+0.5⁴)=57.5
b) General expression for the nth term of the sequence
Answer:
<h2>693 m²</h2>Step-by-step explanation:
This is a parallelogram.
The formula of an area of a parallelogram:
<em>b</em><em> - base</em>
<em>h</em><em> - height</em>
From the graph we have <em>b = 21m</em> and <em>h = 33m</em>.
Substitute: