Answer:
3.5 cm
Step-by-step explanation:
In the picture attached, circle M is shown.
From the picture, minor arc JH measures 25°.
The length of the circle is π*Diameter = π*16 = 50.26 cm. This length is proportional to 360°. To find the length of minor arc JH, we have to use the next proportion:
50.26 cm / x cm = 360° / 25°
x = 50.26*25/360
x = 3.5 cm
Answer:
.
Step-by-step explanation:
A point of the form belongs to the graph of this function,
, if and only if the equation of this function holds after substituting in
and
.
The question states that the point belongs to the graph of this function. Thus, the equation of this function,
, should hold after substituting in
and
:
.
.
Solve this equation for the constant :
.
Thus, .
Answer:
18d - 24c
Step-by-step explanation:
(see attached for reference)
6(3d - 4c) (use distributive property as per attached)
= 6(3d) - 6(4c)
= 18d - 24c (answer)
hope this helps
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