Step-by-step explanation:
The area of a circle is given by :
A = πr²
r is the radius of the circle
(4) Diameter = 22 cm
Since, radius = diameter/2
r = 11 cm
Now, area of the circle,
(5) Diameter = 30 cm
Since, radius = diameter/2
r = 15 cm
Now, area of the circle,
(6) Diameter = 4cm
Since, radius = diameter/2
r = 2 cm
Now, area of the circle,
So, the area of circles 4,5 and 6 are 380.13², 706.85² and 12.56² respectively.
Answer:
(3x+1)^2
Step-by-step explanation:
Answer: it will trave 56.89 meters before coming to rest.
Step-by-step explanation:
This is a geometric progression since the distance travelled (height) by the ball is reducing by a constant ratio, r. Since the number of times that the ball will bounce is infinite, then we would apply the formula for determining the sum of the terms in a geometric progression to infinity which is expressed as
S = a/(1 - r)
where
S = sum of the distance travelled by the ball
a = initial distance or height of the ball
r = common ratio
From the information given,
a = 128/9
r = (32/3)/(128/9) = 0.75
Therefore,
S = (128/9)/(1 - 0.75) = 56.89 meters
Answer:
The profit of the company will be $224.85
Step-by-step explanation:
Let the equation of profit be termed as E(x)
we are given
amount of purchasing the policy (let a)= $1000
probability that women will live for at least 1 year (let b) = 0.9581
amount lost by insurance company if the women dies (let c) = 18,500-1000 = 17,500
the probability woman dies within one year (let d) = 1-0.9581=0.0419
the equation will be
E(x) of profit= a*b - c*d = 1000*0.9581 - 17500*0.0419
= 958.1 - 733.25
= 224.85
Answer:
Far left: constant of proportionality= 3.4
Middle: q=12----COP=3
Far right: COP=4----not proportional
