Answer:
The volume of the cone in terms of π is 90.31π inches³ to the nearest hundredth.
Step-by-step explanation:
Volume = πr²(h/3) = ?
Height = <em>15 inches</em> (from the diagram)
Find r
since we are given the circumference of the base circle = 8.5π inches => 2πr
∴ 8.5π inches = 2πr
( 8.5π / 2π ) inches = r
<em>4.25 inches</em> = (r) Radius
Now that we have both Height (15 inches) and Radius (4.25 inches), calculate the volume.
Volume = πr²(h/3)
= π * (4.25 inches)² * (15 inches / 3)
= π * 18.0625 inches² * 5 inches
Volume = 90.3125π inches³
Rounding to the nearest hundredth ≅ 90.31π inches³
The slope represents the how fast the bird is climbing and the Y intercept represents where the bird started to climb
Answer: the number of years is 7.3 years
Step-by-step explanation:
We would apply the formula for exponential decay which is expressed as
A = P(1 - r)^ t
Where
A represents the population after t years.
t represents the number of years.
P represents the initial population.
r represents rate of growth.
From the information given,
P = 1250
A = 1000
r = 3% = 3/100 = 0.03,
Therefore
1000 = 1250(1 - 0.03)^t
1000/1250 = (0.97)^t
0.8 = 0.97^t
Taking log of both sides, it becomes
Log 0.8 = tLog 0.97
- 0.0969 = - 0.0132t
t = - 0.0969/- 0.0132t
t = 7.3 years
Answer:
14 18/25 is the answer
Step-by-step explanation:
23/5 x 16/5
23x16
5x5
368/25=14 18/25
