Answer:
at time, t = 8 seconds and t = 24 seconds Ferris Wheel be 53 feet above the ground
Step-by-step explanation:
Data provided in the question:
height in feet above ground of a seat on the wheel at time t seconds is
modeled as
h(t) = 
now,
at height 53 above the ground, we get the equation as:
53 = 
or
= 53 - 53
or
= 0
also,
sin(0) = 0
and,
sin(π) = 0
therefore,
= 0
or
or
t = 8 seconds
and,
= π
or
or
or
t = 24 seconds
Hence,
the at time, t = 8 seconds and t = 24 seconds Ferris Wheel be 53 feet above the ground
see the attached figure to better understand the problem
we know that
1) If angle 1 and angle 2 are complementary angles
then
m∠1+m∠2=
------> equation A
2) If angle 1 and angle 2 are congruent angles
then
m∠1=m∠2 ------> equation B
Substitute equation B in equation A
m∠1+(m∠1)=
2m∠1=
m∠1=
therefore
<u>the answer is</u>
Answer:
14.2 hectares
Step-by-step explanation:
Fund Mexico, monarch butterflies occupied 1.13 hectares one recent winter, and 4.01 hectares the following winter (one year later)
The formula of Geometric growth
(Pt/ Po)^1/t
Where Pt = Size after t years = 4.01 hectares
Po = Initial size = 1.13
t = times = 1
=( 4.01/1.13 )^1/1
= 3.5486725664
Hence, Geometric growth rate = 3.5486725664.
It's size in hectares after another 1 year = Current size in hectares × Geometric growth rate
= 4.01 ×3.5486725664
= 14.230176991 hectares
≈ 14.2
Answer:
I think that's right. I checked my answer and proved it on that sheet.
The Circumference would be 1256.637 and the diameter would be 400
