Answer:
The height of parallelogram is 51.87 cm
Step-by-step explanation:
Let The height of a parallelogram = a cm
Then
The base of a parallelogram = 3a cm
So by the given condition
3a×a = 897
3a^2 = 897
a^2 = 897/3
a^2 = 299
a = 17.29
So the height of parallelogram = 3×17.29= 51.87 cm
Answer:250 kilometers
Step-by-step explanation:
so it travels 100 kilometers north and another 150 kilometers north so 100+150 is 250 kilometers
The first thing we must do for this case is to calculate the scale factor.
For this, we make the relationship between two parallel sides.
We have then:
Substituting values we have:
We are now looking for the value of AB
We have then:
Substituting values:
Answer:
The scale factor is:
The value of AB is:
e = Euler's constant
e ≈ 2.718281828459045, rounded up e = 2.7183.
A) Determine an equation for the population with respect to the number of years after
2014
, assuming that the population increases at a constant rate.
Solution
The function will be of the form
p
=
a
r
n
, where
a
is the initial population,
r
is the rate of increase,
n
is the time in years and
p
is the population.
p
=
584
,
513
(
1.0002
)
n
b) Using this model, estimate the population of Wyoming in
17
years.
solution
Here,
n
=
17
.
p
=
584
,
513
(
1.002
)
17
p
=
604
,
708
c) Using this model, determine in how many years it will take for the population to exceed
600
,
000
.
