Answer:
Answer in terms of a trigonometric function :
Answer in figures

Step-by-step explanation:
Consider the sketch attached below to better understand the problem.
Let x be the distance between point B and the base of the water tower.


From equation 2,
substituting the value of x into equation 1, we get


cross multiplying,



The height of the tower is
in terms of the trig function "Tan"
The equation can simply be evaluated to get the answer in figures since the angles are given in the question
Answer: 17160 feet
Step-by-step explanation:
We know that 5280 feet = 1 mile
So all we have to do is multiply 3 1/4 by 5280
Let's split the 3 and 1/4 up to make the multiplication easier
3×5280=15840
×5280=
Now add them together
15840+1320=17160
Answer:
1.6 times or 60% more than
Step-by-step explanation:
The question seems to be asking about the growth factor in the given exponential function.
<h3>Exponential function</h3>
A generic exponential function will have the form ...
quantity = (initial value) × (growth factor)^(number of intervals)
Comparing this form to the given formula ...
f(x) = 58 × 1.6^x
we see the "growth factor" is 1.6. This is the multiplier from one interval (year) to the next.
Each year the expected number of birds is <u><em>1.6 times</em></u> the number the year before.
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Additional comment
A <em>growth factor</em> is sometimes expressed in terms of a <em>growth rate</em>, usually a percentage.
growth factor = 1 + growth rate
1.6 = 1 + 0.60 = 1 + 60%
The growth rate of this bird population is 60% per year. Each year, the population is <u>60% more than</u> the year before.
Answer:
Quotient: 2
Remainder: 0
50 = 25 × 2 + 0
Step-by-step explanation: