Step-by-step explanation:
(A) Let a triangle be formed with height of pole h, length of base b and angle of elevation 58°. (Due to lack of a figure).
Tan 58° = h / b = 1.6
(B) Let another triangle be formed with height of pole h, length of base (b + 90) and angle of elevation 36°. (Due to lack of a figure).
Tan 36° = h / (b + 90) = 0.72
(C) <u>Simplifying the two equations</u> :
1.6b = 0.72b + 64.8
b = 64.8 / 0.88 = 73.6 m
h (height of pole) = 1.6 * 73.6 = 117.76 m
Answer:
25.2 gallons per week
Step-by-step explanation:
Answer:
Step-by-step explanation:
Number of cows increased=60
Old quality of milk consumed=12.8litres
New Increase in milk consumed=15litres
Therefore the number of cows in the farm if the quality of milk is 1340litres=y
Therefore, 1cow =15litres
y cows= 1340litres
Crossmultiply:
15litres×ycows=1340litres
Make y the subject of formula
y= 1340÷15
y=89.33cows
Therefore,the number of cows on the farm if farmer gets 1340litres of milk would be 89cows.
<em>Answer:</em>
<em>There would be 173,535 lionfish after 6 years.</em>
<em>Step-by-step explanation:</em>
<em>Since lionfish are considered an invasive species, with an annual growth rate of 67%, ya scientist estimates there are 8,000 lionfish in a certain bay after the first year, A) to write the explicit equation for f (n) that represents the number of lionfish in the bay after n years; B) determine how many lionfish will be in the bay after 6 years; and C) if scientists remove 1,200 fish per year from the bay after the first year, determine what is the recursive equation for f (n); the following calculations must be performed:</em>
<em></em>
<em>A)</em>
<em>8000 x 1.67 ^ n = f </em>
<em>B)</em>
<em>8000 x 1.67 ^ 6 = X</em>
<em>8000 x 21.691961596369 = X</em>
<em>173,535.692770952 = X </em>
<em>C)</em>
<em>(8000 - 1200 x 1 ^ n) x 1.67 ^ n = f</em>
<em>Therefore, there would be 173,535 lionfish after 6 years.</em>
-3 = 9C/5 + 32
9C/5 = - 32 - 3
9C/5 = - 35
9C = - 175
C = -175/9
C = - 19.44
