Distance of A from cliff = 1500·arctan(30°) ≅ 723.5 ft
distance of B from cliff = 723.5+1000√3 ≅ 2455.6 ft
tanθ = 2455.6/1500 = 1.637
θ = arctan(1.637) ≅ 58.6°
angle of depression = 90-θ ≅ 30°
Answer:
1) d. 2400
2) d.4200
Step-by-step explanation:
As per given data:
F(x) represents number of fish
x represents number of weeks
Relation between F(x) and x is given as
F(x)= 500 (1.2)x
Now part 1:
How many fish are in the pond after 4 weeks=?
x=4
Putting in given equation F(x)= 500 (1.2)x
F(x)= 500(1.2)(4)
= 2400
Now part 2:
How many fish are in the pond after 7 weeks?
x=7
Putting in given equation F(x)= 500 (1.2)x
F(x)= 500(1.2)(7)
= 4200 !
Option B
i(x) = 2x - 4 is the equation of the new function
<em><u>Solution:</u></em>
Given that the function h(x) = 2x-9 is translated up 5 united to become a new function, i(x)
To find: Equation of new function
The graph of a function can be moved up, down, left, or right by adding to or subtracting from the output or the input.
Adding to the output of a function moves the graph up
Therefore,
Given function is:
h(x) = 2x - 9
Translated up by 5 units
<em><u>Therefore, new function is:</u></em>
i(x) = h(x) + 5
i(x) = 2x - 9 + 5
i(x) = 2x - 4
Thus Option B is correct
Linear pairs make a supplementary line
Answer: 0.24
Step-by-step explanation:
You have to multiply the percent by its decimal form and then you multiply the decimal by the cost of the meal
