You stand 100’ from the base of a tower. The tower is 1,058’ tall. What is the angle from where you are standing to the top of t
1 answer:
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Answer:
a) look at the figure
b) i) x = 2.5 , y = 3
ii) x-intercept is 2.333
iii) y-intercept is 2.8
Step-by-step explanation:
a) The points of the graph f(x) = 3+1/2x - 5 are:
f(-5) = 2.9333
f(-4) = 2.923
f(-3) = 2.909
f(-2) = 2.888
f(-1) = 2.857
f(0) = 2.8
f(1) = 2.666
f(2) = 2
f(3) = 4
f(4) = 3.333
f(5) = 3.2
b)
i) to find the vertical asymptotic put the denominator = 0
2x - 5 = 0 ⇒ 2x = 5 ⇒ x = 5 ÷ 2 = 2.5
∴ The equation of the vertical asymptotic is x = 2.5
To find the horizontal asymptotic look at the degree of the numerator and denominator
∵ they are equal f(x) = (6x -14)/(2x - 5) ⇒ 6x ÷ 2x = 3
∴ The equation of the horizontal asymptotic is y = 3
ii) the value of x-intercept means put f(x) = 0
∴3 + 1/2x - 5 = 0 ⇒ 1/2x - 5 = -3 ⇒ -6x + 15 = 1 ⇒ 6x = 14
x = 14/6 = 2.333
iii) The value of y-intercept means x = 0
∴ f(x) = 3 + 1/0 - 5 = 3 + (-0.2) = 2.8
Answer:
The missing angle 'x' is 22.29°.
i.e.
Step-by-step explanation:
Let 'x' be the missing angle of the triangle.
Using the formula
tan x = opp ÷ adjacent
tan x = 30 ÷ 72
tan x = 0.41
Therefore, the missing angle 'x' is 22.29°.
i.e.
Answer:
Step-by-step explanation:
Given , Micheal bought a car for $15,540.
Rate of depreciation = 5% = 0.05 { To convert a percentage into decimal or fraction , we divide it by 100]
The exponential function used to show depreciation in amount or value ina time period of 'x' is given by :-
, where A = Initial value
r= rate of depreciation.
As per given , we have
A= $15,540
r= 0.05
Then , Required function :