Answer:
y = cot(x - ⅓π) + 2
Step-by-step explanation:
The general equation for a cotangent function with the given properties is
y = Acot(Bx + C) + D, where
A = the stretching factor
π/|B| = the period
C = the phase shift (negative is to the right)
D = the vertical shift
A = 1
π/|B| = π, so1/|B| = 1 and B = 1
C = -⅓π
D = 2
The function is
y = cot(x - ⅓π) + 2
The figure below shows the graph of the function with the given parameters.
Note that the parent function y = cot(x) has the y-axis as an asymptote, so we can measure the phase shift by the movement of the asymptote π units to the right.
Answer:
x = 21.2 ft
Step-by-step explanation:
x = tanФ h
h = 50
Ф = 23°
x = tan(23°) * 50
x = 21.2 ft
Answer:
14 bags
Step-by-step explanation:
Dimension of lawn : 230 feet by 180 feet
area of rectangle is given by length * width
Since lawn is rectangular area of lawn = 230 feet * 180 feet = 41,400 sq. feet
Given that one bag of fertilizer covers 3000 square feet of lawn.
Thus , to find no. of bags required to cover whole lawn will be
total area of lawn/area which one bag of fertilizer covers
no. of bags required to cover whole lawn = 41,400 sq. feet/3000 sq. feet
= 13.8 bags.
As no. of bags cannot be fractional , hence rounding bag to nearest unit place is 14 bags.
Answer:
The correct answer is 0.91
Answer: 565%
Step-by-step explanation: Convert fraction (ratio) 113 / 20 Answer: 565%
