Answer: The flagpole is about 22.3 feet tall.
This is roughly the size of a two story building, assuming each floor is 10 feet or so.
Since this height is under 25 ft, this flagpole is in compliance with the regulation.
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Work Shown:
The horizontal leg of the triangle is 36 ft. This is the adjacent leg to the reference angle 25 degrees.
The vertical leg of the triangle is x-5.5, and this leg is the opposite side to the reference angle 25 degrees.
Use the tangent rule to connect the opposite and adjacent sides.
Solve for x.
tan(angle) = opposite/adjacent
tan(25) = (x-5.5)/36
36*tan(25) = x-5.5
x-5.5 = 36*tan(25)
x = 36*tan(25)+5.5
x = 22.28707569358
x = 22.3 ft is the approximate height of the flagpole
Make sure your calculator is in degree mode.
The height is not over 25 ft, so this flagpole meets the requirements.
Answer:
150
Step-by-step explanation:
Solve for x or y or 1
solving for y
divide both sides by x
y=25/x
not a line because x has t ohave exponent of 1, this one is y=25x^-1
ok, solve for something else
solve for 1
xy/25=1
this doesn't fit into the standard forms of any of the conic sections
if we were to subsitute points we would see it is a hyperbola that is diagonal with the x and y axises as assemtots
it is a hyperbola
Answer:
a) 25
b) 49
c) 97
Step-by-step explanation:
The sample size is calculated using the formula, n = 
Now,
for 95% confidence level value of z-factor = 1.96
Given:
Mean = $3.94
standard deviation = $0.25
thus,
a) for margin of error = $0.10
n =
or
n = 
or
n = 4.9²
or
n = 24.01 ≈ 25 (Rounded off to next integer)
b) for margin of error = $0.07
n =
or
n = 
or
n = 7²
or
n = 49
c) for margin of error = $0.05
n =
or
n = 
or
n = 9.8²
or
n = 96.04 ≈ 97 (Rounded off to next integer)
