Answer: 543
Step-by-step explanation:
Given : Level of confidence = 0.98
Significance level :
By using the normal distribution table,
Critical value :
Margin of error :
The formula to find the population proportion if prior proportion of population is unknown :-
Hence, the company survey minimum sample having size =543
Answer:
54 cm
Step-by-step explanation:
The area (A) of an equilateral triangle is
A = ( s is the side length ) then
= 81
( multiply both sides by 4 to clear the fraction )
s² = 324
( divide both sides by
)
s² = 324 ( take the square root of both sides )
s = = 18
Thus
perimeter = 3 × 18 = 54 cm
=======================================
Work Shown:
I'm assuming your teacher meant to say the ramp is 7 meters long and the ramp rises up 4.2 meters. It doesn't make sense the way they phrased it initially since the ramp must be the longest part (it is the hypotenuse of the right triangle).
See diagram below.
The angle of elevation is the angle made between the ramp and the ground. It's the angle amount the ramp tilts upward.
sin(angle) = opposite/hypotenuse
sin(theta) = 4.2/7
sin(theta) = 0.6
theta = arcsin(0.6)
theta = 36.869897645844
theta = 36.9
Note: inverse sine or is the same as arcsine. Make sure your calculator is in degree mode.
