Answer:
Length of arc between two cars = 7 feet (Approx.)
Step-by-step explanation:
Given:
Radius of carinal wheel = 18 feet
Number of car equal distance = 16
Find:
Length of arc between two cars
Computation:
Angle between two cars = 360 / 16
Angle between two cars = 22.5°
Length of arc = [θ/360][2πr]
Length of arc between two cars = [22.5/360][(2)(3.14)(18)]
Length of arc between two cars = [0.0625][(6.28)(18)]
Length of arc between two cars = [0.0625][113.04]
Length of arc between two cars = 7.0625
Length of arc between two cars = 7 feet (Approx.)
This rule is applied to triangles to determine the unknown sides and angles. The value of x from the diagram is 11.78m
<h3>Trigonometry rule</h3>
This rule is applied to triangles to determine the unknown sides and angles.
Given the following parameter
Opposite = 5m
Adjacent = x
angle = 23 degrees
According to the theorem of tangents
tan23 = opposite/adjacent
tan23 = 5/x
x = 5/tan23
x = 11.78m
Hence the value of x from the diagram is 11.78m
Learn more on trig identity here: brainly.com/question/7331447
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Answer:
C
Step-by-step explanation:
Longest practice is 2 1/2 hours long
Shortest is 1 1/4 hours long
For difference, subtract 1 1/4 from 2 1/2
Convert mixed to improper fractions
(2*2+1)/2 - (1*4+1)/4
5/2 - 5/4
10/4 - 5/4 = 5/4
Change back to mixed fraction
1 1/4