<span>The arc length in degrees (same as central angle that cuts it off) is to 360 (degrees in a circle) AS the arc length in linear measure is to the circumference of the circle (2 pi r).
90/360 = AL/[2 pi (85)] where AL is the arc length in linear measure.
1/4 = AL/[170 pi]
4 AL = 170 pi
AL = 42.5 pi
AL = 133.45 feet (approx)
I hope your satisfied with my answer in feel free to ask for more
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Let the numbers = x,y
x+y = 56 1st eqn
x+5y = 192 2nd eqn
56-y+5y = 192
4y = 136
y = 34
substitute that in 1st eqn, x = 56-34 = 22
So, smaller number = 22 & Larger number = 34
Answer:
Denote O as center of circle, draw OA, OC.
As property of tangent line from outside of circle (angle OAD = angle OCD = 90 deg):
=> AOC + D = 180
Moreover, angle AOC = 2 x angle B = 2 x 65 = 130
=> D = 180 - 130 = 50 deg
Hope this helps!
:)
The median ( Q2 ) divides the data set into two parts, the upper set and the lower set. The lower quartile ( Q1 ) is the median of the lower half, and the upper quartile ( Q3 ) is the median of the upper half. Example: Find Q1 , Q2 , and Q3 for the following data set, and draw a box-and-whisker plot.
First step: you have to plug in 6y+3 into the equation and solve
Example: 6y+3+2y = 5
