There are 200 seats on the Boeing 747 flight from Dallas to Houston. Assume that the number of passengers who buy tickets but do
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to find the point, find the location
realize that the shortest line that crosses through the origin and y=9x+8 is perpendicular to y=9x+8
perpendicular lines have slopes that multiply to get -1
y=9x+8 has a slope of 9
9*m=-1, m=-1/9
the slope of the mystery line is -1/9
since it passes through the origin, the y intercept is 0
y=(-1/9)x is the equation of the line from the point to the origin
find the intersection of this line and the original line
set them equal to each other
(-1/9)x=9x+8
multily both sides by 9
-x=81x+72
minus 81 both sides
-82x=72
divide both sides by -82
x=-36/41
find y
y=(-1/9)x
y=(-1/9)(-36/41)
y=4/41
the point is
Answer:
Measure of minor angle JOG is
Step-by-step explanation:
Consider a circular track of radius 120 yards. Assume that Cherie starts from point J and runs 200 yards up to point G.
.
Now the measure of minor arc is same as measure of central angle. Therefore minor angle is the central angle .
To calculate the central angle, use the arc length formula as follows.
Where is measured in radian.
Substituting the value,
Dividing both side by 120,
Reducing the fraction into lowest form by dividing numerator and denominator by 40.
Therefore value of central angle is , since angle is in radian
Now convert radian into degree by using following formula,
So multiplying with
to convert it into degree.
Simplifying,
So to nearest tenth,
