You can't exactly get the trigonometric functions using a point unless it's a vector,
so tanx = -8/-6 = 4/3 and from it we can get the other functions
sinx = -4/5
cosx = -3/5
secx = -5/3
cscx = -5/4
cotx = 3/4
<span>Since 360 is a multiple of 120, it is automatically the LCM of this problem.
</span>
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, 
Answer:
Point estimate of the corresponding population mean = $8,213
Step-by-step explanation:
Given:
Average cost of a wedding reception (x) = $8,213
Total number of sample (n) = 450
Standard deviation = $2185
Find:
Point estimate of the corresponding population mean
Computation:
Average cost of a wedding reception (x) = Point estimate of the corresponding population mean
Point estimate of the corresponding population mean = $8,213
We are given intersecting lines. The measures of a pair of angles forming vertex angles, are 2x+6° and 96°.
The measure of 2 vertex angles is equal, so we solve the equation:
2x+6°=96°, subtract 6° from both sides of the equation
2x=90°, divide both sides of the equation by 2
x=45°
