AC is a tangent so by definition, it touches the circle at exactly one point (point C) and forms a right angle at the tangency point. So angle ACO is 90 degrees
The remaining angle OAC must be 45 degrees because we need to have all three angles add to 180
45+45+90 = 90+90 = 180
Alternatively you can solve algebraically like so
(angle OAC) + (angle OCA) + (angle COA) = 180
(angle OAC) + (90 degrees) + (45 degrees) = 180
(angle OAC) + 90+45 = 180
(angle OAC) + 135 = 180
(angle OAC) + 135 - 135 = 180 - 135
angle OAC = 45 degrees
Side Note: Triangle OCA is an isosceles right triangle. It is of the template 45-45-90.
Given that the mean is $9.5 and the standard deviation is $1.30, the standard error will be given by:
σ/√n
where
σ-standard deviation
n=sample size
thus, we shal have:
1.30/√20
=0.2906
Next we find the margin error
0.2906*2=0.581
thus the confidence interval will be:
(9.5+0.581, 9.5-0.581)
=(10.081,8.919)
Answer:
55+x+74+54= 180 degree ( being the sum of all angle of the triangle )
or, 183 +x = 180degree
or, x=(180-183)degree
or, x= -3degree ans
Ratio 5:2 as fraction should be 5/2
as you know 5/2 = 2.5
This is the biggest compared to 9/5, 8/5 and 2/7
9/5 < 2
8/5 <2
2/7 < 1
so 5/2 is greatest
Answer:
Explanation:
so its referring to perimeter.
you add all values together.
this would equal 34.995 .
so, its 34.995 meters of fencing.