measure of central angle is 4.607 radians with an arc length equaling 29.21 and a circumference = 40.44
Step-by-step explanation:
Arc length = 29.21
Circumference = 40.44
Central angle = ?
The formula used to find central angle is:

where s = arc length, r= radius and Ф=central angle.
We need to find radius from circumference

So, radius = 6.34
Now, finding central angle:

So, measure of central angle is 4.607 radians with an arc length equaling 29.21 and a circumference = 40.44
Keywords: Central angle of circle
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25.8%
First, determine how many standard deviations from the norm that 3 tons are. So:
(3 - 2.43) / 0.88 = 0.57/0.88 = 0.647727273
So 3 tons would be 0.647727273 deviations from the norm. Now using a standard normal table, lookup the value 0.65 (the table I'm using has z-values to only 2 decimal places, so I rounded the z-value I got from 0.647727273 to 0.65). The value I got is 0.24215. Now this value is the probability of getting a value between the mean and the z-score. What I want is the probability of getting that z-score and anything higher. So subtract the value from 0.5, so 0.5 - 0.24215 = 0.25785 = 25.785%
So the probability that more than 3 tons will be dumped in a week is 25.8%
Answer:
29.07m³
Step-by-step explanation:
7+6=13
378÷13=29.07m³
Answer:
10
, or 17.32050
Step-by-step explanation:
We know that 5x-3x =2x
So x(5x-3x)=x×2x
=(2x)^2
=4x^2
Which is given as 18.
X^2=18÷4
=4.5
So x=root over 4.5
Which is approximately 2.25