Answer: See the screenshot below.
Explanation:
We'll be using these trig functions
- sine = opposite/hypotenuse
- cosine = adjacent/hypotenuse
- tangent = opposite/adjacent
The inverse of those help us find the angle. Notation like arcsine is the same as inverse sine denoted as 
on many calculators.
The decimal results are approximate.
What you see in the z score table is P(z< a constant), for P( z≥ a number), subtract the probability from 1:
1-0.1587=0.8413
on the z score table, you will see that p(z<1.00)=0.8413
so c=1.00
Answer:
The range for boys is 0-12 and the mean is 5.1
The range for girls is 2-8 and the mean is 5.3
Step-by-step explanation:
We know that
[area of a regular hexagon]=6*[area of one <span>equilateral triangle]
</span>210.44=6*[area of one equilateral triangle]
[area of one equilateral triangle]=210.44/6-----> 35.07 cm²
[area of one equilateral triangle]=b*h/2
h=7.794 cm
b=2*area/h------> b=2*35.07/7.794------>b= 9 cm
the length side of a regular hexagon is 9 cm
<span>applying the Pythagorean theorem
</span>r²=h²+(b/2)²------>r²=7.794²+(4.5)²------> r²=81--------> r=9 cm
<span>this last step was not necessary because the radius is equal to the hexagon side------> (remember the equilateral triangles)
</span>
the answer is
the radius is 9 cm
Step-by-step explanation:
