The solution to the problem is as follows:
arc sin (sin 3pi) = theta
<span>where theta is the angle ur looking for </span>
<span>so that becomes </span>
<span>sin (theta) = sin 3pi </span>
<span>sin (theta) = 0 </span>
<span>theta = 0, pi
</span>
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That's the wrong right triangle to draw. Reading the problem carefully we want this one, figure attached.
So we have the usual 30/60/90 triangle but not to scale. The sides come in ratio 1:√3:2=x:100:hypotenuse. So
x = 100/√3 ≈ 57.735
We add that to our 133.2 for the total height of the Cyclone, 190.935.
Answer: 190.9
Answer:
0.714 free throws.
Step-by-step explanation:
Anna made 20 out of 28 free throws.
Free-throw average =
= 0.7142857143 free throws.
This equals 0.714 free throws (answer rounded up to the nearest thousandths)
The answer you are looking for is 5/6
*I am assuming that the hexagons in all questions are regular and the triangle in (24) is equilateral*
(21)
Area of a Regular Hexagon:
square units
(22)
Similar to (21)
Area =
square units
(23)
For this case, we will have to consider the relation between the side and inradius of the hexagon. Since, a hexagon is basically a combination of six equilateral triangles, the inradius of the hexagon is basically the altitude of one of the six equilateral triangles. The relation between altitude of an equilateral triangle and its side is given by:


Hence, area of the hexagon will be:
square units
(24)
Given is the inradius of an equilateral triangle.

Substituting the value of inradius and calculating the length of the side of the equilateral triangle:
Side = 16 units
Area of equilateral triangle =
square units