For the law of sines, you would apply it in this particular problem like so:
Since P is 27, its angle is 33 and Q's length is 40; you would set it up like this
<u />40/SinQ = 27/Sin33, multiply 40 with Sin33, then it would be 40Sin33, then divide it by 27. The result should be 40Sin33/27 = X
Well i would say it would be 8.9
Answer:
1) A and D
The radius is the distance from the center of a circle to any part of the edge. Both A and D have a radius of three, regardless of what direction they go.
2) 5"
In circle C we see that there is a line segment that is 5" that goes from the center to the edge, or the radius.
3) C
The different variables are representing different points on the circles. The circle that contains a line connecting C and L is circle C.
4) BN
Circle B contains a radius that is the distance from B to N, or BN.
5) EF
The diameter is the distance of a straight line that was pass through the middle of a circle, or its width. The diameter is double the radius. In circle A we see that line EF passes through the center put goes all the way across the circle.
6)IJ
Line IJ isn't even linear, so it could not be the radius. Both AG and BH are straight lines that represent the radius.
7) 6"
The diameter is always twice the radius. In circle A the radius is 3, so the diameter is 6.
8) A and D
Just as we said in the first answer, A and D both have a radius that measures 3 inches.
I hope this helps!
Step-by-step explanation:
Answer:
a. 99.7%
b. 68%
Step-by-step explanation:
The empirical rule for approximately symmetrical and bell-shaped distributions states that:
68% of the data are among the values (means - sd) and (means + sd)
95% of the data are among the values (means - 2*sd) and (means + 2*sd)
99.7% of the data are among the values (means - 3*sd) and (means + 3*sd). So that,
68% of the data are among the values (180 - 8) = 172 and (180 + 8) = 188
95% of the data are among the values (180 - 16) = 164 and (180 + 16) = 196
99.7% of the data are among the values (180 - 24) = 156 and (180 + 24) = 204
