Answer:
correct 34324234324324
Step-by-step explanation:
Step-by-step explanation:
b is per the identity of angles on parallel lines when intersected by one inclined line the same as the 40° angle.
so,
b = 40°
due to the parallel nature of the 2 lines there is a symmetry effect for such shapes inscribed a circle. the upper and the lower triangle must be similar. and when applying a vertical line through the central crossing point, everything to the left is mirrored by everything on the right.
so, angle c must be equal to angle b.
c = 40°
and as the sum of all angles in a triangle is always 180°, d is then
d = 180 - 40 - 40 = 100°
the interior angle of the arc angle a is the supplementary angle of d (together they are 180°), because together with d they cover the full down side of the top-left to bottom-right line.
interior angle to a = 180 - 100 = 80°
due to the symmetry again, the arc angle opposite to a is the same as a.
as we know, the interior angle to a pair of opposing arc angles is the mean value of the 2 angles.
so, we have
(a + a)/2 = 80
2a/2 = 80
a = 80°
there might (and actually should) be some more direct approaches for "a" out of the other pieces of information, but that was the most straight one right out of my mind, and I don't spend time on finding additional shortcuts, when I have already a working approach.
Multiply 8 with pi since the equation for circumference is 2pi(r), or d(pi). The answer is 25.13
Answer:
Company C
Step-by-step explanation:
You divide the amount of money it all costs to the number of plushies they are selling it for.
A: 34.08/12 = $2.84 each
B: 42.90/15 = $2.86 each
C: 50.58/18 = $2.81 each
So C has the least amount of money spent for a greater amount of plushies so C would be the Best Buy.
Answer:
No, this result is not surprising. It is a little bit more than one standard deviation above 20%
Step-by-step explanation:
Proportion of each color in the population (p) = 0.20
Sample size (n) = 20 Skittles
The standard deviation of a sampling distribution is determined by:
The difference between the observed proportion of 0.30, and the mean proportion of 0.20 is 0.10, which is just a little bit more than one standard deviation of 0.089. Therefore, this result is not surprising since it is a little bit more than one standard deviation above 20%.