Answer: P = 1/12 = 0.083
Step-by-step explanation:
Out of the 12 girls, there will be only one that is the lead-off batter.
we can assume that this is the first being selected at random, then the probability that you will be the lead-off batter, is equal to the quotient between 1 (the outcome where you are selected) and 12 (the total number of outcomes)
Then the probability is:
P = 1/12 = 0.083
The fact that there will be an arrange of only 9 girls does not affect the probability of you getting the position of the lead-off batter.
Answer:
74.31353
=74 m
Step-by-step explanation:
given that three locations are marked next to a river. Points B and C are on the same side of the river, and point A is on the other side of the river. To find the distance AB across a river, a distance BC of 241 meters is laid off on one side of the river. It is found that the angle at point B is 108.6° and the angle at point C is 14.9°.
we have information about triangle ABC as side BC =241, Angle B = 108.6 and angle C = 14.9 degrees.
Hence this is an obtuse scalene triangle.
Angle ∠A = 56.5° (III angle)
Using sine formula we get

So distance AB is 74 metres.
Answer:
Rad 68
Step-by-step explanation:
84- 4^2=68
On an isosceles trapezoid, the two sides that are not parallel to each other will be exactly the same length. If this is true, than it would be create a symetric trapezoid. The diagonals would be the same length. The bases of any trapezoid are parallel, so this is true. The diagonals cannot possibly be perpendicular because the 2 nonparallel sides would be slanted. So, the answer is the 3rd choice.
KE = 1/2(m * v^2)
KE = 1/2(1350 * 12^2)
KE = 1/2(1350 * 144)
KE = 1/2(194,400)
KE = 97,200 Joules