Answer:
99 (cm^2)
Step-by-step explanation:
Perpendicular to the AB segment at points D and C, the graph is divided into two triangles and a rectangle.
The area of the middle rectangle is equal to 8*9=72. The hypotenuse of the right triangle is 10cm, and one of the right sides is 9cm, so the other side is SQRT (10^2-9^2) = SQRT (19).
One side of the left triangle is 9cm long and the other side is 14-8-sqRT (19) = 6-sqRT (19) cm.
Then, add the area of the three parts.
72+9*sqrt(19)/2+9*(6-sqrt(19))/2=99 (cm^2)
Answer:
3
Step-by-step explanation:
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Answer:
The correct option is;
comparing plant survivorship in areas where hikers stay on the trail with plants where hikers leave the trail
Step-by-step explanation:
The hypothesis that the area formerly covered by known plants which is now bare soil due to trampling in the alpine areas by hikers can be tested by means of comparing the areas where during the cause of their visit, the hikers remain on the trail as they move within the park to other portion of the park where it is known that there are either very few or no hiker remain on the trail. The outcome will determine if the cause of the appearance of bare soil is due to the transit and trampling by hikers.
Answer: 
Step-by-step explanation:

Distribute the negative sign. This basically changes all the signs inside the parentheses.

Combine like terms;

Answer:
There is a 34.3% probability that he makes all of the shots.
Step-by-step explanation:
For each foul shot that he takes during the game, there are only two possible outcomes. Either he makes it, or he misses. This means that we use the binomial probability distribution to solve this problem.
Binomial probability distribution
The binomial probability is the probability of exactly x successes on n repeated trials, and X can only have two outcomes.

In which
is the number of different combinatios of x objects from a set of n elements, given by the following formula.

And p is the probability of X happening.
In this problem we have that:

What is the probability that he makes all of the shots?
This is P(X = 3).


There is a 34.3% probability that he makes all of the shots.