Answer:
95,040 different cast are possible
Step-by-step explanation:
In this case the order in which the actors are selected for the 5 different roles is important. Therefore we use the permutations formula.

Where n is the number of items you can choose and choose r from them.
In this case
and 



First you have to multiply 6*1=6 and 6*4=24 that would equal 246
next, you have to add a zero and multiply 1*1=1 and 1*4=4 that would come out to 410.
then you add 246+410. the answer to this equation would be the answer to the whole problem.
Answer:
12 m
Step-by-step explanation:
The path of a football has been modeled by the equation:

where h represents the height and d represents the horizontal distance.
When the ball lands, it means that its height is back at 0 metres. This means that we have to find horizontal distance, d, when height, h, is 0.
=> 


∴ d = 0 m
and
10d - 120 = 0
=> d = 120 / 10 = 12 m
There are two solutions for d when h = 0 m.
The first solution (d = 0 m) is a case where the ball has not been thrown at all. This means the ball has not moved away from the football player and it is still on the ground.
The second solution is the answer to our problem (d = 12 m). The ball lands at a horizontal distance of 12 m
Answer:
1,2,3,4,5
Step-by-step explanation:
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Answer:
To find the area of a trapezoid, multiply the sum of the bases (the parallel sides) by the height (the perpendicular distance between the bases), and then divide by 2.
Step-by-step explanation: