Each trip, a bus drops off more fans at a concert. on the first trip, the bus dropped off 30. on the 14th trip, which was the last one, the bus dropped off 95 fans. how many fans did the bus deliver to the concert in total? (2 points)

875

Step-by-step explanation:

Assuming the bus drop offs can be modeled with a arithmetic sequence we can find the amount of total fans using this formula 0.5*n*(first + last).

The first drop off is the first term in the sequence. This is 30 people.

The last drop off is the last term in the sequence. This is 95 people.

Substitute 30 for first, 95 for last and n = 14. Then simplify to solve for the total number of fans.

0.5*n*(first + last).

0.5*14*(30+95)

7(125)

875

875

Step-by-step explanation:

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  h = 11.2

Step-by-step explanation:

Let point M' be a point on AM that is 5 units toward point A from M. Let point B lie on AM such that KB⊥AM. Let x = AB; then BM' = 15 -x. The Pythagorean theorem gives rise to two equations in x and h:

Subtracting the first from the second gives ...

  (225 -30x +x² + h²) - (x² + h²) = 196 -169

  225 -30x = 27

  x = 198/30 = 6.6

Then ...

  h = √(13² -x²) = √(169 -43.56) = √125.44

  h = 11.2