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nasty-shy [4]
2 years ago
11

A recreation center holds a soccer game every Saturday morning for older teens. The group agreed that there should be at least f

ive players on each team. One team started out with 17 players. After an hour of playing three players started leaving every 5 minutes. For at least how long can the team keep playing?
Mathematics
1 answer:
Lyrx [107]2 years ago
5 0

Answer:

They can play for 1 hour and 20 minutes from the beginning of the game.

Step-by-step explanation:

Start playing with 17 players.

At 1 hour, there are 14 players left.

At 1:05, there are 11 players left.

At 1:10, there are 8 players left.

At 1:15, there are 5 players left.

At 1:20, there are 2 players left, and play stops.

They can play for 1 hour and 20 minutes from the beginning of the game.

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A ship's sonar finds that the angle of depression to a ship wrack on the bottom of the oceanis 12.5°. If a point on the ocean fl
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Answer:

The 13.2 meters from that point on the ocean floor to the wreck.

Step-by-step explanation:

As given

A ship's sonar finds that the angle of depression to a ship wrack on the bottom of the ocean is 12.5°.

If a point on the ocean floor is 60 meters.

Now by using the trigonometric identity.

tan\theta = \frac{Perpendicular}{Base}

As shown in the figure given below.

Perpendicular = CB

Base = AC = 60 meters

\theta = 12.5^{\circ}

Put in the identity

tan\ 12.5^{\circ} = \frac{CB}{AC}

tan\ 12.5^{\circ} = \frac{CB}{60}

tan\ 12.5^{\circ} = 0.22

tan\ 12.5^{\circ} = 0.22

0.22= \frac{CB}{60}

CB = 60 × 0.22

CB = 13.2 meters

Therefore the 13.2 meters from that point on the ocean floor to the wreck.







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2 years ago
A company sells Apple Cherry mix.They make large batches of the mix that can be used to fill 250 bags each. Determine how many p
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<span>Calculating the number of kg of each ingredient required per batch is nothing more than multiplying the number of kg per bag times 250. But the information given is woefully inadequate for answering the second part of the question. All you know is the cost of the ingredients and nothing about the fixed costs of running the factory, nor the company's G&A, nor the desired profit margin. If they sell just for the cost of the ingredients, they would go broke in a month. 

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5 0
2 years ago
Pedro cut a sheet of poster board into 10 equal parts. His brother used some of the poster board and now 8/10 is left. Pedro wan
yawa3891 [41]

Answer: 8


Step-by-step explanation:

Given: Pedro cut a sheet of poster board into 10 equal parts.

let x be the total sheet.

then, one part of sheet= \frac{1}{10} of the sheet

Now, His brother used some of the poster board and now 8/10 is left.

Therefore, if Pedro wants to make a sign from  each remaining part of the poster board.

then, The number of signs he can make= \frac{8}{10}\div \frac{1}{10}=\frac{8}{10}\times\frac{10}{1}=8

Hence, Pedro can make 8 signs.

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