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Alexandra [31]
2 years ago
5

6.

Mathematics
1 answer:
Rudik [331]2 years ago
5 0

Answer:

  (a)  169.1 m

Step-by-step explanation:

The diagram shows you the distance (x) will be shorter than 170 m, but almost that length. The only reasonable answer choice is ...

  169.1 m

__

The relevant trig relation is ...

  Cos = Adjacent/Hypotenuse

The leg of the right triangle adjacent to the marked angle is x, and the hypotenuse is 170 m. Putting these values into the equation, you have ...

  cos(6°) = x/(170 m)

  x = (170 m)cos(6°) ≈ (170 m)(0.994522) ≈ 169.069 m

The horizontal distance covered is about 169.1 meters.

_____

<em>Additional comment</em>

Expressed as a percentage, the slope of this hill is tan(6°) ≈ 10.5%. It would be considered to be a pretty steep hill for driving.

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lora16 [44]

Answer:

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Step-by-step explanation:

r- Roberto

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j- Jim

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r+ e+ j < 10 Substitute in for r and j.

2e+ e+ 1 < 10

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e< 3

r = 2*e

r < 2*3  I Changed it to less than, so because edward has to do less than 3 hours, so now im finding the number of hours that he has to be below.

r<6

Roberto did less than 6 hours.  

Edward did less than 3 hours.

Jim did 1 hour.

Possible Combination of hours that satisfies all the criteria and is below 10 total hours:

Jim Does 1 hour, Edward does 2 hours, and Roberto does 4  hours.

Another Possibility is

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(Edward has to do 2.5 hours for Roberto to do 5 hours, because it states that Roberto does twice as many hours as Edward, it does not state that he did more than twice as many hours so it is necessary for Edward to do 2.5 hours for Roberto to do 5.)

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