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Gemiola [76]
4 years ago
9

You start driving north for 32 miles, turn right, and drive east for another 24 miles.

Mathematics
1 answer:
Marina86 [1]4 years ago
5 0

Answer:

  40 miles

Step-by-step explanation:

You can recognize the right triangle as a 3-4-5 right triangle with a scale factor of 8. So the length of the hypotenuse is 8·5 = 40 miles.

___

Or, you can use the Pythagorean Theorem, which tells you that the sum of the squares of the leg distances will equal the square of the straight-line (hypotenuse) distance:

  32² + 24² = h²

  1024 +576 = h² = 1600

  h = √1600 = 40 . . . . miles

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Answer:

d. The relative frequency of the people that chose drama is 0.1\overline 6

e. The relative frequency of the people that chose action is 0.2

Step-by-step explanation:

The result of the survey is expressed as follows;

C, C, R, R, D, R, H, H, C, A, A, R, A, A, A, R, R, H, H, H, C, H, A, R, D, D, D, D, H, R

Sorting the data, with Microsoft Excel, we get;

A,  A,  A,  A,  A,  A,  C,  C,  C,  C, D,  D,  D,  D,  D,  H,  H,  H,  H,  H,  H,  H,  R,  R,  R,  R,  R,  R,  R,  R

From the pivot table created with Microsoft Excel, we have

The frequency of As = 6

The frequency of Cs = 4

The frequency of Ds = 5

The frequency of Hs = 7

The frequency of Rs = 8

The sum of all frequency = 6 + 4 + 5 + 7 + 8 = 30

d. The relative frequency of the people that chose drama is given as follows;

Relative \, frequency = \dfrac{Frequency \ of \ observation}{Sum \ of \ all  \ frequencies}

The frequency of the people that chose drama = 5

The sum of all frequency = 30

Relative \, frequency \ of \ the \ people \ that \ chose \ drama = \dfrac{5}{30} = \dfrac{1}{6} = 0.1\overline 6

The relative frequency of the people that chose drama = 0.1\overline 6

e. The relative frequency of the people that chose action, RF action, is given as follows;

RF \ action =  \dfrac{Frequency \ of \ the \ people \ that \ chose \ action}{Sum \ of \ all \ frequencies}  = \dfrac{6}{30} = \dfrac{1}{5}  = 0.2

The relative frequency of the people that chose action, RF action = 0.2.

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Answer:

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Step-by-step explanation:

Let Aseem's car length be x

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Sum of lengths:

2x - 5 + x = 20

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Answer:

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Step-by-step explanation:

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