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strojnjashka [21]
3 years ago
13

50+ POINTS I NEED HELP

Mathematics
1 answer:
pashok25 [27]3 years ago
3 0

Answer:

21 yards

Step-by-step explanation:

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The y-intercept is -2

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A bug dug 60 inches straight down below ground and then continued digging 144 inches parallel to the ground. Finally, he realize
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156 inches is the shortest distance to dig diagonally through dirt to get to his family.

<u>Step-by-step explanation:</u>

  • A bug dug 60 inches straight down below ground.
  • Then continued digging 144 inches parallel to the ground.

This forms the angle 90° between the two lines.

After he realized to turn back., the shortest distance is to dig diagonally.

This forms the hypotenuse side of the triangle.

Therefore, the given data can be assumed as a right angled triangle.

<u>To find the diagonal path (hypotenuse) :</u>

Use the Pythagorean triplets for right angle triangle,

We know that the triplet is (5,12,13).

  • It is given that, the height is 60 inches ⇒ 5 × 12
  • The base is of 144 inches ⇒ 12 × 12

Therefore, the third side hypotenuse must also be a multiple of 12.

From the triplets (5,12,13), the hypotenuse is 13 and it is multiplied by 12.

Diagonal path ⇒ 13 × 12 = 156  inches.

∴ 156 inches is the shortest distance to dig diagonally through dirt to get to his family.

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3 years ago
The British Queen is to receive 4 foreign dignitaries. The digni- taries are sensitive to the order in which they are received.
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Answer:

Number of Ways = ₄P₄ = 24

Step-by-step explanation:

Given that there are going to be 4 dignitaries, and that they are sensitive to the order (i.e the order of the dignitaries matter), hence the total number of ways they can be arranged can be found by permutating 4 dignitaries.

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Number of Ways = ₄P₄ = 24

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Which expression can be used to find 25 percent of 88?
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