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Dmitrij [34]
3 years ago
11

Three baseball players are playing catch. Vondra is directly south of Mei and directly west of

Mathematics
1 answer:
Radda [10]3 years ago
6 0

Vondra and Mei are 6 meters apart.

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

<u>From the given information, It can be known that</u> :

  • Vondra is directly south of Mei ⇒ which forms the height of the triangle.
  • Vondra is directly west of Yoshi ⇒ which forms the base of the triangle.

The distance between Vondra and Yoshi are 8 meters which is the base of the triangle. (Base= 8).

The distance between Yoshi and Mei are 10 meters which is the hypotenuse of the triangle. (hypotenuse= 10).

<u>To find the distance between Vondra and Mei which is the height of the triangle :</u>

From the Pythagorean triplets (3,4,5),

It is determined that the multiples of (3,4,5) = (6,8,10) forms the triangle in this particular case.

Therefore, the height is 6 meters. That is, the distance between Vondra and Mei is 6 meters.

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Answer:

\boxed{ x = 12}

Step-by-step explanation:

<u>Given Equation is:</u>

\frac{-3}{2} (x) - 9 = -27

Adding 9 to both sides

=> \frac{-3x}{2} = -27+9

=> \frac{-3x}{2} = -18

Multiplying 2 to both sides

=> -3x = -18 * 2

=> -3x = -36

Dividing both sides by -3

=> x = 12

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Correctly complete this sequence: 88511, 16351, ?, 10251
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Answer:

73155 will be the 3rd number in the sequence: 88511, 16351, ?, 10251.

So, the complete sequence will be: 88511, 16351, 73155, 10251.

Step-by-step explanation:

As 88511 is the first number.

The number 88511 has a certain pattern that could help us finding the next number.

So, let us consider 88511 and determine the pattern to find the next number and so on to complete the sequence.

Adding the first 2 digits in the number 88511 i.e.  8 + 8 = 16

Subtracting the 3rd digit from the 2nd digit i.e. 8 - 5 = 3

Multiplying the 3rd digit and 4th digit i.e. 5 × 1 = 5

Dividing the 4th digit by the 5th digit i.e. 1 ÷ 1 = 1

Hence, using these steps would get us the number 16351.

So, the next number would obtained using same steps:

Adding the first 2 digits in the number 16351 i.e.  1 + 6 = 7

Subtracting the 3rd digit from the 2nd digit i.e. 6 - 3 = 3

Multiplying the 3rd digit and 4th digit i.e. 3 × 5 = 15

Dividing the 4th digit by the 5th digit i.e. 5 ÷ 1 = 5

Hence, using these steps would get us the number 73155.

So, the next number would obtained using same steps:

Adding the first 2 digits in the number 73155 i.e.  7 + 3 = 10

Subtracting the 3rd digit from the 2nd digit i.e. 3 - 1 = 2

Multiplying the 3rd digit and 4th digit i.e. 1 × 5 = 5

Dividing the 4th digit by the 5th digit i.e. 5 ÷ 5 = 1

Hence, using these steps would get us the final number 10251.

So, from this observation, we determine that 73155 will be the 3rd number<em> </em>in the sequence: 88511,16351,?,10251.

So, the complete sequence will be: 88511, 16351, 73155, 10251.

Keywords: sequence, number

Learn more about sequence from brainly.com/question/13257823

#learnwithBrainly

3 0
3 years ago
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