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Sever21 [200]
3 years ago
5

Find the distance between (-4,-3) and (-8,2)

Mathematics
1 answer:
Masja [62]3 years ago
7 0

The distance (r) between any two points (a,b) and (c,d) is :—

r =  \sqrt{{(a - c)}^{2} +  {(b - d)}^{2}  }

Putting the values,

\sqrt{ {( - 4 + 8)}^{2} +  {( - 3 - 2) }^{2} }

r =  \sqrt{16 + 25}

r =  \sqrt{41}

The distance between the points is √41

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An ordinary Fair die is a cube with the numbers 1 through 6 on the sides represented by painted spots imagine that such a die is
Hoochie [10]

Answer:  Probability of,  Event A = 5/18

Event B = 1/2

Step-by-step explanation:

Since, The probability of an event = Number of outcomes of the event/ total number of outcomes.

Since, If a fair dire rolled two times then the total number of outcomes, n(S) = 6 × 6 = 36

And, Event A: The sum is greater than 8.

So, possible outcomes are, ( 3,6), (4,5), (4,6), (5,5), (5,6), (5,4), (6,6), (6,5), (6,4), (6,3)

Thus, n(A) = 10

Since, Probability of event A,

P(A) = n(A)/n(S) = 10/36 = 5/18

Therefore, P(A)= 5/18

Now, Event B: The sum is an even number.

So, possible outcomes are, (1,1),(1,3), (1,5), (2,2), (2,4), (2,6), (3,1), (3,3), (3,5), (4,6), (4,2), (4,4), (5,1), (5,3), (5,5), (6,2), (6,4), (6,6)

Thus, n(B)= 18

Since, Probability of event B,

P(B)= n(B)/n(S) = 18/36 = 1/2

Therefore, P(B)= 1/2


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2 years ago
The volume of a rectangular prism is 60 cubic units. What could the dimensions of the prism be?
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Answer:1x20x3

Step-by-step explanation: 1 times 20 equals 20 and 20 times 3 equals 60 cubic units. Basically you are just multiplying 3 numbers that equal to 60.

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Step-by-step explanation:

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Here is your answer:

Since their no zeros (0) here's your answer:

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