What is the length of the hypotenuse of a right triangle whose legs have lengths of 5 and 12?

Answer:

In counting to a base, when we get to the point where the base integer comes up, we replace by 10, on the first time and by 10 at every other time the integer is about to come up

We now this in base 10 as when we get to 10 we input 10 and so and so till we get to 99 where since we are in base 10 the next number is 100 because that is the highest we can go while in base 11 100 in base is equivalent to 91

So we have for base 5

1, 2, 3, 4, 10, 11, 12, 13, 14, 20, 21, 22, 23, 24, 30, 31, 32, 33, 34, 40, 41, 42, 43, 44, 100, 101, 102, 103, 104, 110, 111, 112, 113, 114, 120, 121, 122, 123, 124, 130, 131, 132, 133, 134, 140, 141, 142, 143, 144, 200

We see that on getting to 4 instead of the next digit to be 5 we replace it with 10 because 5 cannot be displayed in base 5

Similarly after 14 is 20 because 5 cannot be displayed at 24 the next number is 30 because 5 cannot be displayed

at 34 the next  40, while at 44 the next is (we could have written 50 but 5 is 10 in base 5 so we write 100) 100

At 144, we note that 44 = 100 + 44, therefore, the next number will be 100 + 44+ 1 = 100 + (45 but 45 = 100 in base 5) 100 so that the next number is 200

Base 2

In base 2 we have;

1, 10, 11, 100, 101, 110, 111, 1000, 1001, 1010, 1011, 1100, 1101, 1110, 1111, 10000, 10001, 10010, 10011, 10100, 10101, 10110, 10111, 11000, 11001, 11010, 11011, 11100, 11101, 11110, 11111, 100000, 100001, 100010, 100011, 100100, 100101, 100110, 100111, 101000, 101001, 101010, 101011, 101100, 101101, 101110, 101111, 110000, 110001, 110010

We see that there are no 2s and after 11 we get 100 just like after 99 we get 100 in base 10 and after 44 we get 100 in base 5

So we need to still have an idea of the number system just as we did for base 10

Step-by-step explanation:

The probability is 286 20825.

Final answer:

The probability of drawing three diamonds and one spade from a well-shuffled deck of 52 cards is about 0.0137 or 1.37%.

Explanation:

The subject of this question is the probability in a deck of 52 cards. In a deck, there are 13 cards for each suit: diamonds, spades, clubs, and hearts. In drawing 4 cards, we want to find out the likelihood of picking 3 diamonds and one spade. This type of question deals with combinatorics and probability rules.

First, let's compute the number of ways we can draw 3 diamonds from 13. This is done through a combination, denoted as C(13,3), which equals 286. Next, the number of ways to draw one spade from the 13 available is C(13,1), which equals 13. Therefore, the total favourable outcomes are 286 x 13 = 3718.

Second, let's compute the total number of outcomes which is C(52,4) = 270,725. Therefore, the probability of obtaining 3 diamonds and one spade is 3718/270725, which simplifies to approximately 0.0137 or 1.37% when expressed as a percentage.

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Answer:

is will cost 200 dollars by memorial dsy

Answer:

Step-by-step explanation:

Since L is the midpoint of MN, by the definition of midpoint:

We can picture the following segment:

M----------L----------N

We know that and . Since the two segments are equivalent, we can set them equal to each other:

Now, let's solve for x. Subtract -7 from both sides:

Subtract 3x from both sides:

Divide both sides by -1:

So, the value of x is 10.

With this, we can find the remaining lengths.

We know that ML is .

Substitute 10 for x. So, the length of ML is:

We know that LN is . So, the length of LN is:

Finally, MN will be the combined lengths of ML and LN. So:

And we're done!

The lengths of each segment are:

ML = 27, LN = 27, and MN = 54.

We have,

Let's use the information given to find the values of ML, LN, and MN.

ML = 2x + 7

LN = 3x - 3

L is the midpoint of MN, which means that ML is equal to LN:

2x + 7 = 3x - 3

Now, let's solve for x:

Move the x term to one side of the equation:

2x - 3x = -3 - 7

-x = -10

Now, multiply both sides by -1 to get rid of the negative sign:

x = 10

Now that we have the value of x, we can find the lengths ML, LN, and MN:

ML = 2x + 7

ML = 2(10) + 7

ML = 20 + 7

ML = 27

LN = 3x - 3

LN = 3(10) - 3

LN = 30 - 3

LN = 27

MN = ML + LN

MN = 27 + 27

MN = 54

Thus,

The lengths of each segment are:

ML = 27, LN = 27, and MN = 54.

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