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Korvikt [17]
3 years ago
11

4) Use the distance formula to find the length of segment BC.

Mathematics
1 answer:
gogolik [260]3 years ago
8 0

Answer:

5

Step-by-step explanation:

d= √(5-1)^2+(1-4)^2

d= √4^2+(-3)^2

d= √16+9

d=√25

d=5

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From a standard deck of cards, a 5-card hand is dealt. Calculate the number of hands that contain 4 diamonds and 1 black king
rjkz [21]

Answer:

1430

Step-by-step explanation:

Given that a standard deck of cards is 52 cards, we have 13 Diamonds and we need 4 diamonds.

Hence, we have 13C4.

Also, we have 4 kings in a standard deck of cards, and in which we have 2 black kings but we need 1 king.

Hence we have a 2C1

Therefore:

13C4 * 2C1

=> 13! ÷ [4! (13 - 4)!] * 2! ÷ [1! (2-1)!]

=> 13! ÷ [4! (9)!]

=> (1 x 2 x 3 x 4 x 5 x 6 x 7 x 8 x 9 x 10 x 11 x 12 x 13) ÷ [(1 x 2 x 3 x 4) (1 x 2 x 3 x 4 x 5 x 6 x 7 x 8 x 9)]

=> (10 x 11 x 12 x 13) ÷ 24

=> (17160 ÷ 24) * (24 ÷ 6)

=> 715

2! ÷ [1! (2-1)!]

=> 2

Hence, we have 715 * 2

=> 1430

Hence, in this case, the correct answer to the question is 1430

7 0
3 years ago
For what values of y : is the value of the binomial 5y−1 greater than the value of the fraction 3y−1/4
VashaNatasha [74]

Answer:

y>0.375

Step-by-step explanation:

5 0
3 years ago
Read 2 more answers
A bag of dog food says that it now contains 20% more. Originally, it came with 63 ounces of dog food. How much dog food does the
Brrunno [24]

Answer:

75.6 ounces

Step-by-step explanation:

Step one.

Given data

we are told that the original quantity of food is 63 ounces

and the increase is in food is by 20%

Step two:

let us find the increase in ounces

=20/100*63

=0.2*63

=12.6 ounces

Hence the amount of food in the bag now is

=12.6+63

=75.6 ounces

5 0
2 years ago
Write the following ratio in their simplest form (a)150minutes:1 1/2 hours (b) 150cm:1060mm ​
spayn [35]

Answer:

a) 5:3

b) 7.5:5.3

Step-by-step explanation:

150min : 90min (1 and a half hour)

10 : 6

5 : 3

150 × 10 mm : 1060 mm

1500 : 1060

750 : 530

7.5 : 5.3

7 0
2 years ago
What is -x^2 if x=-2
yanalaym [24]

Answer:

-4

Step-by-step explanation:

plug in -2

-(-2)^2 = -4

4 0
3 years ago
Read 2 more answers
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