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vladimir2022 [97]
2 years ago
10

Can someone please help me

Mathematics
2 answers:
V125BC [204]2 years ago
5 0

Answer:

The length of the other leg is 19 cm (rounded to the nearest tenth).

Step-by-step explanation:

In order to solve this, we need to know the Pythagoras theorem which states that...

c^{2} = a^{2} +b^{2}  (Where c is the length of the hypotenuse and a and b are the lengths of the legs)

Now just substitute the values to find the length of the other leg, and we get...

c^{2} = a^{2} +b^{2}\\19^{2} = 1^{2} + b^{2} \\b^{2} = 19^{2} - 1^{2} \\b^{2} = 361 - 1\\b^{2} = 360\\b = \sqrt{360} \\

b ≅ 19

Therefore the length of the other leg is around 19 cm.

KatRina [158]2 years ago
4 0

Answer:

19.0 cm

Step-by-step explanation:

a^2+b^2=c^2

1^2+b^2=19^2

1+b^2=361

(subtract one from both sides)

b^2=360

(now square root to get rid of the ^2)

\sqrt{b^2}=\sqrt{360}

b=18.97 rounded to the tenths place is 19.0

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A box contain 12 balls in which 4 are white 3 are blue and 5 are red.3 balls are drawn at random from the box.find the chance th
Anastasy [175]

Answer:

3/11

Step-by-step explanation:

From the above question, we have the following information

Total number of balls = 12

Number of white balls = 4

Number of blue balls = 3

Number of red balls = 5

We solve this question using combination formula

C(n, r) = nCr = n!/r!(n - r)!

We are told that 3 balls are drawn out at random.

The chance/probability of drawing out 3 balls = 12C3 = 12!/3! × (12 - 3)! = 12!/3! × 9!

= 12 × 11 × 10 × 9 × 8 × 7 × 6 × 5 × 4 × 3 × 2 × 1/(3 × 2 × 1) × (9 × 8 × 7 × 6 × 5 × 4 × 3 × 2 × 1)

= 220 ways

The chance of selecting 3 balls at random = 220

To find the chance that all the three balls are selected,

= [Chance of selecting (white ball) × Chance of selecting(blue ball) × Chance of selecting(red balls)]/ The chance/probability of drawing out 3 balls

Chance of selecting (white ball)= 4C1

Chance of selecting(blue ball) = 3C1 Chance of selecting(red balls) = 5C1

Hence,

= [4C1 × 3C1 × 5C1]/ 220

= 60/220

= 6/22

= 3/11

The chance that all three are selected is = 3/11

4 0
3 years ago
26. Simplify the expression below completely.<br> 4(5w - 3) -(w - 1)<br> Please help me!!
Veseljchak [2.6K]
4(5w-3) -(w-1)
(9w-12)-(w-1)
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3 years ago
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The sum of two consecutive odd numbers is 284. Find each number please.
Vlad [161]
We can solve this by finding one of the numbers first
Let the smaller number be y. 
Since these 2 numbers are consecutive odd numbers, the larger number should be 2 more than the smaller one (y+2).

Therefore, 
y + (y+2) = 284
2y +2 = 284
shift +2 to the other side and turn it into -2
2y = 284 - 2
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shift x2 to the other side and turn it into /2
y = 282/2
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Now we got the smaller number, which is 141, we can also find the larger number by adding 2 to it. 141+2 = 143, 
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8 0
3 years ago
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PLEASE HURRY ASAP!
cestrela7 [59]

Using conversions of mixed numbers, the numbers that are equivalent to 2 and 7/9 are given by:

25/9 and 2.777.

<h3>What are the conversions of the mixed number 2 and 7/9?</h3>

To convert to decimal, we just add the integer part with the fractional part converted to decimal(dividing the numerator by the denominator), hence:

2 and 7/9 = 2 + 7/9 = 2.7777.

To convert to fraction, the procedure is similar, we just apply the least common multiple to add the fraction, as follows:

2 + \frac{7}{9} = \frac{2 \times 9 + 7}{9} = \frac{25}{9}

Hence the numbers that are equivalent to 2 and 7/9 are given by:

25/9 and 2.777.

More can be learned about conversions of mixed numbers at brainly.com/question/21610929

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Which set of ordered pairs represents a function?
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As you can see, all of the x values are different, so it is a function.
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