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Nikolay [14]
3 years ago
12

Find the length of the missing side.

Mathematics
1 answer:
ICE Princess25 [194]3 years ago
3 0

Answer:

Choice A, 40 in.

Step-by-step explanation:

Though its not clear here, I'm going to assume the missing side is the hypotenuse. If not, the my answer is probably not right then.

In order to find the hypotenuse, we can use Pythagorean Theorem which is:

a^2+b^2=c^2

C in this equation is the hypotenuse, while a and b are the legs of the right triangle.

Now, lets just plug it in:

32^2+24^2=c^2

1024+576=c^2

1600=c^2

40 = c

From this the hypotenuse is 40, it would be Choice A.

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A box contains 5 red balls, 6 white balls and 9 black balls. Two balls are drawn at
valina [46]

Answer:

P(Same)=\frac{61}{190}

Step-by-step explanation:

Given

Red = 5

White = 6

Black = 9

Required

The probability of selecting 2 same colors when the first is not replaced

The total number of ball is:

Total = 5 + 6 + 9

Total = 20

This is calculated as:

P(Same)=P(Red\ and\ Red) + P(White\ and\ White) + P(Black\ and\ Black)

So, we have:

P(Same)=\frac{n(Red)}{Total} * \frac{n(Red) - 1}{Total - 1} + \frac{n(White)}{Total} * \frac{n(White) - 1}{Total - 1}  + \frac{n(Black)}{Total} * \frac{n(Black) - 1}{Total - 1}

<em>Note that: 1 is subtracted because it is a probability without replacement</em>

P(Same)=\frac{5}{20} * \frac{5 - 1}{20- 1} + \frac{6}{20} * \frac{6 - 1}{20- 1}  + \frac{9}{20} * \frac{9- 1}{20- 1}

P(Same)=\frac{5}{20} * \frac{4}{19} + \frac{6}{20} * \frac{5}{19}  + \frac{9}{20} * \frac{8}{19}

P(Same)=\frac{20}{380} + \frac{30}{380}  + \frac{72}{380}

P(Same)=\frac{20+30+72}{380}

P(Same)=\frac{122}{380}

P(Same)=\frac{61}{190}

4 0
3 years ago
Solve and show your work please!x+7=2(3x-4)
Brrunno [24]

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x + 7 = 2*3x - 4*2

x + 7 = 6x -  8            Subtract 7 from both sides.

x + 7 - 7 = 6x - 8 - 7  

x = 6x - 15                 Subtract 6x from both sides

x - 6x = - 15

-5x = - 15                   Divide by -5

-5x/-5 = -15/-5

x = 3

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3 years ago
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olga_2 [115]

Answer:

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Step 1: Subtract 20 from both sides.

−x+20−20=31−20

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Step 2: Divide both sides by -1.

−x

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=

11

−1

x=−11

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x=−11

5 0
3 years ago
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A bag of potato chips costs $6.99 and comes with 87 chips. If you could buy them
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Answer:

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