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Iteru [2.4K]
2 years ago
5

What is the length of the hypotenuse in the 30 60 90 triangle shown below

Mathematics
1 answer:
andreyandreev [35.5K]2 years ago
6 0

Answer:

12

Step-by-step explanation:

In a 30-60-90, the hypotenuse is twice the length of the short side. If the short side is 6, the long side is 12

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Solve the systems of equations y=2x and y=-x - 6
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Answer:

y = -4

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Step-by-step explanation:

Hi there...

y = 2x

y = -x - 6

Since why is equal to 2x, we can plug it in for y in the second equation. Here's what I mean...

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add x on both sides...

3x = -6

divide by 3 on both sides...

x = -2

Now, plug in x for y. Here's what I mean...

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2 years ago
The amounts a soft drink machine is designed to dispense for each drink are normally​ distributed, with a mean of 11.711.7 fluid
dexar [7]

Answer:  0.1499

Step-by-step explanation:

Given : The amounts a soft drink machine is designed to dispense for each drink are normally​ distributed, with mean \mu=11.7\text{ fluid ounces}

Standard deviation : \sigma=0.2\text{ days}

z-score : z=\dfrac{X-\mu}{\sigma}

For X = 11.5  

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z=\dfrac{11.6-11.7}{0.2}\approx-0.5

Now, the probability that the drink is between 11.511.5 and 11.611.6 fluid ounces will be :-

P(11.5

Hence, the probability that the drink is between 11.511.5 and 11.611.6 fluid ounces =0.1499

5 0
3 years ago
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