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3 years ago

How many triangles can you make from straws with the lengths 2,1,2 inches?

Mathematics

1 answer:

marysya [2.9K]3 years ago

6 0

Answer:

You can make one triangle with these lengths

Step-by-step explanation:

we know that

The <u>Triangle Inequality Theorem</u> states that the sum of any 2 sides of a triangle must be greater than the measure of the third side

Verify if the lengths satisfy the triangle inequality theorem

1) 2+1 > 2

3 > 2 ------> is true

2)2+2 > 1

4 > 1 -----> is true

The lengths satisfy the triangle inequality theorem

therefore

You can make one triangle with these lengths

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Find the point on the line 5x+7y+1=0 which is closest to the point (−4,3).

Keith_Richards [23]

$5x + 7y + 1 = 0$

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3 years ago

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Answer:

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Step-by-step explanation:

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3 years ago

Refer to the picture above

vodomira [7]

Answer:

3.14

Step-by-step explanation:

First find the circumference of the circle:

$2\pi r$ = Circumference.

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3 years ago

Read 2 more answers

In a survey of 1000 large corporations, 260 said that, given a choice between a job candidate who smokes and an equally qualifie

Usimov [2.4K]

Answer:

The 95% confidence interval for the proportion of corporations preferring a nonsmoking candidate is (0.2328, 0.2872)

Step-by-step explanation:

In a sample with a number n of people surveyed with a probability of a success of $\pi$ , and a confidence level of $1-\alpha$ , we have the following confidence interval of proportions.

$\pi \pm z\sqrt{\frac{\pi(1-\pi)}{n}}$

In which

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For this problem, we have that:

$n = 1000, p = \frac{260}{1000} = 0.26$

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The upper limit of this interval is:

$\pi + z\sqrt{\frac{\pi(1-\pi)}{n}} = 0.26 + 1.96\sqrt{\frac{0.26*0.74}{1000}} = 0.2872$

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3 years ago

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statuscvo [17]

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