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denis23 [38]
3 years ago
9

Select the condition for which it is NOT possible to construct a triangle. A triangle with side lengths 4 cm, 5 cm, and 6 cm A t

riangle with side lengths 4 cm, 5 cm, and 15 cm A triangle with side lengths 4 cm and 5 cm and an included 50°angle A triangle with angle measures 30° and 60°, and an included 3 cm side length.
Mathematics
1 answer:
stellarik [79]3 years ago
6 0

Answer:

Option B: A triangle with side lengths 4 cm, 5 cm, and 15 cm

Step-by-step explanation:

Since we are dealing here majorly with sides, one condition is that each side has to be shorter than the sum of the other two sides and longer than their difference meaning that if we have a, b and c

The a value has to be shorter than the sum of b and c - a < b+c and the a value also has to be longer than their difference - a > b-c

In this example,we have side lengths 4 cm, 5 cm, and 15 cm. Taking a, b and c as 4 cm, 5 cm, and 15 cm respectively.

The sum of 5 and 4 is 9 and the third side 15 is greater than 9 when it is supposed to be less to construct a triangle.

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Answer: 208.

Step-by-step explanation:

The formula to find the minimum sample size is given by :-

n= (\dfrac{z^*\times \sigma}{E})^2                                    (1)

, where z* = critical z-value (two tailed).                                                                      

\sigma = Standard deviation ( from prior study ) and E = Margin of error.

As per given , we have

Margin of error : E= 0.29

Confidence level = 85%

Significance level =\alpha=1-0.85=0.15

Using z-table , the critical value (two -tailed)=z^*=z_{\alpha/2}=z_{0.15/2}=z_{0.075}=1.439

As per previous study , Variance =\sigma^2=8.41

\sigma=\sqrt{8.41}=2.9

Now, the required minimum sample size = n= (\dfrac{(1.439)\times (2.9)}{0.29})^2   [Substitute the values in formula (1)]

n=(14.39)^2

n=207.0721\approx208  [ Round to the next integer]

Hence, the minimum number of third graders that must be included in a sample = 208.

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Explain how multiplying fractions is similar to multiplying whole numbers and how it is different ?
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Alekssandra [29.7K]

The interpretation of the function is that the difference y between the car's actual speed x and the displayed speed is 8

<h3>How to describe the translation. </h3>

The function is given as:

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The above function is an absolute function.

And the parent function of an absolute function is

y = |x|

When a function is translated right by h units, the new function is y = |x - h|

This means that the translation is a translation to the right by 8 units

See attachment for the graph the function.

<h3>Interpret the function and the translation in terms of the context of the situation.</h3>

The function is given as:

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So, the interpretation of the function is that the difference y between the car's actual speed x and the displayed speed is 8

Read more about functions at:

brainly.com/question/2328150

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