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2 years ago

Which set of three numbers could be the side lengths of a triangle?

Mathematics

2 answers:

spin [16.1K]2 years ago

7 0

Answer:

The correct option is C.

Step-by-step explanation:

In a triangle, then sum of two smaller sides is greater than the length of third greatest side.

Let, in a triangle ABC, If the length of sides are $a$ , then

$c$

In option A,

$8\nless 2+4$

Therefore option A is incorrect.

In option B,

$6\nless 2+4$

Therefore option B is incorrect.

In option C,

$7$

Therefore option C is correct.

In option D,

$9\nless 3+5$

Therefore option D is incorrect.

Snezhnost [94]2 years ago

5 0

Answer:

C. 3, 5, 7

Step-by-step explanation:

We know that in a triangle, 'the sum of lengths of two sides is always greater than the length of the third side'.

So, according to our options:

A. In 2, 4, 8. We have 2 + 4 = 6 < 8

B. In 2, 4, 6. We see that, 2 + 4 = 6

C. In 3, 5, 7. We see that, 3 + 5 = 8 > 7

D. In 3, 5, 9. We see that, 3 + 5 = 8 < 9.

Therefore, only option C satisfies the property of the triangle stated above.

Hence, 3, 5, 7 are the side lengths of a triangle.

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kogti [31]

Answer:

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Step-by-step explanation:

example: 5x5 = 25

25-14 = 11

5x3 = 15

so false

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2 years ago

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Answer:

35°

Step-by-step explanation:

The central arc is equal to the arc that subtends it, then

arc AC = 75° and

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2 years ago

A Triangle on a coordinated plane is translated

motikmotik

Answer:

Translated how?

Step-by-step explanation:

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2 years ago

In an examination of purchasing patterns of shoppers, a sample of 16 shoppers revealed that they spent, on average, $54 per hour

Lesechka [4]

Answer:

$54-1.64\frac{21}{\sqrt{16}}=45.39$

$54 +1.64\frac{21}{\sqrt{16}}=62.61$

So on this case the 90% confidence interval would be given by (45.39;62.61)

Step-by-step explanation:

Previous concepts

A confidence interval is "a range of values that’s likely to include a population value with a certain degree of confidence. It is often expressed a % whereby a population means lies between an upper and lower interval".

The margin of error is the range of values below and above the sample statistic in a confidence interval.

Normal distribution, is a "probability distribution that is symmetric about the mean, showing that data near the mean are more frequent in occurrence than data far from the mean".

$\bar X=54$ represent the sample mean

$\mu$ population mean (variable of interest)

$\sigma=21$ represent the sample standard deviation

n=16 represent the sample size

Solution to the problem

The confidence interval for the mean is given by the following formula:

$\bar X \pm z_{\alpha/2}\frac{\sigma}{\sqrt{n}}$ (1)

Since the Confidence is 0.90 or 90%, the value of $\alpha=1-0.9=0.1$ and $\alpha/2 =0.05$ , and we can use excel, a calculator or a table to find the critical value. The excel command would be: "=-NORM.INV(0.05,0,1)".And we see that $z_{\alpha/2}=1.64$

Now we have everything in order to replace into formula (1):

$54-1.64\frac{21}{\sqrt{16}}=45.39$

$54 +1.64\frac{21}{\sqrt{16}}=62.61$

So on this case the 90% confidence interval would be given by (45.39;62.61)

4 0

3 years ago

The legs of a right triangle are 3 units and 8 units. What is the length of the hypotenuse? Round your answer to the nearest hun

Juliette [100K]

Pythagorean Theorem
3*3+8*8=x*x
9+64=x*x
73=x*x
x=√73≈8.5

4 0

3 years ago