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allsm [11]
2 years ago
11

A triangle has side lengths of 7 inches, 12 inches, and c inches. Enter values to write an inequality that describes the possibl

e values for c, the length of the third side of the triangle.
Mathematics
1 answer:
Leokris [45]2 years ago
6 0

<u><em>Answer:</em></u>

The inequality is: 5<c<19

Length of third side "c" can have values greater than 5 but less than 19

<u><em>Solution:</em></u>

Given that,

Length of two sides of triangle are 7 inches and 12 inches respectively

Let the length of third side be "c"

The Triangle Inequality Theorem, states that, the sum of the lengths of any two sides of a triangle is greater than the length of the third side

So we get a inequality as:

Case 1:

Sum of length of two sides of triangle > length of third side

Rewrite,

Case 2:

Let 12 inches be the length of third side

Sum of sides of length 7 and c > 12

Therefore from case 1 and case 2,

Which can be combined,

<u><em>Therefore the possible values of "c" are:</em></u>

<u><em>"c" can have values greater than 5 but less than 19</em></u>

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Quick algebra 1 question for 10 points!
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The range of the <em>quadratic</em> function y = (2 / 3) · x² - 6 is {- 6, 0, 18, 48}.

<h3>What is the range of a quadratic equation?</h3>

In this case we have a <em>quadratic</em> equation whose domain is stated. The domain of a function is the set of x-values associated to only an element of the range of the function, that is, the set of y-values of the function. We proceed to evaluate the function at each element of the domain and check if the results are in the choices available.

x = - 9

y = (2 / 3) · (- 9)² - 6

y = 48

x = - 6

y = (2 / 3) · (- 6)² - 6

y = 18

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y = (2 / 3) · 0² - 6

y = - 6

x = 3

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y = 0

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The range of the <em>quadratic</em> function y = (2 / 3) · x² - 6 is {- 6, 0, 18, 48}.

To learn more on functions: brainly.com/question/12431044

#SPJ1

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2 years ago
Assume that 3 digits are selected at random from the set {1,3,5,6,7,8} { 1 , 3 , 5 , 6 , 7 , 8 } and are arranged in random orde
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20, 17,16, 17, 18, 16, 18, 19<br><br>what is the mode of the data set?​
pychu [463]

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Step-by-step explanation:

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Hence here our set of entries is,

20,17,16,17,18,16,18,19

arranging them in ascending order

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hence  in this case we see that 16,17and 18 all are getting repeated for two times, the maximum.

Hence we have a trimode here

16,17,18

7 0
3 years ago
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