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bogdanovich [222]
3 years ago
15

Which value of the vanable is a solution of the inequality? t<-6 7 6 -6 -7

Mathematics
1 answer:
oksian1 [2.3K]3 years ago
6 0

Answer:

-7

Step-by-step explanation:

-7 is a solution of the inequality t<-6

By the way, for the number -6, you can think about a temperature below zero. When it is freezing 6 degrees below zero (-6) it is pretty cold.

The question is which number(s) can you substitute for t so that the formula (the inequality) is True.

So let's try for each given value and substitute it for t in t<-6

if you substitute 7 for t you get this:

Is 7 smaller then -6 ?

No that is not true because 7 is bigger then -6.

if you substitute 7 for t you get this:

Is 7 smaller then -6 ?

No that is not true because 7 is much bigger then -6.

if you substitute 6 for t you get this:

Is 6 smaller then -6 ?

No that is not true because 6 is much bigger then -6.

if you substitute -6 for t you get this:

Is -6 smaller then -6 ?

No, that is NOT true because -6 is exactly the same as -6 but NOT smaller then -6...

if you substitute-7 for t you get this:

Please think about temperatures below zero again.

Is -7 colder the -6 ? If so, then the statement is true...

Is -7 smaller then -6 ?

Yes that is true!

So -7 is a solution of the inequality t<-6

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How do you find the height of a triangle (to calculate area)?
Lilit [14]

Answer:

The height of the triangle could be found by the <u>Pythagoras theorem</u>, where the result is, with the data of the exercise:

  • <u>Height of the triangle = 10.392</u>

And the area of the triangle is:

  • <u>Area of the triangle = 31.176 units^2</u>

Step-by-step explanation:

When you have two measurements of a triangle, as the case in the picture, you can find the third with the <em>Pythagoras theorem</em>, which is:

  • <u>(opposite leg)^2 + (adjacent leg)^2 = hypotenuse^2</u>

As you can see in the picture, the measurement of the hypotenuse is 12, and the opposite leg could be 6, for this reason, we're gonna clear the adjacent leg of the formula above:

  • (opposite leg)^2 + (adjacent leg)^2 = hypotenuse^2
  • (adjacent leg)^2 = hypotenuse^2 - (opposite leg)^2

Now, we can replace the values in the formula obtained:

  • (adjacent leg)^2 = hypotenuse^2 - (opposite leg)^2
  • (adjacent leg)^2 = 12^2 - 6^2
  • (adjacent leg)^2 = 144 - 36
  • (adjacent leg)^2 = 108

Now, as we just need the adjacent leg, we take the square root of both sides:

  • adjacent leg = \sqrt{108}
  • <u>adjacent leg = 10.392 approximately</u>.

Now, with these data, we can find the area of the triangle with the next formula:

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  • And we replace the measurements:
  • Area of a triangle = (6 * 10.392) / 2
  • <u>Area of a triangle = 31.176</u>

As the image does not contain units, it would be simply this number, however, <em>you should know that the area units are usually given squared, for example: in^2 or ft^2</em>.

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2 years ago
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Answer:

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Step-by-step explanation:

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2 x 7/1= 1/7× 7/1

14/1=14

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