Graphing inequalities k < -3

Mathematics

1 answer:

NikAS [45]4 years ago

7 0

Step-by-step explanation: So when graphing this problem, we start at -3 on our number line with an open dot because <em>k</em> is less than but not equal to -3. I have shown this in the image attached below.

We then draw an arrow going to the left to represent all number less than -3.

Finally, we put our answer in set notation which is shown below.

{K: k < -3}

All this means is that if we take any number less than -3, this will be a solution for the inequality <em>k < -3</em>.

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The surface areas of two similar solids are 169 m2 and 81 m2. the volume of the larger solid is 124.92 m3. which proportion corr

ikadub [295]

By finding the scale factor, we will see that the volume of the smaller solid is 86.75 m³.

<h3>How to get the volume of the smaller solid?</h3>

If the solids are similar, then there is a scale factor between the two. Then the relation between the areas is equal to the scale factor squared, and the relation between the volumes is equal to the scale factor cubed.

This means that if the areas are 169 m² and 81 m², then we can write:

169 m² = (k²)*81 m²

Solving for k, we get:

k = √(169 m²/81 m²) = 1.44

Then if the volume of the large solid is 124.92m³ we can write:

124.92m³ = k³*V

Replacing k and solving for V we get:

124.92m³ = (1.44)³*V

(124.92m³/ (1.44)³) = V = 86.75 m³

If you want to learn more about scale factors:

brainly.com/question/3457976

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