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padilas [110]
3 years ago
10

Answer the last one please answer fast

Mathematics
1 answer:
Oduvanchick [21]3 years ago
4 0

Answer:

Step-by-step explanation:

Put the equation in the form ax+by+c=0:

y\sqrt{3} =8x+\sqrt{3} \\=>8x-\sqrt{3} y+\sqrt{3} =0

Check the solutions:

(0,-1):

8(0)-\sqrt{3} (-1)+\sqrt{3} =2\sqrt{3}

So this is not a solution.

((\sqrt{3} ,9):

8\sqrt{3} -9\sqrt{3} +\sqrt{3} =0

So this is a solution

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Step-by-step explanation:

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Step-by-step explanation:

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3 years ago
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The diagram shows an empty cylindrical container. Ana puts a solid cube of side length 8 cm into the container. She then pours 1
marshall27 [118]

Answer:

<h3><u>Cylinder</u></h3>

\textsf{Volume of a cylinder}=\sf \pi r^2 h \quad\textsf{(where r is the radius and h is the height)}

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  • h = 18 cm

\begin{aligned}\implies \sf V &= \sf \pi (6)^2(18)\\& = \sf 648 \pi \: cm^3\end{aligned}

<h3><u>Cube</u></h3>

\textsf{Volume of a cube}=\sf x^3\quad\textsf{(where x is the side length)}

Given:

  • x = 8 cm

\begin{aligned}\implies \sf V &= 8^3\\& = \sf 512 \: cm^3\end{aligned}

<h3><u>Volume available to be filled with water</u></h3>

Volume of cylinder - volume of cube

= 684π - 512

= 1532.75204 cm³

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⇒ 1.5 litres = 1000 × 1.5 = 1500 cm³

As 1500 < 1532.75204, the volume of water poured into the container is smaller than the empty space available in the cylinder.  Therefore, the water will <u>not</u> come over the top of the container.

4 0
2 years ago
Two bowls of pasta at a restaurant serve 3 people. How many bowls of pasta should be ordered for 12 people?
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6 0
4 years ago
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You can calculate them out and check which one is the most accurate

so if one of the choices was 1/3 of 50, then you would do:
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And you can compare it with the EXACT number, which is:
0.25*53=13.25

This way you can test all the options
8 0
4 years ago
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